REPORT SERIES

CENTER FOR APPROXIMATION THEORY

Mathematics Department
Texas A&M University
College Station, Texas 77843-3368

The Center for Approximation Theory sponsors a report series to disseminate the research results of Center members and visitors. The following list of reports includes the original issue date (in square brackets) as well as publication information on those papers which have appeared in journals and conference proceedings.
  1. Schumaker, L. L., On Hyperbolic Splines, J. Approx. Th. 38 (1983), 144-166. [9-81]
  2. Schumaker, L. L., Optimal spline solutions of systems of ordinary differential equations, in Differential Equations, Proc. Sao Paulo 1981, Lecture Notes 957, Springer-Verlag, Heidelberg, 1982. [9-81]
  3. Chui, C. K. and R. H. Wang, On smooth multivariate spline functions, Math. Comp. 41 (1983), 131-142. [9-81]
  4. Chui, C. K. and R. H. Wang, Bivariate cubic B-splines relative to cross-cut triangulations, Chinese Annals of Math. 4 (1983), 509-523. [9-81]
  5. Blatter, J. and L. L. Schumaker, The set of continuous selections of a metric projection in C(X), J. Approx. Th. 36 (1982), 141-155. [10-81]
  6. Chui, C. K. and R. H. Wang, Multivariate B-spline on triangulated rectangles, J. Math. Anal. Applic. 92 (1983), 533-551. [10-81]
  7. Chui, C. K. and R. H. Wang, On a bivariate B-spline basis, Scientia Sinica 27 (1984), 1129-1142. [10-81]
  8. Schumaker, L. L., On recursions for generalized splines, J. Approx. Th. 36 (1982), 16-31. [11-81]
  9. Chui, C. K. and R. H. Wang, Multivariate spline spaces, J. Math. Anal. Appl. 94 (1983), 197-221. [11-81]
  10. Wojtaszczyk, P., H_p-spaces, p>= 1, and spline systems. [11-81]
  11. Chui, C. K. and C. Franchetti, An extremal problem concerning differential operators and applications to optimal reconstruction, J. Nonlinear Anal. 6 (1982), 971-981. [12-81]
  12. Blatter, J. and L. L. Schumaker, Continuous selections and maximal alternators for spline approximation, J. Approx. Th. 38 (1983), 71-80. [12-81]
  13. Chui, C. K., P. W. Smith, and J. D. Ward, Cholesky factorization of positive definite bi-infinite matrices, J. Numer. Functional Anal. Optimiz. 5 (1982), 1-20. [1-82]
  14. Schumaker, L. L., On shape preserving quadratic spline interpolation, SIAM J. Numer. Anal. 20 (1983), 854-864. [2-82]
  15. Mach, J., Chebychev centers of compact sets with respect to Stone-Weistrass subspaces. [3-82]
  16. Amir, D. and J. Mach, Best N-sets in normed spaces, Int. Workshop on Approx. Th. and Its Applic., Edmonton, Academic Press, New York, 1981, 1-11. [3-82]
  17. Chui, C. K. and L. L. Schumaker, On spaces of piecewise polynomials with boundary conditions, I. Rectangles, in Multivariate Approximation, II, W. Schempp and K. Zeller (eds.), Birkhäuser, Basel, 1982, 69-80. [5-82]
  18. Chui, C. K., L. L. Schumaker, and R. H. Wang, On spaces of piecewise polynomials with boundary conditions, II. Type-1 triangulations, in Second Edmonton Conference on Approximation Theory, Z. Ditzian et al. (eds.), CMS Vol. 3, AMS, Providence, 1983, 51-66. [5-82]
  19. Chui, C. K., L. L. Schumaker, and R. H. Wang, On spaces of piecewise polynomials with boundary conditions, III. Type-2 triangulations, in Second Edmonton Conference on Approximation Theory, Ditzian et al. (eds.), CMS Vol. 3, AMS, Providence, 1983, 67-80. [5-82]
  20. Chui, C. K. and R. H. Wang, Spaces of bivariate cubic and quartic splines on type-1 triangulations, J. Math. Anal. Applic. 101 (1984), 540-554. [7-82]
  21. Chui, C. K., Design and analysis of linear predictor-corrector digital filters, Linear and Multilinear Algebra 15 (1984), 47-64. [7-82]
  22. Nürnberger, G., L. L. Schumaker, M. Sommer, and H. Strauss, Interpolation by generalized splines, Numer. Math. 42 (1983), 195-212. [7-82]
  23. Nürnberger, G., L. L. Schumaker, M. Sommer, and H. Strauss, Generalized Tchebycheffian splines, SIAM J. Math. Anal. 15 (1984), 790-804. [8-82]
  24. Nürnberger, G., L. L. Schumaker, M. Sommer, and H. Strauss, Approximation by generalized splines, J. Math. Anal. Applic. 108 (1985), 466-495. [9-82]
  25. Schumaker, L. L., Bounds on the dimension of spaces of multivariate piecewise polynomials, Rocky Mt. J. Math. 14 (1984), 251-264. [10-82]
  26. Holland, S. and W. Light, The L_1 version of the Diliberto-Straus algorithm in C(T \times S), Proc. Ed. Math. Soc. 27 (1984), 31-45. [10-82]
  27. Franchetti, C. and S. Holland, Two extensions of the von Neumann alternating algorithm, Ann. Mat. Pura Appl. 134 (1983), 79-91. ``Errata Corrige", Ann. Mat. Pura Appl. 139 (1983), 401. [10-82]
  28. Franchetti, C. and W. Light, On the von Neumann alternating algorithm in Hilbert space, J. Math. Anal. Applic. [11-82]
  29. Chui, C. K., H. Diamond, and L. A. Raphael, Best local approximation in several variables, J. Approx. Th. 40 (1984), 343-350. [12-82]
  30. Szabados, J., Polynomial approximation on disjoint intervals, in Anniversary Volume on Approximation Theory and Functional Analysis, P. L. Butzer, R. L. Stens, and B. Sz.-Nagy (eds.), Birkhäuser, Basel, 1984, 257-267. [1-83]
  31. Kamp, W., R. Lorentz, and P. Rejto, On a generalization of a theorem of Stinespring. [2-83]
  32. Lorentz, R., Some new periodic Chebycheff subspaces, J. Approx. Th. 61 (1990), 13-22. [2-83]
  33. Popov, V. A. and J. Szabodos, On the convergence and saturation of the Jackson polynomials in L_p spaces, J. Approx. Th. Applic. 1(1) (1984), 1-10. [3-83]
  34. Franchetti, C. and W. Light, On the von Neumann alternating algorithm in uniformly convex spaces, J. Lon. Math. Soc. 2 (1984), 545-555. [3-83]
  35. Halton, J. and W. Light, Minimal projections in bivariate function spaces, J. Approx. Th. 44 (1985), 315-324. [3-83]
  36. Koch, P. E., An extension of the theory of orthogonal polynomials and Gaussian quadrature to trigonometric and hyperbolic polynomials, J. Approx. Th. 43 (1985), 157-177. [4-83]
  37. Lyche, T., A recurrence relation for Chebyshevian B-splines. [10-83]
  38. Chui, C. K. and Xie-Chang Shen, Order of approximation by electrostatic fields due to electrons, Const. Approx. 1 (1985), 121-136. [10-83]
  39. Fogwell, T. W., A collocation method for inverse problems in differential equations. [10-83]
  40. Fogwell, T. W., A Green's function method for inverse problems in differential equations. [10-83]
  41. Höllig, K. and J. A. Nohel, A singular free boundary problem. [10-83]
  42. Chui, C. K. and Xie-Chang Shen, Degrees of rational approximation in digitial filter realization, in Rational Approximation and Interpolation, P. R. Graves-Morris, E. B. Saff, and R. S. Varga (eds.), Springer-Verlag Lecture Notes 1105, 1985, 189-209. [11-83]
  43. Micchelli, C. A., P. W. Smith, J. Swetits, and J. D. Ward, Constrained L_p approximation, Constructive Approx. 1 (1985), 93-102. [11-83]
  44. Cohen, E., T. Lyche, and L. L. Schumaker, Degree raising for splines, J. Approx. Th. 46 (1986), 170-181. [11-83]
  45. Chui, C. K. and R. H. Wang, Concerning C¹ B-splines on triangulations of non-uniform rectangular partitions, J. Approx. Th. Applic. 1(1) (1984), 11-18. [1-84]
  46. Höllig, K. and M. Pilant, Regularity of the free boundary for the one dimensional porous medium equation, Indiana J. Math. (1984). [1-84]
  47. Prolla, J. B., Best approximation for non-linear operators, in Proc. of the 18th Brazilian Seminar of Analysis, Soc. Brasil. Matem., 1983, 111-135. [1-84]
  48. Prolla, J. B., Existence of best approximants in Banach Spaces of cross-sections, in Aspects of Mathematics and Applications, North Holland, 1985. [1-84]
  49. Dahmen, W. and C. Micchelli, Subdivision algorithms for the generation of box spline surfaces. [1-84]
  50. Chui, C. K., H. Diamond, and L. A. Raphael, On best data approximation, J. Approx. Th. Applic. 1(1) (1984), 37-56. [2-84]
  51. Chen, G. and C. K. Chui, Design of near-optimal linear digital tracking filter with colored input, J. Comp. and Appl. Math. [3-84]
  52. Dahmen, W. and C. A. Micchelli, On the solution of certain systems of partial difference equations and linear dependence of translates of box splines, Trans. Amer. Math. Soc. 292 (1985), 305-320. [3-84]
  53. Dahmen, W., C. A. Micchelli, and P. W. Smith, On factorization of bi-infinite totally positive block Toeplitz matrices. [3-84]
  54. Li, Yuesheng, Regularization-spline techniques for solving integral equations of the first kind, SIAM J. Numer. Anal. [3-84]
  55. Li, Yuesheng, Multivariate optimal interpolation to scattered data throughout a rectangle I--with continuous boundary conditions. [3-84]
  56. Li, Yuesheng, Multivariate optimal interpolation to scattered data throughout a rectangle II--with discrete boundary conditions. [3-84]
  57. Li, Yuesheng, On the recurrence relations for B-splines defined by certain L-splines, J. Approx. Th. 43 (1985), 359-369. [3-84]
  58. Shen, Xie-Chang, On the incompleteness, basis and moment problem of a system of analytic functions, Scienta Sinica. [4-84]
  59. Shen, Xie-Chang, On the basis of rational functions in a certain class of domains, J. Approx. Th. Applic. 1(1) (1984), 123-140. [5-84]
  60. de Boor, C., K. Höllig, and S. Riemenschneider, Convergence of bivariate cardinal interpolation, Const. Approx. 1 (1985), 183-193. [6-84]
  61. Baszenski, G. and F-J. Delvos, A remark on (N+1) point Hermite interpolation. [9-84]
  62. Micchelli, C. A., Interpolation of scattered data: distance matrices and conditionally positive definite functions. [9-84]
  63. de Boor, C., K. Höllig, and S. Riemenschneider, Some qualitative properties of bivariate Euler-Frobenius polynomials, in Approximation Theory IV, C. K. Chui, L. L. Schumaker, and J. D. Ward (eds.) Academic Press, New York, 1984, 359-363. [9-84]
  64. Hu, C. L. and L. L. Schumaker, Tensor-product natural spline smoothing, in Delay Equations, Approximation and Applications, G. Meinardus and G. Nürnberger (eds.) Birkhäuser, 1985, 466-494. [9-84]
  65. Hu, C. L. and L. L. Schumaker, Complete spline smoothing, Numer. Math. 49 (1986), 1-10. [10-84]
  66. Fawzy, T. and L. L. Schumaker, A piecewise polynomial lacunary interpolation method, J. Approx. Th. 48 (1986), 407-426. [10-84]
  67. Baszenski, G. and L. L. Schumaker, On a method for fitting an unknown function based on mean value measurements, SIAM J. Numer. Anal. 24 (1987), 725-736. [10-84]
  68. Utreras, F. I., Positive thin plate splines, J. Approx. Applic. 1(3) (1985), 77-108. [10-84]
  69. Jetter, K., Uniqueness of Gauss-Birkhoff quadrature formulas, SIAM J. Numer. Anal. 24 (1987), 147-154. [10-84]
  70. Gonska, H. and K. Jetter, Jackson type theorems on approximation by trigonometric and algebraic pseudopolynomials, J. Approx. Th. 48 (1986), 396-406.[11-84]
  71. Chen, H-L., Y. S. Hu, and C. A. Micchelli, On the shape of the fundamental function for cardinal L-spline interpolation. [12-84]
  72. Cohen, E. and L. L. Schumaker, Rates of convergence of control polygons, Computer-Aided Geometric Design 2 (1985), 229-235. [12-84]
  73. Pilant, M., Galerkin approximation to equations of mixed type. [1-85]
  74. Chui, C. K. and M. J. Lai, On bivariate vertex splines, in Multivariate Approximation Theory III, W. Schempp and K. Zeller (eds.), Birkhäuser, 1985, 84-115. [1-85]
  75. Utreras, F. I., Convergence rates for multivariate smoothing spline functions, J. Approx. Th. 52 (1988). [1-85]
  76. Ward, J. D. and P. W. Smith, Distinguished solutions to an L_\infty minimization problem, Approx. Th. Applic. 4(2) (1988), 29-40. [1-85]
  77. Ward, J. D. and K. T. Andrews, LU-Factorization of order bounded operators on Banach sequence spaces, J. Approx. Th. 48 (1986), 169-180. [3-85]
  78. Chui, C. K., Approximations and expansions, Ency. Phy. Sci. and Tech., Vol. 1, Academic Press, N.Y., 1987, 661-687. [3-85]
  79. Baszenski, G. and L. L. Schumaker, Tensor products of abstract smoothing splines, in Proc. Haar Memorial Conf., J. Szabados (ed.), Bolyai Soc., Budapest, 1986, 181-192. [4-85]
  80. Baszenski, G., n-th order polynomial spline blending, in Multivariate Approximation Theory III, W. Schempp and K. Zeller (eds.) Birkhäuser, Basel, 1985, 35-46. [4-85]
  81. Utreras, F. I., On generalized cross-validation for multivariate smoothing spline functions. [5-85]
  82. Chui, C. K. and M. J. Lai, Computation of box splines and B-splines on triangulations of non- uniform rectangular partitions, J. Approx. Th. Applic. 3 (4) (1987), 37-62. [5-85]
  83. Utreras, F. I., Smoothing noisy data under monotonicity constraints. Existence, characterization and convergence rates, Numer. Math. 47 (1985), 611-625. [6-85]
  84. Chui, C. K., T. X. He, and R. H. Wang, The C^2 quartic spline space on a four-directional mesh, J. Approx. Th. Applic. 3 (4) (1987), 32-36. [7-85]
  85. Chui, C. K. T. X. He, and R. H. Wang, Interpolation by bivariate linear splines, in Proc. Haar Memorial Conf., J. Szabados (ed.). [8-85]
  86. Chui, C. K., K. Jetter, and J. D. Ward, Cardinal interpolation by multivariate splines, Math. Comp. 48 (1987), 711-724. [9-85]
  87. Hsu, L. C. and Y. S. Chou, On a method for the construction of boundary-type cubature formulas. [9-85]
  88. Chui, C. K. and M. J. Lai, A multivariate analog of Marsden's identity and a quasi-interpolation scheme, Const. Approx. 3 (1987), 111-122. [10-85]
  89. Chen, G. and C. K. Chui, A note on the Kalman canonical decomposition, J. Math. Res. and Exp. 6 (1986), 75-79. [10-85]
  90. Schumaker, L. L. and W. Volk, Efficient algorithms for evaluating multivariate polynomials, CAGD 3 (1986), 149-154. [10-85]
  91. Schumaker, L. L., Numerical aspects of spaces of piecewise polynomials defined on triangulations, in Algorithms for Approximation, J. Mason and M. G. Cox (eds.), Clarendon Press, Oxford, (1987). [10-85]
  92. Fawzy, T. and Z. Ramadan, Error of an arbitrary order for the approximate solution of system of ordinary differential equations with spline functions. [10-85]
  93. Alfeld, P., B. Piper, and L. L. Schumaker, An explicit basis for C¹ quartic bivariate splines, SIAM J. Numer. Anal. 24 (1987), 891-911. [6-86]
  94. Chui, C. K. and M. J. Lai, VanderMonde determinants and Lagrange interpolation in R^s, in Nonlinear and Convex Analysis, B. L. Lin and S. Simons (Eds.), Marcel Dekker, N.Y., 1987, 23-35. [10-85]
  95. Króo, A., Best L_1 approximation with varying rates. [10-85]
  96. Chui, C. K. and X. L. Shi, Characterization of weights in best rational weighted approximation of piecewise smooth functions I, J. Approx. Theory 54 (1988), 180- 195. [11-85]
  97. de Boor, C. and K. Höllig, Minimal support for bivariate splines, Approx. Theory and Its Appl.3(4) (1987), 11-23. [5-84]
  98. Smith, P. W. and J. D. Ward, Factorization of diagonally dominant operators on \ell_1 (June 1984), III. J. Math 29 (1985), 370-381. [7-84]
  99. Andrews, K. T. and J. D. Ward, Factorization of diagonally operators on L_1[0,1], Trans. A.M.S. 291 (1985), 789-800. [7-84]
  100. Legg, D. A., F. J. Narcowich, and J. D. Ward, Best approximation from stepped subspaces, Approx. Th. Applic. 1(2) (1985), 29-49. [7-84]
  101. Legg, D. A. and J. D. Ward, A canonical trace class approximant, Proc. A.M.S. 93 (1985), 653-656. [7-84]
  102. Andrews, K. T., P. W. Smith, and J. D. Ward, LU-factorization of operators on \ell_1, Proc. A.M.S. 98 (1986), 247-252. [8-85]
  103. Chui, C. K. and H. Diamond, A natural formulation of quasi-interpolation by multivariate splines, Proc. Amer. Math. Soc 99 (1987), 643-646. [12-85]
  104. Chui, C. K. and X. L. Shi, Characterization of weights in best rational weighted approximation of piecewise smooth functions II, J. Approx. Theory 54 (1988), 196-209. [1-86]
    .
  105. Chen, G. and C. K. Chui, A modified adaptive Kalman filter for real-time applications, Circuits, Systems, and Signal Processing, IEEE Trans.\ Aero. & Elec.\ Sys. 27 (1991), 149-153. [1-86]
  106. Moss, W. F., P. W. Smith, and J. D. Ward, Nonlinear eigenvalue problems. [1-86]
  107. Chen, G., C. K. Chui, and M. J. Lai, Construction of spline quasi-interpolation schemes, Approx. Theory Applic. 4(4) (1988), 61-75. [3-86]
  108. Chui, C. K., T. X. He, and L. C. Hsu, On a general class of multivariate linear smoothing operators, J. Approx. Th. 55 (1988), 35-48. [3-86]
  109. Alfeld, P. and L. L. Schumaker, On the dimension of bivariate spline spaces, Const. Approx. 3 (1987), 189-197.
  110. Kroó, A. and F. Peherstorfer, Interpolatory properties of best L_1 approximation. [3-86]
  111. Le Méhauté, A., Piecewise polynomial interpolation in R^n: Basic aspects of the finite element method. [4-86]
  112. La France, Y. and A. Le Méhauté, Graphic analysis of data in R^3 using 3D-finite element interpolation. [3-86]
  113. Le Méhauté, A., Piecewise polynomial interpolation in R^n: Basic aspects of the finite element method. [4-86]
  114. Le Méhauté, A., Spline technique for differentiation in R^n. [4-86]
  115. Chui, C. K. and X.-C. Shen, On completeness of the system \{(1-\alpha_i)-\alpha-1\} in AP(\phi), Approx. Th. Applic. 4(2) (1988), 1-8. [4-86]
  116. Correc, I. and A. Le Méhauté, Lg-splines and axisymmetric thin shells. [4-86]
  117. Chen, Tianping, Error estimate for spline of high order. [4-86]
  118. Chui, C. K. and T. X. He, On minimal and quasi-minimal supported bivariate splines, J. Approx. Th. 52 (1988), 217-238. [5-86]
  119. Chui, C. K., T. X. He, and L. C. Hsu, Asymptotic properties of positive linear operators, J. Approx. Th. 55 (1988), 49-60. [5-86]
  120. Kroó, A. and F. Peherstorfer, Interpolatory properties of best rational L_1 approximation, Constructive Approx. 4 (1988), 97-106. [5-86]
  121. Schumaker, L. L. and F. Utreras, Asymptotic properties of complete smoothing splines and applications, J. Sci. Stat. Comp. [5-86]
  122. Chui, C. K., H. Diamond, and L. A. Raphael, Interpolation by multivariate splines, Math. of Comp. 51 (1988), 203-218. [6-86]
  123. Peherstorfer, F., Orthogonal and Cheybshev poltynomials in two intervals. [6-86]
  124. Kroó, A. and F. Peherstorfer, On the zeros of polynomials of minimal L_p norm, Proc. AMS. [6-86]
  125. Chui, C. K., H. Diamond, and L. A. Raphael, Interpolation by bivariate quadratic splines on a non-uniform rectangular grid, Trans. Fourth Army Conf. Appl. Math. 1987, 1261-1266. [6-86]
  126. Alfeld, P., B. Piper, and L. L. Schumaker, Minimally supported bases for bivariate C^r piecewise polynomials of smoothness r and degree d >= 4r+1, CAGD 4 (1987), 105-123. [8-86]
  127. Alfeld, P., B. Piper, and L. L. Schumaker, Spaces of bivariate splines on triangulations with holes, Approx. Th. Applic. 3(4) (1987), 1-10. [8-86]
  128. Dahmen, W. and C. A. Micchelli, Some remarks on ridge functions. [9-86]
  129. Alfeld, P., B. Piper, and L. L. Schumaker, An explicit basis for C¹ quartic bivariate splines, SIAM J. Numer. Anal. [9-86]
  130. Chui, C. K. and Guanrong Chen, An efficient algorithm for order reduction of transfer functions, IEEE Trans. Auto. Cont. 32 (1987), 521-523. [9-86]
  131. Chui, C. K. and T. X. He, On the dimension of bivariate superspline spaces, Math. Comp. 53 (1989), 219-234. [10-86]
  132. Guo, Shunsheng and Leetsch Hsu, Inverse theorems for a certain class of operators. [10-86]
  133. Guo, Shunsheng, On the rate of convergence of the Feller operator for functions of bounded variation. [11-86]
  134. Guo, Shunsheng, Global approximation theorems for gamma operators in polynomial weight spaces. [11-86]
  135. Chui, C. K. and T. X. He, On location of sample points for interpolation by bivariate C¹ quadratic splines, in {\sl Numerical Approximation Theory, L. Collatz et al. (eds.), Birkhäuser, Basel, 1987, 30-43. [1-87]
  136. Chui, C. K. and M. J. Lai, On multivariate vertex splines and applications, in Topics in Multivariate Approximation, C. K. Chui, L. L. Schumaker, and F. Utreras (eds.), Academic Press, New York, 1987, 19-36 . [2-87]
  137. Tsui, T. and J. D. Ward, Interpolation of states by vector states on certain operator algebras, Integral Equations and Op. Th. [2-87]
  138. Schumaker, L. L., Triangulation methods, in Topics in Multivariate Approximation, C. K. Chui, L. L. Schumaker, and F. Utreras (eds.), Academic Press, New York, 1987, 219-232. [2-87]
  139. Franke, R. and L. L. Schumaker, A bibliography of multivariate approximation, in Topics in Multivariate Approximation, C. K. Chui, L. L. Schumaker, and F. Utreras (eds.), Academic Press, New York, 1987, 275-335. [2-87]
  140. Ward, J., Polynomial reproducing formulas and the comutator of a locally supported spline, in Topics in Multivariate Approximation, C. K. Chui, L. L. Schumaker, and F. Utreras (eds.), Academic Press, New York, 1987, 255-264. [2-87]
  141. Bojanov, B., \sigma-perfect splines and their application to optimal recovery problems. [3-87]
  142. Bojanov, B., On the optimal quadrature formulas in W^r_q of quasi-Hermitian type. [3-87]
  143. Bojanov, B., Comparison of Birkhoff type quadrature formulae. [4-87]
  144. Chui, C. K. and T. X. He, On the dimension of bivariate super spline spaces, Math. of Comp. 53 (1989), 219-234. [4-87]
  145. Chui, C. K., G. Chen, and H. Chui, Modified extended Kalman filtering and parallel system parameter identification, IEEE Trans. Auto. Cont. 35 (1) (1990), 100-104. [6-87]
  146. Chui, C. K., H. Diamond, and L. Raphael, Shape-preserving quasi-interpolation and interpolation by box spline surfaces, J. Comp. and Appl. Math. 25 (1989), 169-198. [7-87]
  147. Chui, C. K. and T. X. He, Bivariate C¹ quadratic finite elements and vertex splines, Math. of Comp. 254 (1990), 169-187. [7-87]
  148. Chui, C. K., H. C. Chui, and T. X. He, Shape-preserving interpolation by C¹ quadratic splines. [8-87]
  149. Schumaker, L. L., Dual bases for spline spaces on cells, CAGD. [8-87]
  150. Schumaker, L. L., On super splines and finite elements, SIAM J. Numer. Anal. 26 (1989), 997-1005. [8-87]
  151. Chui, C. K., F. Deutsch, and J. D. Ward, Constrained best approximation in Hilbert space, Const. Approx. 6 (1990), 35-64. [9-87]
  152. Andrews, K. T. and J. D. Ward, Proximinality in operator algebras on L_1, J. Operator Th. 17 (1987), 213-221. [9-87]
  153. Smith, P. W. and J. D. Ward, Quasi-interpolants from spline interpolation operators, Const. Approx. 6 (1990), 97-110. [9-87]
  154. Ron, A., A necessary and sufficient condition for the linear independence of the integer translates of a compactly supported distribution, Const. Approx. 5 (1989), 297-308. [9-87]
  155. Sahab, S. M. A., Best L_p-simultaneous approximation of quasi-continuous functions on [0,1]
    by monotone functions. [10-87]
  156. Bryant, A. and J. Bryant, Recognizing shapes in planar binary images, Pattern Recognition 22 (1989), 155-164. [10-87]
  157. Ron, A. and A. Ben-Artzi, Translates of exponential box splines and their related spaces, Transactions AMS, 309 (1988), 683-710. [6- 87]
  158. Bryant, J., On displaying MSS imagery, Photogrammetric Engineering and Remote Sensing 54 (1988), 1739-1743. [1-88]
  159. Bryant, J., A fast classifier for image data, Pattern Recognition 22 (1989), 45-48. [1-88]
  160. Dyn, N. and A. Ron, Local approximation by certain spaces of exponential polynomials, approximation order of exponential box splines, and related interpolation problems. [1-88]
  161. Lai, M. J., A remark on translates of a box spline, Approx. Theory and Its Appl. [1-88]
  162. Chui, C. K. and M. J. Lai, Multivariate vertex splines and finite elements, J. Approx. Th. 60 (1990), 245-343. [2-88]
  163. Ron, A., Relations between the support of a compactly supported function and the exponential polynomials spanned by its integer translates, Const. Approx. 6 (1990), 139-155. [2-88]
  164. Chui, C. and M. J. Lai, On bivariate super vertex splines, Constr. Approx. 6 (1990), 399-419. [3-88]
  165. Nürnberger, G., L. Schumaker, M. Sommer, and H. Strauss, Uniform approximation by generalized splines with free knots, J. Approx. Th. [3-88]
  166. Golitscheck, M. and L. L. Schumaker, Penalized least squares methods. [4-88]
  167. Bryant, A. and J. Bryant, Following boundaries of discrete objects in space, Pattern Recognition. [7-88]
  168. Bryant, J. and C. Krumvieda, Display of discrete 3-D binary objects I--Shading, Computers & Graphics. [8-88]
  169. Chui, C. K., X. Li, and J.D. Ward, System reduction via truncated Hankel matrices, Math. Control, Signals, Systems 4 (1991), 161- 175. [8-88]
  170. Chui, C. K. and A. Ron, On the convolution of a box spline with a compactly supported distribution: linear independence for the integer translates, Can. J. Math. 4 (1) (1991), 19-33. [6-88]
  171. Chui, C. K. and H. Diamond, A Characterization of multivariate quasi-interpolation formulas and its applications, Num. Math. 57 (1990), 105-121. [8-88]
  172. Mhaskar, H. N., Bounds for certain Freud polynomials. [9-88]
  173. Chen, M. C. and S. S. P. Shen, On the limit of subcritical free-surface flow over an obstruction. [10-88]
  174. Bryant, J. and C. Krumvieda, Shape measures and discrete surface integrals in space. [10-88]
  175. Burchard, H. G., C. K. Chui, and J. D. Ward, Polynomial degree and approximation order. [11-88]
  176. Mhaskar, H. N. and C. A. Micchelli, On the n-width approximation of entire functions. [12-88]
  177. Chui, C. K. and H. N. Mhaskar, A general study of maximal robust stability regions, Circuits, Systems, and Signal Processing 10 (1991), 15-30. [1-89]
  178. Mhaskar, H. N. and Y. Xu, The rate of convergence of a Hermite interpolation process. [1-89]
  179. Mhaskar, H. N. and E. B. Saff, On the distribution of zeros of polynomials orthogonal on the unit circle. [1-89]
  180. Mhaskar, H. N. and Y. Xu, Hermite interpolation at the zeros of certain Freud-type orthogonal polynomials. [1-89]
  181. Bowers, S. R., C. K. Chui, and M. J. Lai, An algorithm for generating B-nets and graphically displaying box splines surfaces. [2- 89]
  182. Chui, C. K. and X. C. Shen, On Hermite-Fejér interpolation in a Jordan domain, Trans. Amer. Math. Soc. 323 (1991), 93-109. [2-89]
  183. Bryant, J., AMOEBA clustering revisted, Photogrammetric Engineering and Remote Sensing. [2-89]
  184. Chui, C. K., X. Li, and J. D. Ward, On the Convergence rate of s-numbers of compact Hankel operators, Circuits Systems and Signal Process. 11 (2) (1992), 353-362. [2-89]
  185. Chen, H. and C. K. Chui, On a generalized Euler spline and its applications to the study of convergence in cardinal interpolation and solutions of certain extremal problems, Acta Mathematica Hungarica. [2- 89]
  186. Chen, H., C. K. Chui, and C. A. Micchelli, Asymptotically optimal sampling schemes for periodic functions II: The multivariate case, in Multivariate Approximation Theory IV, Birkhäuser, 1989, 73-86. [3-89]
  187. Chui, C. K., X. Li, and L. Zhong, On computation of minimum norm tangent interpolants, in Approximation Theory VI: Volume I, C. K. Chui, L. L. Schumaker, and J. D. Ward (eds.) Academic Press, New York, 1989, 137-140. [3-89]
  188. Chui, C. K., J. Stöckler, and J. D. Ward, Bivariate cardinal interpolation with a shifted box spline on a three-directional mesh, in Approximation Theory VI: Volume I, C. K. Chui, L. L. Schumaker, and J. D. Ward (eds.) Academic Press, New York, 1989, 141-144. [3-89]
  189. Stöckler, J., On minimum norm interpolation by multivariate Bernoulli splines, in Approximation Theory VI: Volume II, C. K. Chui, L. L. Schumaker, and J. D. Ward (eds.) Academic Press, New York, 1989. [3-89]
  190. Chui, C. K. and H. Diamond, A general framework for local interpolation, Numer. Math. 58 (1991), 569-581. [6-89]
  191. Diener, D., The dimension of spaces of smooth piecewise polynomials on honeycomb partitions. [6-89]
  192. Chui, C. K., Vertex splines and their applications to interpolation of discrete data, in Computation of Curves and Surfaces, W. Dahmen, M. Gasca, and C. A. Micchelli (Eds.), Kluwer Academic Publishers, 1990, 137-181. [7-89]
  193. Chui, C. K., F. Deutsch, and J. D. Ward, Constrained best approximation in Hilbert space II, J. Approx. Th. 71 (2) (1992), 231-238. [8-89]
  194. Chen, G., On the uniqueness of a mixed-norm best approximation. [8-89]
  195. Cheney, E. W. and W. A. Light, The Fix-Strang theory for functions having non-compact support. [8-89]
  196. Narcowich, F. J. and J. D. Ward, Norms of inverses of matrices associated with scattered data, J. Approx. Theory 64 (1991), 69-94. [9-89]
  197. Chui, C. K., X. Li, and J. D. Ward, Rate of convergence of Schmidt pairs rational functions corresponding to best approximants of truncated Hankel operators, Math. Control Signals and Systems 5 (1992), 67-79. [9-89]
  198. Chui, C. K. and H. Diamond, Approximation and interpolation formulas for real-time applications, in Trans. 7th Army Conf. of Applied Math. and Computing, 1990, 765-772. [9-89]
  199. Narcowich, F. J. and J. D. Ward, Norm estimates for inverses of scattered-data interpolation matrices associated with completely monotonic radial functions. [1-90]
  200. Chui, C. K., Construction and applications of interpolation formulas, in Multivariate Approximation and Interpolation, Ed. by W. Haussmann and K. Jetter, ISNM Series in Math., Birkhäuser Verlag Basel, 1990, 11-23. [12-89]
  201. Ball, K., Invertibility of Euclidean distance matrices and radial basis interpolation. [12-89]
  202. Lee, E. T. Y., Choosing nodes in parametric curve interpolation, Talk presented at the CAT Annual Symposium, April 1989. [12-89]
  203. Sun, X., Scattered data interpolation by sums of ridge functions, Talk presented at the CAT Annual Symposium, April 1989. [12-89]
  204. Chen, G., Optimal recovery of certain nonlinear analytic mappings, Talk presented at the CAT Annual Symposium, April 1989. [12-89]
  205. Chen, G., A simple treatment for suboptimal Kalman filtering in case of measurement data missing. [12-89]
  206. Lee, E. T. Y., Variations on a Theorem of Epstein. [12-89]
  207. Chui, C. K., K. Jetter, and J. D. Ward, Cardinal interpolation with differences of tempered functions, Comp. Math. Appl. 24 (12) (1992), 35-48. [1-90]
  208. Chui, C. K., J. Stöckler, and J. D. Ward, A Faber series approach to cardinal interpolation, Math. Comp. 58 (197) (1992), 255-273. [2-90]
  209. Chui, C. K., X. C. Shen, and Lefan Zhong, On Lagrange interpolation at disturbed roots of unity, Trans. Amer. Math. Soc. 336 (2) (1993), 817-830. [4-90]
  210. Chui, C. K., X. C. Shen, and L. Zhong, Estimation of complex quasi-interpolatory approximation using average modules of continuity. [4-90]
  211. Chui, C. K. and J.-Z. Wang, A cardinal spline approach to wavelets, Proc. Amer. Math. Soc. 113 (1991), 785-793. [4-90]
  212. Chui, C. K. and J.-Z. Wang, Quasi-interpolation functionals on spline spaces. [4-90]
  213. Chui, C. K. and J.-Z. Wang, On compactly supported spline wavelets and a duality principle, Trans. Amer. Math. Soc. 330 (1992), 903-916. [5-90]
  214. Chui, C. K. and X. Li, Solution of the four-block problem via minimum-norm interpolation. [5-90]
  215. Chen, G. and C. Koc, Parallel algorithms for Nevanlinna-Pick interpolation: the scalar case. [5-90]
  216. Chui, C. K. and H. N. Mhaskar, On multivariate robust stability, SIAM J. Cont. and Optimization 30 (5) (1992), 1289-1297. [5-90]
  217. Chui, C. K., J. Stöckler, and J. D. Ward, Singularity of cardinal interpolation with shifted box splines. [5-90]
  218. Narcowich, F. J. and J. D. Ward, Norm estimates for the inverses of a general class of scattered data interpolation matrices, Journal of Approx. Theory 69 (1992), 84-109. [5-90]
  219. Chui, C. K. and J. Z. Wang, A general framework of compactly supported splines and wavelets, J. Approx. Theory 71 (3) (1992), 263-403. [6-90]
  220. Chui, C. K., Curve design and analysis using splines and wavelets, in Trans. 8th Army Conf. on Appl. Math. and Computing, June 1990, 471-481. [6-90]
  221. Chan, A. K. and C. K. Chui, Real-time signal analysis with quasi-interpolatory splines and wavelets, in Curves and Surfaces, P. J. Laurent, A. Le Méhauté, and L. L. Schumaker (eds.), Academic Press, New York, 1991, 75-82. [7-90]
  222. Chui, C, K. and X. Li, Approximation by ridge functions and neural networks with one hidden layer, J. Approx. Th. 70 (2) (1991), 131-141. [7-90]
  223. Chui, C. K., An overview of wavelets, in Approximation Theory and Functional Analysis, C. K. Chui (ed.), Academic Press, New York, 1991, 47-71. [7-90]
  224. Sun, Xingping and E. W. Cheney, The fundamentality of sets of ridge functions. [8-90]
  225. Sun, Xingping, Norm estimates for inverses of Euclidean distance matrices. [8-90]
  226. Sun, Xingping, Interpolation by ridge and related functions. [8-90]
  227. Chui, C. K., Wavelets and spline interpolation, in {\sl Wavelets, Subdivision Algorithms, and Radial Functions, W. Light (Ed.), Oxford University Press, Oxford, 1992, 1-35. [8-90]
  228. Light, W. A. and E. W. Cheney, Interpolation by periodic radial basis functions, J. Math. Anal. Appl. 168 (1992), 111-130. [9-90]
  229. Chui, C. K. and L. T. Guan, Multivariate polynomial natural splines for interpolation of scattered data and other applications, in Geometric Modeling, to appear. [9-90]
  230. Chui, C. K., J. Stöckler, and J. D. Ward, Compactly supported box-spline wavelets. [9-90]
  231. Chui, C. K. and J. Z. Wang, An analysis of cardinal-spline wavelets, J. Approx. Theory 72 (1) (1993), 54-68. . [9-90], Revised [11-91]
  232. Gruberger, N., D. Levin, and C. K. Chui, Adding flexibility to piecewise-quadratic curves and surfaces. [9-90]
  233. Buhmann, M. and C. K. Chui, On the density of radial function spaces and stability of radial function approximations, J. Approx. Theory, to appear. [10-90]
  234. Chui, C. K., J. Stöckler, and J. D. Ward, Polynomial expansions for cardinal interpolants and orthonormal wavelets, in Curves and Surfaces, P. J. Laurent, A. Le Méhauté, and L. L. Schumaker (eds.), Academic Press, New York, 1991, 83-90. [11-90]
  235. Chui, C. K. and J. Z. Wang, Computational and algorithmic aspects of cardinal-spline wavelets, Approx. Theory and Its Appl. 9(1) (1993), 53-75. [12-90]
  236. Chui, C. K., On cardinal-spline wavelets, in Wavelets and Their Applications, M. Ruskai, G. Beylkin, R. R. Coifman, I. Daubechies, S. Mallat, Y. Meyer and L. Raphael, (eds.), Jones & Bartlett, Boston, 1992, 419-438. [12-90]
  237. Goodman, T. N. T. and A. Sharma, A Bernstein type operator on the simplex. [12-90]
  238. Tikhomirov, V. M., Lectures on extremal problems in approximation theory. [12-90]
  239. Goodman, T. N. T. and K. Unsworth, Interactive shape preserving interpolation by curvature continuous rational cubic splines. [1-91]
  240. Ball, K., N. Sivakumar, and J. D. Ward, On the sensitivity of radial basis interpolation to minimal data separation distance, Constr.\ Approx.\ 8 (1992), 401-426. [1-91]
  241. Goodman, T. N. T. and A. Sharma, Trigonometric interpolation. [1-91]
  242. Chen, Guanrong, An optimal trajectory tracking problem for certain nonlinear control systems. [1-91]
  243. Fawzy, Th. and M. Ahmed, Approximate solution of the initial value problem y'''=f(x, y) using deficient spline polynomial. [2-91]
  244. Chui, C. K. and X. Li, Realization of neural networks with one hidden layer. [3-91]
  245. Chan, A. K., C. K. Chui, J. Z. Wang, Q. Liu, and J. Zha, Introduction to B-wavelets and applications to signal processing. [3-91]
  246. Prestin, J. and E. Quak, On interpolation and best one sided approximation by splines in L_p, in Proceedings of Sixth Southeastern Approximation Theorists Annual Conference, George A. Anastassiou (Ed.), 409-420. [4-91]
  247. Quak, E., N. Sivakumar, and J. D. Ward, Least squares approximation by radial functions, to appear in SIAM J. Math.\ Anal. [4-91]
  248. Fawzy, Th., Z. Ramadan, and A. Ayad, Error of an arbitrary order for the approximate solution of system of second order differential equations with spline functions, 1. [4-91]
  249. Chui, C. K. and X. Shi, Inequalities of Littlewood-Paley type for frames and wavelets, SIAM J. of Math. Analysis 24 (1) (1993), 263-277. [5-91]
  250. Chui, C. K. and X. Shi, On a Littlewood-Paley identity and characterization of wavelets, Math. Anal. Appl., 177 (2) (1993), 608-626. [6-91]
  251. Sivakumar, N. and J. D. Ward, On the best least squares fit by radial functions to multidimensional scattered data, Numer. Math., to appear. [7-91], [6-92]
  252. Chui, C. K., On wavelet analysis, in U.S.-U.S.S.R. Workshop Vol., A. Gonchar and E. Saff (eds.), Springer-Verlag, to appear. [7-91]
  253. Chui, C. K., Wavelets--with emphasis on spline-wavelets and applications to signal analysis, in NATO Advanced Institute Studies, Approximation Theory, Splines, and Applications, S. Singh (ed.), to appear. [8-91]
  254. Chui, C. K. and H. N. Mhaskar, On trigonometric wavelets, Constr. Approx. 9 (1993), 167-190.
  255. Goodman, T. N. T. and A. Sharma, Factorization of totally positive, symmetric, periodic, banded matrices with applications, [9-91]
  256. Goodman, T. N. T., S. L. Lee, and W. S. Tang, Wavelets in wandering subspaces, [3-91]
  257. Goodman, T. N. T., New bounds on the zeros of spline functions, [10-91]
  258. Goodman, T. N. T., Two ways to construct a smooth piecewise rational curve, [11-91]
  259. Chui, C. K. and X. L. Shi, Characterization of scaling functions and wavelets, Aprox. Theory and its Appl. 9 (3) (1993), 37-52. [11- 91]
  260. Chui, C. K. and X. L. Shi, Wavelets and multiscale interpolation, CAGD and Signal Analysis, T. Lyche and L. Schumaker (eds.), Academic Press, 1992, to appear. [11-91]
  261. Chui, C. K. and Chun Li, Non-orthogonal wavelet packets, SIAM J. Math. Anal. 24 (1993), 712-738. [12-91]
  262. Chen, Guanrong, Effect of Inexact mechanization in real-time Kalman-filtering: Convergence and error analysis. [2-92]
  263. Chui, C. K., Dong Hong, and S. T. Wu, On the degree of multivariate Bernstein polynomial operators, J. Approx. Theory 78(1) (1994), 77-86. [2-92]
  264. Chui, C. K. and X. Shi, N x oversampling preserves any tight affine-frame for odd N, Proc. Amer. Math. Soc. 121 (2) (1994), 511-517. [3-92]
  265. Chui, C. K. and E. Quak, Wavelets on a bounded interval, in Numerical Methods of Approximation Theory, D. Braess and L. L. Schumaker (eds.), Birkhäuser Verlag, Basel, 1992, to appear. [3-92]
  266. Chui, C. K. and M. J. Lai, Algorithms for generating B-nets and graphically displaying spline surfaces on three and four-dimensional meshes, Computer Aided Geometric Design 8 (1991), 479- 493. [3-92]
  267. Chui, C. K. and X. Shi, Bessel sequences and affine frames, Applied Computational and Harmonic Analysis, submitted. [3-92]
  268. Chui, C. K. and C. Li, A general framework of multivariate wavelets with duals, Applied Computational and Harmonic Analysis 1 (1994), 368-390. [3-92]
  269. Kurdila, A., F. J. Narcowich, and J. D. Ward, Persistency of excitation in identification using radial basis function approximants, SIAM J. Control and Optimization 33 (1995), 625-642. [4-92]
  270. Chui, C. K., Wavelets and signal analysis, in Approx. Theory VII, E. W. Cheney, C. K. Chui, and L. L. Schumaker (eds.), Academic Press, Boston, 1992, 19-61. [4-92]
  271. Chui, C. K. and Xin Li, Continuity of best Hankel approximation and its application to systems reduction, submitted to SIAM J. Control Opt. [6-92, revised 2-93]
  272. Cheng, Zhengxing and C. K. Chui, Characterization of convexity in terms of Bézier coefficients I: surfaces over triangles, Advances in Comp. Math, submitted. [6-92]
  273. Battle, Guy, Application of wavelets to the plane rotator model. [6-92]
  274. Cheng, Z. and C. K. Chui, Characterization of convexity in terms of Bézier coefficients II: Parametric surfaces, Advances in Comp. Math, submitted. [7-92]
  275. Battle, Guy, Wavelet refinement of the Wilson recursion formula. [7-92]
  276. Chui, C. K. and X. Li, Generalized wavelet decompositions of bivariate functions, Proc. Amer. Math. Soc., to appear. [7-92]
  277. Chui, C. K., Wavelet analysis and its applications, Trans. 9th Army Conf. on Computational and Applied Math., to appear. [9-92]
  278. Chui, C. K., X. C. Shen, and L. Zhong, On Lagrange polynomial quasi-interpolation. [9-92]
  279. Chen, J. J., A. K. Chan, and C. K. Chui, A local interpolatory cardinal spline method for the determination of eigenstates in quantum well structures with arbitrary potential profiles, IEEE J. of Quantum Electronics 30 (2) (1994), 269-274. [9-92]
  280. Narcowich, F. J. and J. D. Ward, Generalized Hermite interpolation via matrix valued conditionally positive definite functions, Mathematics of Computation 63 (1994), 661-688. [10-92]
  281. Baxter, B. J. C., N. Sivakumar, and J. D. Ward, Regarding the p-norms of radial basis interpolation matrices. [11-92]
  282. Chui, C. K. and X. L. Shi, On L^p-Boundedness of affine frame operators, Indag. Mathem., N.S. 4 (4) (1993), 431-438. [11-92]
  283. Chui, C. K. and X. L. Shi, Continuous two-scale equations and dyadic wavelets, Math. Comp., to appear. [12-92]
  284. Chui, C. K. and J. de Villiers, Applications of optimally local interpolation to constructions of interpolatory approximants and compactly supported wavelets, Adv. in Comp. Math. 2 (1994), 185-213. [12-92, revised 12-93, 6-94]
  285. Chui, C. K. and J. A. Lian, Construction of compactly supported symmetric and antisymmetric orthonormal wavelets. [12-92]
  286. de Bruyn, G. F. C. and J. M. de Villiers, Formulae for 1+2p+3p+...+np. [10-92]
  287. Narcowich, F. J., N. Sivakumar, and J. D. Ward, On condition numbers associated with radial-function interpolation, Journal of Math. Analysis and Applications 186 (1994), 457-485 [1-93]
  288. Dechevsky, Lubomir T., On the sharp constants of equivalence between integral moduli of smoothness and K functionals. [2-93]
  289. Chui, C. K., Xin Li, and H. N. Mhaskar, Neural networks for localized approximation. [2-93]
  290. Chui, C. K., Koçc, Çetin K., and Guanrong Chen, Analysis of Computational Methods for Wavelet Signal Decomposition and Reconstruction, IEEE Trans.\ on Aerospace Systems, to appear. [3-93]
  291. Chui, C. K., D. Hong, and R. Q. Jia, Stability of optimal-order approximation by bivariate splines over arbitrary triangulations, Trans. AMS 347 (1995), 3301-3318. [3-93]
  292. Goodman, T. N. T., Charles A. Micchelli, and J. D. Ward, Spectral radius formulas for subdivision operators. [3-93]
  293. Chui, C. K. and Xianliang Shi, On multi-frequency wavelet decompositions. [4-93]
  294. Quak, Ewald and Norman Weyrich, Decomposition and reconstruction algorithms for spline wavelets on a bounded interval. [4-93]
  295. Chui, Charles K. and Chun Li, Dyadic affine decompositions and functional wavelet transforms. [4-93]
  296. Prestin, J. and E. Quak, Trigonometric interpolation and wavelet decompositions. [4-93]
  297. Du, Min, Andrew K. Chan, and Charles K. Chui, A novel approach to solving the nonlinear Schrödinger equation by the coupled amplitude-phase formulation. [4-93]
  298. Battle, Guy, Wavelets of Federbush-Lemarié Type. [5-93]
  299. Chui, Charles K. and J. D. Ward, Invertibility of shifted box spline interpolation operators, SIAM J. Math. Anal. 22 (2) (1991), 543-553. [5-93]
  300. Chen, Guanrong and Huaiyi Wu, Convergence analysis of the extended Kalman filter. [6-93]
  301. Chui, Charles K. and Dong Hong, Optimal approximation by C^\prime quadratic edge spline elements. [6-93], accepted Math. Comp. [2-95]
  302. Dechevsky, Lubomir T., Explicit computation ofthe K- functional between Hilbert spaces, to appear in J. of Functional Analysis. [6-93]
  303. Du, Min, Andrew K. Chan, and Charles K. Chui, A theoretical investigation of soliton decoupling in cross-phase modulation systems, Proceedings of Integrated Photonic Research, IPR-93 (1993), 305-308. [7-93]
  304. Chen, J. J., A. K. Chan, and C. K. Chui, Simulations of space-charge effects on quantum-well devices using self-consistent solution to the Schrödinger-Poisson equations, Proceedings of Integrated Photonic Research, IPR-93 (1993), 499-502. [7-93]
  305. Chan, Andrew K., and Charles K. Chui, Applications of spline-wavelet packets to echo cancellation and other signal processing problems, Proceedings of Canadian Conference on Electrical and Computer Engineering, CECE-92. [7-93]
  306. Liu, Q., A. K. Chan, C. K. Chui, E. Pettit, and D. Rhines, A hybrid technique using spline-wavelet packets and vector quantization for high rate image compression. [7-93]
  307. Chui, Charles K. and X. L. Shi, Some inequalities on affine operators and Littlewood-Paley sum and their applications. [8-93]
  308. Chui, Charles K. and X. L. Shi, Affine operators and frames of multivariate wavelets. [9-93]
  309. Narcowich, Francis J., Generalized hermite interpolation and positive definite kernels on a Riemannian Manifold, J. Math. Anal. Applic. 190 (1995), 165-193. [8-93]
  310. Chan, Andrew K., Charles K. Chui, and Jaideva Goswami, Fast integral wavelet transform on a dense set of time-scale domain, Num. Math., accepted. [9-93, revised 2-95]
  311. Chui, Charles K., Guanrong Chen, and Lang Hong, A Filter-bank- based Kalman filtering technique for wavelet estimation and decomposition of random signals. [9-93, revised 9-95]
  312. Chui, Charles K., Guanrong Chen, and Lang Hong, Real-time simultaneous estimation and decomposition of random signals. [9-93, revised 10-95]
  313. Chui, Charles K., Guanrong Chen, and Xiaoning Dong, A neural network implementation for localized approximation of continuous multivariable functions. [9-93]
  314. Goswami, J. C., A. K. Chan, and C. K. Chui, An application of fast integral wavelet transform to waveguide mode identification. [9-93, revisedd 2-95]
  315. Prestin, Jürgen and Ewald Quak, A duality principle for trigonometric wavelets. [9-93]
  316. Quak, Ewald and Norman Weyrich, Decomposition and reconstruction algorithms for bivariate spline wavelets on a bounded interval. [9-93]
  317. Chui, Charles K., J. Stöckler, and J. D. Ward, Analytic wavelets generated by radial functions. Advances in Comp. Math. 5 (1996), 95-123. [10-93, revised 8-94].
  318. Lian, Jian-ao, Semiorthogonal wavelets with dilation factor a=3. [10-93]
  319. Brumme, Gisela, Error estimates for periodic interpolation by translates. [11-93]
  320. Tasche, Manfred and Norman Weyrich, Smoothing Inversion of Fourier Series Using Generalized Cross-Validation. [11-93]
  321. Battle, Guy, Spherically Harmonic Huygen Wavelets. [12-93]
  322. Chui, C. K. and J. Z. Wang, High-Order Orthonormal Scaling Functions and Wavelets Give Poor Time-Frequency Localization. [12-93, revised 4-94, accepted 11-95]
  323. Chui, C. K. and J. Z. Wang, A study of asymptotically optimal time-frequency windows of scaling functions and wavelets. [12-93, revised 1-96]
  324. Chui, C. K. and J. Z. Wang, A study of compactly supported scaling functions and wavelets. [1-94]
  325. Chui, C. K., X. Shi, and A. K. Chan, An oversampled frame algorithm for real-time implementation and applications. [1-94]
  326. Chui, C. K. and J. A. Lian, Construction of compactly supported symmetric and antisymmetric orthonormal wavelets with scale =3*, Appl. Comp. & Harmonic Analysis 1 (1995), 21-51. [1-94]
  327. Chui, C. K. and Dong Hong, Swapping edges of arbitrary triangulations to achieve the optimal order of approximation. [2-94], [accepted SIAM J. Num. Analysis, 9-95]
  328. Ainsleigh, Phillip L. and Charles K. Chui, B-Wavelet based smoothing of noisy data. [2-94]
  329. Deutsch, Frank, Vasant A. Ubhaya, Joseph D. Ward, and Yuesheng Xu, Constrained best approximation in Hilbert space III. Applications to n-convex functions. [3-94]
  330. Quak, Edward, Trigonometric wavelets for Hermite Interpolation. [5-94]
  331. Goodman, T. N. T., Charles A. Micchelli, & J. D. Ward, Spectral radius formulas for the dilation-convolution integral operator. [6-94]
  332. Lee, H. J., J. C. Liu, A. K. Chan, and C. K. Chui, Parallel implementation of wavelet decomposition/reconstruction algorithms, SPIE 2242 Wavelet Applications (1994), 248-259. [5-94]
  333. Chui, Charles K., Kurt Jetter, and Joachim Stöckler, Wavelets and frames on the four-directional mesh. [6-94]
  334. Goswami, J. C., A. K. Chan, and C. K. Chui, On a spline-based fast integral wavelet transform algorithm. [6-94, revised 2-95]
  335. Massopust, P. R., D. K. Ruch, and P. J. Van Fleet, On the support properties of scaling vectors. [7-94]
  336. Koç, Çetin K., Guanrong Chen, and C. K. Chui, Complexity analysis of wavelet signal decomposition and reconstruction. [7-94]
  337. Chui, Charles K. and Xianliang Shi, Inequalities on matrix-dilated Littlewood-Paley energy functions and oversampled affine operators. [7-94, revised 9-95]
  338. Chui, Charles K. and Chun Li, Characterization of smoothness via functional wavelet transforms. [7-94]
  339. Chui, Charles K., A recent development of wavelets and frames, Proceedings of the 14th IMACS World Contress on Computational and Applied Mathematics, Georgia Institute of Technology, July, 1994, 1183- 1185. [8-94]
  340. Narcowich, F. J., and J. D. Ward, Wavelets associated with periodic basis functions, Applied and Computational Harmonic Analysis 3 (1996) 40-56. [8-94]
  341. Goswami, Jaideva C., Andrew K. Chan, and Charles K. Chui, On solving first-kind integral equations using wavelets on a bounded interval. [9-94, revised 2-95]
  342. Quak, Ewald, and Norman Weyrich, Wavelets on the interval. [9-94]
  343. Chui, C. K., and X. Shi, On the convergence of localized cosine series. [9-94, revised 4-95]
  344. Chui, C. K. and X.-L. Huang, Wavelet-Galerkin method for Cauchy singular integral equation on bounded interval. [1-96]
  345. Chui, C. K., and T. X. He, Bivariate interpolatory rational splines. [9-94]
  346. (Duplicate of CAT \#301) Chui, C. K. and D. Hong, Optimal approximation by C^\prime quadratic edge spline elements. [6-93], accepted Math. Comp. [2-95]
  347. Narcowich, F. and J. D. Ward, Nonstationary wavelets on the m-sphere for scattered data, Applied and Computational Harmonic Analysis 3 (1996) 324-336. [4-95]
  348. Quak, E. and N. Weyrich, Algorithms for trigonometric wavelet packets. [11-94]
  349. Lian, J. A., Characterization of the order of polynomial- reproduction for multi-scaling functions. [3-95, revised 7-95]
  350. Chui, C. K., K. Jetter, J. Stöckler, and J. D. Ward, Wavelets for analyzing scattered data: An unbounded operator approach. Applied and Computational Harmonic Analysis 3 (1996) 40-56. [12-94]
  351. Chui, C. K. and J. A. Lian, A study of orthonormal multi- wavelets. [2-95]
  352. Wang, Jianzhong, Cubic spline wavelet bases of Sobolev spaces and multilevel interpolation. [2-95]
  353. Prestin, J., and Ewald Quak, Time frequency localization of trigonometric Hermite operators. [3-95]
  354. Quak, Ewald and N. Weyrich, Spline wavelet packets on an interval. [2-95]
  355. Chui, C. K., Xin Li, and H. N. Mhaskar, Limitations of the approximation capabilities of neural networks with one hidden layer. [3- 95]
  356. Lian, J. A., On the order of polynomial-reproduction for multi-scaling functions. [5-95, revised 1-96]
  357. Hong, D., Optimal triangulations for the best C¹ quartic spline approximation. [5-95]
  358. Prestin, Jürgen and Ewald Quak, Optimal functions for a periodic uncertainty principle and multiresolution analysis. [6-95]
  359. Tam, P. Y., A. K. Chan, and C. K. Chui, A real-time acoustic echo cancellation system for echoes with time-varying delays using oversampled frame wavelet transform. [ 6-95]
  360. Quak, Ewald and N. Weyrich, Algorithms for spline wavelt packets on an interval. [6-95]
  361. Chui, C. K. and X. L. Shi, On stability bounds of perturbed multivariate trigonometric systems. [8-95]
  362. Chui, C. K. and M. De Villiers, Spline-wavelets with arbitrary knots on a bounded interval: Orthogonal decomposition and computational algorithms. [8-95]
  363. Sivakumar, N., A note on the Gaussian cardinal-interpolation operator. [9-95]
  364. Liu, Steve, ?
  365. Chui, C. K. and Lefan Zhong, Polynomial interpolation and Marcinkiewicz-Zygmund inequalities on the unit circle. [9-95]
  366. Baxter, B. J. C. and N. Sivakumar, On shifted cardinal interpolation by Gaussians and multiquadrics. [10-95]
  367. Chen, Guanrong, Representation approximation and identification. [10-95]
  368. Lian, Jian-ao, Orthonormal multi-wavelets with small supports. [12-95]
  369. Wang, Minsheng, Andrew K. Chan, and Charles K. Chui, Linear frequency modulated signal detection using radon-ambiguity transform. [11-95]
  370. Stöckler, J., A Laurent operator technique for multivariate frames and wavelet bases. [3-96]
  371. Dyn, N., F. J. Narcowich, and J. D. Ward, Variational principles and Sobolev-type estimates for generalized interpolation on a Riemannian manifold, Constructive Approximation, to appear. [4-96]
  372. Chui, C. K., X. L. Shi, and J. Stöckler, Affine frames, quasi-affine frames, and their duals. [6-96]
  373. Hanisch, Jörg, Block-realtime algorithms for cardinal spline interpolation and spline-wavelet decomposition. [11-96]
  374. Chui, C. K. and X. L. Shi, A study of biorthogonal sinusoidal wavelets. [10-96]
  375. Chui, C. K. and X. L. Shi, Characterization and construction of biorthogonal cosine wavelets. [11-96]
  376. Chui, C. K. and X. L. Shi, Wavelets of Wilson type with arbitrary shapes. [11-96] [revised 7-97]
  377. Bittner, K., C. K. Chui, and J. Prestin, Multivariate cosine wavelets. [12-96]
  378. Narcowich, F. J., N. Sivakumar, and J. D. Ward, Stability results for scattered-data interpolation on Euclidean spheres, Advances in Computational Mathematics, to appear. [1-97]
  379. Narcowich, F. J., R. Schaback, and J. D. Ward, Multilevel Interpolation and Approximation, Applied and Computational Harmonic Analysis, to appear. [1-97] [revised 2-98]
  380. Riemenschneider, S. D. and N. Sivakumar, On cardinal interpolation by Gaussian radial-basis functions: properties of fundamental functions and estimates for Lebesgue constants. [12-97]
  381. Bittner, K. and C. K. Chui, From local cosine bases to global harmonics. [2-98]
  382. Jetter, K., J. Stöckler, and J. D. Ward, Norming sets and spherical cubature formulas, pp. 237-245 in Computational Mathematics, (Z. Chen, Y. Li, C. Micchelli, Y. Xu, eds.), Marcel Decker, New York, 1998. [2-98]
  383. Lian, Jian-ao, Complex-valued Orthonormal Scaling Functions. [1-97]
  384. Feng, F., L.-S. Shieh, and G. Chen, Model conversions of uncertain linear systems using interval multipoint Pade Approximation, Appl. Math. Modelling 21 (1997) 221-244. [5-98]
  385. Riemenschneider, S. D., and N. Sivakumar, Gaussian Radial-Basis Functions: Cardinal Interpolation of l p and Power-Growth Data. [6-98]
  386. Chen, Guanrong, Zhongying Chen, and Yuesheng Xu, Numerical Computation of a Damped Slewing Beam with Tip Mass, [8-98]
  387. Chui, C. K. and X. L. Shi, Shift-invariant bi-inner product functionals are inner products. [10-98]
  388. Erdélyi, T., Markov-type inequalities for products of Müntz polynomials. [10-98]
  389. Borwein, P. and T. Erdléyi, Markov-Bernstein type inequalities under Littlewood-type coefficient constraints. [10-98]
  390. Erdélyi, T., Notes on inequalities with doubling weights. [10-98]
  391. Erdélyi, T., On the equation a(a+d)(a+2d)(a+3d) = x2. [10-98]
  392. Erdélyi, T., Markov- and Bernstein-type inequalities for Müntz polynomials and exponential sums in Lp. [10-98]
  393. Mhaskar, H. N., F. J. Narcowich and J. D. Ward, Quadrature Formulas on Spheres Using Scattered Data. [11-98]
  394. Mhaskar, H. N., F. J. Narcowich and J. D. Ward, Approximation Properties of Zonal Function Networks Using Scattered Data on the Sphere. [11-98]
  395. Chui, C. K. and X. L. Shi, Bounded linear operators that commute with shifts are scaled identity. [2-99]
  396. Mhaskar, H. N., F. J. Narcowich and J. D. Ward, Quasi-interpolation in shift invariant spaces. [7-99]