F. J. Narcowich, J. D. Ward, and G. B. Wright, Divergence-free RBFs on Surfaces, J. Fourier Anal. Appl., to appear.
F. J. Narcowich, X. Sun, J. D. Ward, and H. Wendland, Direct and Inverse Sobolev Error Estimates for Scattered-Data Interpolation via Spherical Basis Functions, Found. Comput. Math., to appear.
F. J. Narcowich, P. Petrushev, and J. D. Ward, Decomposition of Besov and Triebel-Lizorkin spaces on the sphere, J. Funct. Anal., 238 (2006), 530-564.
F. J. Narcowich, P. Petrushev, and J. D. Ward, Localized Tight Frames on Spheres, SIAM J. Math. Anal., 38 (2006), 574-594.
Q. T. Le Gia, F. J. Narcowich, J. D. Ward, and H. Wendland, Continuous and Discrete Least-Squares Approximation by Radial Basis Functions on Spheres, J. Approx. Theory, 143 (2006), 124-133.
F. J. Narcowich, J. D. Ward, and H. Wendland, Sololev Error Estimates and a Bernstein Inequality for Scattered-Data Interpolation via Radial Basis Functions, Constr. Approx., 24 (2006) 175-186. DOI 10.1007/s00365-005-0624-7, URL http://dx.doi.org/10.1007/s00365-005-0624-7.
F. J. Narcowich, X. Sun, and J. D. Ward, Approximation Power of RBFs and Their Associated SBFs: A Connection, Adv. Comput. Math., to appear.
F. J. Narcowich, J. D. Ward, and H. Wendland, Sololev Bounds on Functions with Scattered Zeros, with Applications to Radial Basis Function Surface Fitting, Math. Comp., 74 (2005), 743-763.
F. J. Narcowich and J. D. Ward, Scattered-Data interpolation on Rn: Error Estimates for Radial Basis and Band-limited Functions, SIAM J. Math. Anal., 36 (2004), 284-300.
F. J. Narcowich, J. D. Ward, Preface [Computation and approximation on the sphere], Adv. Comput. Math. 21 (2004), no. 1-2, 1--2.
H. N. Mhaskar, F.J. Narcowich and J. D. Ward, On the representation of band-dominant functions on the sphere using finitely many bits, Adv. Comput. Math., 21 (2004), 127-146.
F. J. Narcowich, J. D. Ward, and H. Wendland, Refined Error Estimates for Radial Basis Function Interpolation, Constr. Approx., 19 (2003), 541-564.
H. N. Mhaskar, F. J. Narcowich, and J. D. Ward, Zonal function network frames on the sphere, Neural Networks, 16 (2003) 183-203.
R. A. Lorentz, F. J. Narcowich, and J. D. Ward, Collocation Discretizations of the Transport Equation with Radial Basis Functions, Appl. Math. Comput., 145 (2003), 97-116.
F. J. Narcowich and J. D. Ward, Scattered-Data interpolation on the Sphere: Error Estimates and Locally Supported Basis Functions, SIAM J. Math. Anal., 33 (2002), 1393-1410.
F. J. Narcowich, N. Sivakumar, and J. D. Ward, On convergent interpolatory processes associated with periodic-basis functions, Acta Sci. Math. (Szeged), 68 (2002), 133-161.
H. N. Mhaskar, F. J. Narcowich, N. Sivakumar, and J. D. Ward, Approximation with Interpolatory Constraints, Proc. Amer. Math. Soc., 130 (2002), 1355-1364.
F. J. Narcowich, R. Schaback, and J. D. Ward, Approximation in Sobolev spaces by kernel expansions, J. Approx. Theory, 114 (2002) 70-83.
H. N. Mhaskar, F. J. Narcowich, and J. D. Ward, ``Representing and Analyzing Scattered Data on Spheres,'' Multivariate Approximation and Applications, edited by N. Dyn, D. Leviatan, D. Levin, and A. Pinkus, Cambridge University Press, Cambridge, U. K., 2001.
H. N. Mhaskar, F. J. Narcowich, and J. D. Ward, Spherical Marcinkiewicz-Zygmund Inequalities and Positive Quadrature, Math. Comp., 70 (2001) 1113-1130.
H. N. Mhaskar, F. J. Narcowich, and J. D. Ward, Neural network frames on the sphere; in ``Neural networks for signal processing, X, (B. Widrow, L. Guan, K. Paliwa, T. Adall, J. Larsen, E. Wilson, and S. Douglas Eds.), IEEE, New York, 2000, pp. 175--184.
H. N. Mhaskar, F. J. Narcowich, J. Prestin, and J. D. Ward, Polynomial frames on the sphere, Adv. Compt. Math., 13 (2000), 387-403.
H. N. Mhaskar, F. J. Narcowich, and J. D. Ward, Quasi-interpolation in shift invariant spaces, J. Math. Anal. Appl., 251 (2000) 356-363.
T. H. O'Donnell, F. J. Narcowich, H.L. Southall, and J. D. Ward, ``Multiple source direction finding with reduced training and increased generalization,'' in proceedings of the Millenium Conference on Antennas and Propagation, 9 - 14 April 2000, Davos, Switzerland; ESA publication SP-444.
H. N. Mhaskar, F. J. Narcowich, and J. D. Ward, Approximation Properties of Zonal Function Networks Using Scattered Data on the Sphere, Adv. Comput. Math., 11 (1999) 121-137.
F. J. Narcowich, R. Schaback, and J. D. Ward, Multilevel Interpolation and Approximation, Appl. Comput. Harmonic Anal., 7 (1999) 243-261.
N. Dyn, F.J. Narcowich and J.D. Ward, Variational Principles and Sobolev-Type Estimates for Generalized Interpolation on a Riemannian Manifold, Constr. Approx., 15 (1999) 175-208.
F. J. Narcowich, N. Sivakumar, and J. D. Ward, Stability Results for Scattered-Data Interpolation on Euclidean Spheres, Adv. Comp. Math., 8 (1998) 137-163.
N. Dyn, F.J. Narcowich and J. D. Ward, A Framework for Interpolation and Approximation on a Riemannian Manifold, Approximation Theory and Optimization: Tributes to M. J. D. Powell ed. by M. D. Buhman and A. Iserles, Cambridge University Press, Cambridge, U. K., 1997.
F.J. Narcowich and J.D. Ward, Nonstationary wavelets on the m-sphere for scattered data Appl. Comput. Harmonic Anal., 3, (1996) 324-336.
F.J. Narcowich and J.D. Ward, Wavelets associated periodic basis functions, Appl. Comput. Harmonic Anal., 3, (1996) 40-56.
F. J. Narcowich and J. D. Ward, Nonstationary Spherical Wavelets for Scattered Data, in Approximation Theory VIII, vol. 2: Wavelets and Multilevel Approximation, pp. 301-308, Charles K. Chui and Larry L. Schumaker, eds., World Scientific, Singapore, 1995.
F. J. Narcowich, P. W. Smith, and J. D. Ward, Density of Translates of Radial Functions on Compact Sets, in Approximation Theory VIII, vol. 2: Wavelets and Multilevel Approximation, pp. 301-308, Charles K. Chui and Larry L. Schumaker, eds., World Scientific, Singapore, 1995.
A. J. Kurdila, F. J. Narcowich, and J. D. Ward, Persistency of Excitation in Identification Using Radial Basis Approximants," SIAM J. Control and Optimization, 33 (1995), 625-642.
F.J. Narcowich and J.D. Ward, Generalized Hermite Interpolation via Matrix-Valued Conditonally Positive Definite Functions, Math. Comp., 63 (1994), 661-688.
F. J. Narcowich, N. Sivakumar, and J. D. Ward, On Condition Numbers Associated With Radial-Function Interpolation. J. Math. Anal. Appl., 186 (1994), 457-485.
F. J. Narcowich, N. Sivakumar, and J. D. Ward, ``Estimates on Condition Numbers for Interpolation Matrices Associated with certain Order 0 Radial Functions,'' in Advances in Computer Methods for Partial Differential Equations VII, R. Vichnevetsky, D. Knight, and G. Richter (eds.), IMACS, New Jersey, 1992.
F.J. Narcowich and J.D. Ward, Norm Estimates for the Inverses of a General Class of Scattered-Data Radial-Function Interpolation Matrices, J. Approx. Theory, 69 (1992), 84-109.
F. J. Narcowich and J. D. Ward, Norms of Inverses for Matrices Associated with Scattered Data, pp. 341-348 in Curves and Surfaces, ed. by P.-J. Laurent, A. Le Mehaute, and L. L. Schumaker, Academic Press, Inc., San Diego, CA, 1991.
F. J. Narcowich and J. D. Ward, Norms of inverses and condition numbers for matrices associated with scattered data, J. Approx. Theory, 64 (1991), 69-94.
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