Contemporary Mathematics 2000; 508 pp; softcover Volume: 251 ISBN10: 0821811487 ISBN13: 9780821811481 List Price: US$110 Member Price: US$88 Order Code: CONM/251
 This book presents the proceedings from a conference at Temple University celebrating the work of Leon Ehrenpreis, distinguished by its insistence upon getting to the heart of the mathematics and by its astonishing consistency in doing so successfully. Professor Ehrenpreis has worked in many areas of mathematics and has found connections among all of them. For example, we can find his analysis ideas in the context of number theory, geometric thinking within analysis, transcendental number theory tied to partial differential equations. The conference brought together the communities of mathematicians working in the areas of interest to Professor Ehrenpreis and allowed them to share the research inspired by his work. The collection of articles presents current research on PDE's, several complex variables, analytic number theory, integral geometry and tomography. The thinking of Professor Ehrenpreis has contributed fundamental concepts and techniques in these areas and has motivated a wealth of research results. This volume offers a survey of the fundamental principles that unified the conference and influenced the mathematics of Leon Ehrenpreis. Readership Graduate students and research mathematicians; industrial and applied mathematicians. Table of Contents  M. Agranovsky  On a problem of injectivity for the Radon transform on a paraboloid
 J. C. Álvarez  Antiselfdual symplectic forms and integral geometry
 T. T. Banh  Holomorphic extendibility of functions via nonlinear Fourier transforms
 C. A. Berenstein and A. Yger  Divisioninterpolation methods and Nullstellensätze
 J. Boman  Uniqueness and nonuniqueness for microanalytic continuation of ultradistributions
 G. Boros and V. H. Moll  A rational Landen transformation. The case of degree six
 R. W. Braun, R. Meise, and B. A. Taylor  A perturbation result for linear differential operators admitting a global right inverse on \(\mathcal{D}^\prime\)
 S. Catto, J. Huntley, N. Moh, and D. Tepper  Weyl's law with error estimate
 F. Colombo, I. Sabadini, and D. C. Struppa  Dirac equation in the octonionic algebra
 W. CulpRessler and W. d. A. Pribitkin  A note on Siegel's proof of Hamburger's theorem
 A. D'Agnolo  Sheaves and \(\mathcal{D}\)modules in integral geometry
 J. P. D'Angelo  Positivity conditions and squared norms of holomorphic polynomial mappings
 L. Ehrenpreis, P. Kuchment, and A. Panchenko  The exponential xray transform and Fritz John's equation. I. Range description
 C. L. Epstein and G. M. Henkin  Two lemmas in local analytic geometry
 H. M. Farkas and I. Kra  Partitions and theta constant identities
 J. Gasqui and H. Goldschmidt  The Radon transform and spectral rigidity of the Grassmannians
 D. Geller  Complex powers of convolution operators on the Heisenberg group
 A. Greenleaf, A. Seeger, and S. Wainger  Estimates for generalized Radon transforms in three and four dimensions
 E. Grinberg and I. Pesenson  Irregular sampling and the Radon transform
 P. Guerzhoy  Involution of \(\Lambda\)adic analytic spaces and the \(U_p\)operator for halfintegral weight modular forms
 R. C. Gunning  Maximal sequences of compact Riemann surfaces
 J. Hounie and J. Tavares  On BMO singularities of solutions of analytic complex vector fields
 A. A. Himonas and G. Misiołek  The initial value problem for a fifth order shallow water equation on the real line
 X. Huang, J. Merker, and F. Meylan  Mappings between degenerate real analytic hypersurfaces in \(C^n\)
 A. Katsevich  Analysis of artifacts in local tomography with nonsmooth attenuation
 M. I. Knopp and W. d. A. Pribitkin  The Hecke convergence factor and modular forms of weight zero
 J. J. Kohn  Hypoellipticity at points of infinite type
 M. Derridj and D. S. Tartakoff  Semiglobal analytic regularity for \({{\overline{\partial}}_b}\) on CR submanifolds of \(\mathbb{C}^2\)
 L. Lanzani  Cauchy transform and Hardy spaces for rough planar domains
 A. Meziani  On real analytic planar vector fields near the character set
 A. M. Odlyzko and E. M. Rains  On longest increasing subsequences in random permutations
 P. C. Pasles  Convergence of Poincaré series with two complex coweights
 W. d. A. Pribitkin  Eisenstein series and Eichler integrals
 N. K. Stanton  Real hypersurfaces with no infinitesimal CR automorphisms
 F. Treves  Extension of cohomology classes
 Y. Zhou and E. T. Quinto  Tworadius support theorems for spherical Radon transforms on manifolds
