Harold P. Boas
Curriculum Vitae

March 6, 2009

Address

Education

Regular positions held

Visiting positions held

Awards

Society memberships

Selected service activities

PhD students

Grants

Research papers

  1. Harold P. Boas and Eduardo Friedman, A simplification in certain contour integrals, American Mathematical Monthly 84 (1977), 467-468.
  2. Harold P. Boas, A geometric characterization of the ball and the Bochner-Martinelli kernel, Mathematische Annalen 248 (1980), 275-278.
  3. Harold P. Boas and Steven R. Bell, Regularity of the Bergman projection in weakly pseudoconvex domains, Mathematische Annalen 257 (1981), 23-30.
  4. Harold P. Boas, Spheres and cylinders: a local geometric characterization, Illinois Journal of Mathematics 28 (1984), 120-124.
  5. Harold P. Boas, Holomorphic reproducing kernels in Reinhardt domains, Pacific Journal of Mathematics 112 (1984), 273-292.
  6. Harold P. Boas and Steven R. Bell, Regularity of the Bergman projection and duality of holomorphic function spaces, Mathematische Annalen 267 (1984), 473-478.
  7. Harold P. Boas, Regularity of the Szegö projection in weakly pseudoconvex domains, Indiana University Mathematics Journal 34 (1985), 217-223.
  8. Harold P. Boas, Sobolev space projections in strictly pseudoconvex domains, Transactions of the American Mathematical Society 288 (1985), 227-240.
  9. Harold P. Boas and Mei-Chi Shaw, Sobolev estimates for the Lewy operator on weakly pseudo-convex boundaries, Mathematische Annalen 274 (1986), 221-231.
  10. Harold P. Boas, Counterexample to the Lu Qi-Keng conjecture, Proceedings of the American Mathematical Society 97 (1986), 374-375.
  11. Harold P. Boas, Extension of Kerzman's theorem on differentiability of the Bergman kernel function, Indiana University Mathematics Journal 36 (1987), 495-499.
  12. Harold P. Boas, The Szegö projection: Sobolev estimates in regular domains, Transactions of the American Mathematical Society 300 (1987), 109-132.
  13. Harold P. Boas and Ralph P. Boas, Short proofs of three theorems on harmonic functions, Proceedings of the American Mathematical Society 102 (1988), 906-908.
  14. Harold P. Boas and Emil J. Straube, Integral inequalities of Hardy and Poincaré type, Proceedings of the American Mathematical Society 103 (1988), 172-176.
  15. Harold P. Boas, Small sets of infinite type are benign for the d-bar-Neumann problem, Proceedings of the American Mathematical Society 103 (1988), 569-578.
  16. Harold P. Boas, So-Chin Chen, and Emil J. Straube, Exact regularity of the Bergman and Szegö projections on domains with partially transverse symmetries, Manuscripta Mathematica 62 (1988), 467-475.
  17. Harold P. Boas and Emil J. Straube, Complete Hartogs domains in C2 have regular Bergman and Szegö projections, Mathematische Zeitschrift 201 (1989), 441-454.
  18. Harold P. Boas and Emil J. Straube, Equivalence of regularity for the Bergman projection and the d-bar-Neumann operator, Manuscripta Mathematica 67 (1990), 25-33.
  19. Harold P. Boas and Emil J. Straube, Sobolev estimates for the d-bar-Neumann operator on domains in Cn admitting a defining function that is plurisubharmonic on the boundary, Mathematische Zeitschrift 206 (1991), 81-88.
  20. Harold P. Boas and Emil J. Straube, Sobolev estimates for the complex Green operator on a class of weakly pseudoconvex boundaries, Communications in Partial Differential Equations 16 (1991), 1573-1582.
  21. Harold P. Boas and Emil J. Straube, On equality of line type and variety type of real hypersurfaces in Cn, Journal of Geometric Analysis 2 (1992), no. 2, 95-98.
  22. Harold P. Boas and Emil J. Straube, The Bergman projection on Hartogs domains in C2, Transactions of the American Mathematical Society 331 (1992), no. 2, 529-540.
  23. Harold P. Boas and Emil J. Straube, De Rham cohomology of manifolds containing the points of infinite type, and Sobolev estimates for the d-bar-Neumann problem, Journal of Geometric Analysis 3 (1993), no. 3, 225-235.
  24. Harold P. Boas, Emil J. Straube, and Jiye Yu, Boundary limits of the Bergman kernel and metric, Michigan Mathematical Journal 42 (1995), no. 3, 449-461.
  25. Harold P. Boas, The Lu Qi-Keng conjecture fails generically, Proceedings of the American Mathematical Society 124 (1996), 2021-2027.
  26. Harold P. Boas and Dmitry Khavinson, Bohr's power series theorem in several variables, Proceedings of the American Mathematical Society 125 (1997), number 10, 2975-2979.
  27. Harold P. Boas, The football player and the infinite series, Notices of the American Mathematical Society 44 (1997), number 11, 1430-1435.
  28. Harold P. Boas, Siqi Fu, and Emil J. Straube, The Bergman kernel function: explicit formulas and zeroes, Proceedings of the American Mathematical Society 127 (1999), 805-811.
  29. Harold P. Boas and Emil J. Straube, Global regularity of the d-bar-Neumann problem: a survey of the L2-Sobolev theory, Several Complex Variables, edited by Michael Schneider and Yum-Tong Siu, MSRI Publications 37 (1999), 79-111, Cambridge University Press.
  30. Harold P. Boas and Dmitry Khavinson, Vita: Friedrich Wilhelm Wiener, Mathematical Intelligencer 22 (2000), no. 2, 73-75.
  31. Harold P. Boas, Lu Qi-Keng's problem, Journal of the Korean Mathematical Society 37 (2000), no. 2, 253-267.
  32. Harold P. Boas, Majorant series, Journal of the Korean Mathematical Society 37 (2000), no. 2, 321-337.
  33. Harold P. Boas, Reflections on the arbelos, American Mathematical Monthly 113 (2006), 236-249.

Books

  1. A. M. Kytmanov, The Bochner-Martinelli Integral and Its Applications, translated from the Russian by Harold P. Boas, Birkhäuser, Basel, 1995.
  2. Ralph P. Boas, A Primer of Real Functions, fourth edition, revised and updated by Harold P. Boas, Mathematical Association of America, 1996.

Book reviews

  1. Power Series from a Computational Point of View, by Kennan T. Smith, The UMAP Journal 10 (1989), no. 3, 279-281.
  2. Mathematics: From the Birth of Numbers, by Jan Gullberg, The American Mathematical Monthly 106 (1999), no. 1, 82-85.
  3. Graphica 1. The Imaginary Made Real: The Images of Michael Trott. Graphica 2. The Pattern of Beauty: The Art of Igor Bakshee. The American Mathematical Monthly 107 (2000), no. 3, 286-291.
  4. Postmodern Analysis, third edition, by Jürgen Jost, SIAM Review 48 (2006), no. 4, 794-796.

Miscellaneous writings

  1. Advanced calculus crossword puzzle (and solution), The American Mathematical Monthly 107 (2000), 892, 900.
  2. Integrating computer technology into the university mathematics curriculum, Bulletin of the Bombay Mathematical Colloquium 14, number 3, August 1998 (date of actual publication, August 2000), 10-15.
  3. Multiple missions, Notices of the American Mathematical Society 48 (2001), 5.
  4. Archimedes and the Internet, Notices of the American Mathematical Society 48 (2001), 789.
  5. Jacques-Louis Lions et les mathématiciens italiens, Enrico Magenes, English translation by Harold P. Boas, in "Jacques-Louis Lions (1928-2001)", Notices of the American Mathematical Society 48 (2001), 1320-1321.
  6. The amateur professor, Notices of the American Mathematical Society 49 (2002), 1053.
  7. Primes Is in P: A Breakthrough for "Everyman", Folkmar Bornemann, English translation by Harold P. Boas, Notices of the American Mathematical Society 50 (2003), 545-552.
  8. What Is a Worm?, Notices of the American Mathematical Society 50 (2003), 554-555.
  9. What's the Big Idea?, Notices of the American Mathematical Society 50 (2003), 637; translated into German by Günter M. Ziegler as "Was soll das bedeuten?", DMV-Mitteilungen 2/2003, 20-21.
  10. Does Your Vote Matter (in AMS Elections)?, Notices of the American Mathematical Society 50 (2003), 877.
  11. All Write Now, Notices of the American Mathematical Society 50 (2003), 1373.
  12. "Ill Logical" crossword puzzle (and solution), The American Mathematical Monthly 111 (2004), 229, 258.

Letters

  1. Science 206 (1979), 1022.
  2. Science 224 (1984), 446.
  3. The Christian Science Monitor, Tuesday, 22 October 1991, page 20.
  4. Technology Review 97 (1994), no. 2, 9.
  5. Mathematical Spectrum 26 (1993/4), no. 4, 122.
  6. Mathematics Magazine 71 (1998), no. 3, 224.
  7. The Chronicle of Higher Education, volume XLVIII, number 27, March 15, 2002, page B4.
  8. Notices of the American Mathematical Society 55 (2008), no. 7, 774.

Research articles translated from the Russian

  1. M. M. Lavrent'ev and B. Imomnazarov, Strongly positive operators, Soviet Math. Dokl. 19 (1978), 14-17.
  2. V. S. Vladimirov, Holomorphic functions with nonnegative imaginary part in tube domains over cones, Soviet Math. Dokl. 19 (1978), 254-258.
  3. S. I. Pinchuk, Proper holomorphic mappings of strictly pseudoconvex domains, Soviet Math. Dokl. 19 (1978), 804-807.
  4. Sh. Yarmukhamedov, The Martinelli-Bochner formula and the Phragmén-Lindelöf principle, Soviet Math. Dokl. 19 (1978), 1592-1595.
  5. S. I. Pinchuk, On holomorphic mappings of real analytic hypersurfaces, Math. USSR Sbornik 34 (1978), 503-519.
  6. V. K. Beloshapka, Functions pluriharmonic on a manifold, Math. USSR Izvestiya 12 (1978), 439-446.
  7. S. I. Pinchuk, Biholomorphic inequivalence of bounded domains with smooth and piecewise smooth boundaries, Soviet Math. Dokl. 20 (1979), 762-765.
  8. B. L. Fridman, On the imbedding of a strictly pseudoconvex domain in a polyhedron, Soviet Math. Dokl. 20 (1979), 1228-1232.
  9. G. A. Magomedov and V. P. Palamodov, Generalized analytic functions of several variables, Math. USSR Sbornik 35 (1979), 181-205.
  10. F. A. Shamoyan, Embedding theorems and a characterization of traces in the spaces Hp(Un), 0 < p <infty, Math. USSR Sbornik 35 (1979), 709-725.
  11. A. Sadullaev, Locally and globally P-regular compacta in Cn, Soviet Math. Dokl. 21 (1980), 328-330.
  12. A. Sadullaev, The operator (ddc u)n and the capacity of condensers, Soviet Math. Dokl. 21 (1980), 387-391.
  13. A. N. Varchenko, The asymptotics of holomorphic forms determine a mixed Hodge structure, Soviet Math. Dokl. 22 (1980), 772-775.
  14. V. K. Beloshapka, On the dimension of the group of automorphisms of an analytic hypersurface, Math. USSR Izvestiya 14 (1980), 223-245.
  15. E. M. Dynkin, Pseudoanalytic extension of smooth functions. The uniform scale, Amer. Math. Soc. Transl. 115 (1980), 33-58.
  16. A. E. Tumanov and G. M. Khenkin, Interpolation submanifolds of pseudoconvex manifolds, Amer. Math. Soc. Transl. 115 (1980), 59-69.
  17. B. Ya. Kazarnovskii, On the zeroes of exponential sums, Soviet Math. Dokl. 23 (1981), 347-351.
  18. G. M. Khenkin, Representation of solutions of the phi4 equation in the form of holomorphic vector bundles over twistor space, Soviet Math. Dokl. 24 (1981), 415-419.
  19. Yu. B. Zelinskii, On geometric criteria for strong linear convexity, Soviet Math. Dokl. 24 (1981), 449-451.
  20. S. I. Pinchuk, Holomorphic inequivalence of some classes of domains in Cn, Math. USSR Sbornik 39 (1981), 61-86.
  21. I. V. Savel'ev, On the topology of a complex-analytic normalization, Math. USSR Sbornik 40 (1981), 267-276.
  22. V. V. Shokurov, The study of the homology of Kuga varieties, Math. USSR Izvestiya 16 (1981), 399-418.
  23. B. I. Zavyalov and Yu. N. Drozhzhinov, On a multi-dimensional analogue of a theorem of Lindelöf, Soviet Math. Dokl. 25 (1982), 51-52.
  24. V. I. Gavrilov and P. V. Dovbush, Boundary singularities generated by cluster sets of functions of several complex variables, Soviet Math. Dokl. 26 (1982), 186-189.
  25. P. V. Degtyar', Some questions in the value distribution theory of holomorphic mappings, and complex variations, Math. USSR Sbornik 43 (1982), 275-285.
  26. M. Shirinbekov, On Hartogs compacts of holomorphy, Math. USSR Sbornik 43 (1982), 403-411.
  27. S. M. Ivashkovich, Envelopes of holomorphy of some tube sets in C2 and the monodromy theorem, Math. USSR Izvestiya 19 (1982), 189-196.
  28. V. P. Palamodov, Cohomology of analytic algebras, Trans. Moscow Math. Soc. (1983), no. 2, 1-61.
  29. S. E. Sharonov, On holomorphic mappings of polyhedra, Math. USSR Sbornik 44 (1983), 117-123.
  30. A. G. Vitushkin, Global normalization of a real-analytic surface along a chain, Soviet Math. Dokl. 27 (1983), 270-273.
  31. P. M. Tamrazov, Contour-solid properties of holomorphic functions and mappings with bilogarithmically concave majorants, Soviet Math. Dokl. 27 (1983), 676-680.
  32. A. G. Vitushkin, Holomorphic extension of mappings of compact hypersurfaces, Math. USSR Izvestiya 20 (1983), 27-33.
  33. A. V. Loboda, Linearizability of automorphisms of non-spherical surfaces, Math. USSR Izvestiya 21 (1983), 171-186.
  34. N. V. Shcherbina, On fibering into analytic curves of the common boundary of two domains of holomorphy, Math. USSR Izvestiya 21 (1983), 399-413.
  35. N. A. Shirokov, The Jackson-Bernstein theorem in strictly convex domains in Cn, Soviet Math. Dokl. 29 (1984), 659-661.
  36. S. M. Ivashkovich, Extension of locally biholomorphic mappings of domains into complex projective space, Math. USSR Izvestiya 22 (1984), 181-189.
  37. V. V. Ezhov, Asymptotics of the behavior of a strictly pseudoconvex surface along its chains, Math. USSR Izvestiya 23 (1984), 149-170.
  38. V. P. Palamodov, The complex of holomorphic waves, Amer. Math. Soc. Transl. 122 (1984), 187-222.
  39. V. N. Temlyakov, On relations between best approximations of functions analytic in the bidisk, Proc. Steklov Inst. Math. (1985), no. 2, 217-224.
  40. A. K. Tsikh, Local residues in Cn. Algebraic applications, Math. USSR Sbornik 51 (1985), 225-237.
  41. S. V. Shvedenko, On the Taylor coefficients of functions from Bergman spaces in the polydisc, Soviet Math. Dokl. 32 (1985), 118-121.
  42. V. I. Gavrilov, Boundary singularities generated by cluster sets of holomorphic mappings, Soviet Math. Dokl. 32 (1985), 579-582.
  43. S. I. Pinchuk, The edge-of-the-wedge theorem for analytic sets, Soviet Math. Dokl. 32 (1985), 745-747.
  44. M. V. Kazaryan, Meromorphic extension with respect to groups of variables, Math. USSR Sbornik 53 (1986), 385-398.
  45. N. G. Kruzhilin, Local automorphisms and mappings of smooth strictly pseudoconvex hypersurfaces, Math. USSR Izvestiya 26 (1986), 531-552.
  46. M. G. Zaidenberg, On hyperbolic embedding of complements of divisors and the limiting behavior of the Kobayashi-Royden metric, Math. USSR Sbornik 55 (1986), 55-70.
  47. M. Shirinbekov, On solidity of pseudoconvex domains, Soviet Math. Dokl. 33 (1986), 388-391.
  48. N. N. Tarkhanov, On Alexander duality for elliptic complexes, Math. USSR Sbornik 58 (1987), 59-82.
  49. S. M. Ivashkovich, The Hartogs phenomenon for holomorphically convex Kähler manifolds, Math. USSR Izvestiya 29 (1987), 225-232.
  50. I. M. Gel'fand and A. B. Goncharov, On a characterization of Grassmann manifolds, Soviet Math. Dokl. 34 (1987), 189-193.
  51. I. I. Bavrin and O. È. Yaremko, Integral representations in Temlyakov-Weil domains, Soviet Math. Dokl. 34 (1987), 215-218.
  52. S. T. Norvidas, On stability of differential operators in spaces of entire functions, Soviet Math. Dokl. 34 (1987), 521-524.
  53. A. G. Sergeev, Complex geometry and integral representations in the future tube, Math. USSR Izvestiya 29 (1987), 597-628.
  54. V. V. Morzhakov, On epimorphicity of a convolution operator in convex domains in Cl, Math. USSR Sbornik 60 (1988), 347-364.
  55. N. V. Ivanov, Projective structures, flat bundles and Kähler metrics on moduli spaces, Math. USSR Sbornik 61 (1988), no. 1, 211-224.
  56. P. L. Polyakov, Zeros of holomorphic functions of finite order in the polydisc, Math. USSR Sbornik 61 (1988), 103-112.
  57. L. A. Aizenberg and N. N. Tarkhanov, An abstract Carleman formula, Soviet Math. Dokl. 37 (1988), 235-238.
  58. A. G. Vitushkin, Uniform approximation of functions by holomorphic functions, Proc. Steklov Inst. Math. (Mathematical Physics and Complex Analysis) (1988), no. 3, 301-308.
  59. S. I. Pinchuk and E. M. Chirka, On the reflection principle for analytic sets, Math. USSR Izvestiya 32 (1989), no. 1, 205-216.
  60. S. I. Pinchuk and S. V. Khasanov, Asymptotically holomorphic functions and their applications, Math. USSR Sbornik 62 (1989), no. 2, 541-550.
  61. A. B. Sekerin, On sufficient sets in spaces of entire functions of several variables, Math. USSR Sbornik 64 (1989), no. 1, 263-276.
  62. S. M. Ivashkovich, An extension theorem of Thullen type for line bundles with L2-bounded curvature, Soviet Math. Dokl. 38 (1989), no. 3, 516-518.
  63. L. A. Aizenberg, Multidimensional analogues of Carleman's formula with integration over boundary sets of maximal dimension, Amer. Math. Soc. Transl. 146 (1990), 1-8.
  64. P. G. Zograf and L. A. Takhtadzhyan, On the geometry of moduli spaces of vector bundles over a Riemann surface, Math. USSR Izvestiya 35 (1990), no. 1, 83-100.
  65. M. V. Korovina, Cauchy problems for overdetermined systems of linear differential equations, Soviet Math. Dokl. 40 (1990), no. 3, 469-471.
  66. N. V. Ivanov, Attaching corners to Teichmüller space, Leningrad Math. J. 1 (1990), no. 5, 1177-1205.
  67. A. M. Kytmanov, On the d-bar-Neumann problem for smooth functions and distributions, Math. USSR Sbornik 70 (1991), no. 1, 79-92.
  68. A. E. Tumanov, Extension of CR-functions into a wedge, Math. USSR Sbornik 70 (1991), no. 2, 385-398.
  69. V. N. Temlyakov, On universal cubature formulas, Soviet Math. Dokl. 43 (1991), no. 1, 39-42.
  70. A. E. Eremenko and M. L. Sodin, On the distribution of values of meromorphic functions of finite order, Soviet Math. Dokl. 43 (1991), no. 1, 128-131.
  71. P. L. Polyakov and G. M. Khenkin, Integral formulas for the solution of the d-bar-equation and an interpolation problem in analytic polyhedra, Trans. Moscow Math. Soc. (1991), 135-175.
  72. N. V. Shcherbina, On the polynomial hull of a two-dimensional sphere in C2, Soviet Math. Dokl. 43 (1991), no. 2, 628-632.
  73. Yu. A. Peshkichev, Moduli of families of two-dimensional surfaces, and quasiconformal mappings in four-dimensional space, Soviet Math. Dokl. 43 (1991), no. 3, 730-731.
  74. A. G. Sergeev and P. Heinzner, The extended matrix disk is a domain of holomorphy, Math. USSR Izv. 38 (1992), no. 3, 637-645.
  75. O. V. Epifanov, Duality of a pair of spaces of analytic functions of bounded growth, Soviet Math. Dokl. 44 (1992), no. 1, 314-317.
  76. S. M. Ivashkovich, Theorems of Hartogs type for meromorphic mappings, spherical shells, and the complex Plateau problem, Soviet Math. Dokl. 44 (1992), no. 3, 816-819.
  77. A. S. Krivosheev, On the uniqueness of supports of analytic functionals, Math. USSR Izv. 39 (1992), no. 3, 1129-1149.
  78. V. V. Napalkov and I. Kh. Musin, A description of analytic functionals in certain classes of domains, Russian Acad. Sci. Dokl. Math. 45 (1992), no. 2, 375-378.
  79. A. B. Sukhov, On algebraicity of complex analytic sets, Math. USSR Sb. 74 (1993), no. 2, 419-426.
  80. A. B. Sekerin, On the representation of analytic functions of several variables by exponential series, Russian Acad. Sci. Izv. Math. 40 (1993), no. 3, 503-527.
  81. M. Passare and A. Tsikh, On connections between the local structure of holomorphic mappings, multidimensional residues, and generalized Mellin transforms, Russian Acad. Sci. Dokl. Math. 46 (1993), no. 1, 88-91.
  82. L. A. Aizenberg, Carleman formulas with a holomorphic kernel and with integration over boundary sets of maximal dimension, Russian Acad. Sci. Dokl. Math. 46 (1993), no. 1, 153-156.
  83. S. V. Znamenskii and Yu. B. Zelinskii, When is the intersection of supports of an analytic functional a support?, Russian Acad. Sci. Dokl. Math. 47 (1993), no. 1, 13-16.
  84. S. G. Merzlyakov, Runge's theorem for invariant spaces of analytic maps, Izvestiya: Mathematics 59 (1995), no. 2, 387-400.

Last modified March 6, 2009 by Harold P. Boas.

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