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Softcover ISBN:  9780821811481 
Product Code:  CONM/251 
List Price:  $130.00 
MAA Member Price:  $117.00 
AMS Member Price:  $104.00 
eBook ISBN:  9780821878415 
Product Code:  CONM/251.E 
List Price:  $125.00 
MAA Member Price:  $112.50 
AMS Member Price:  $100.00 
Softcover ISBN:  9780821811481 
eBook ISBN:  9780821878415 
Product Code:  CONM/251.B 
List Price:  $255.00$192.50 
MAA Member Price:  $229.50$173.25 
AMS Member Price:  $204.00$154.00 

Book DetailsContemporary MathematicsVolume: 251; 2000; 508 ppMSC: Primary 00;
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.ReadershipGraduate students and research mathematicians; industrial and applied mathematicians.

Table of Contents

Articles

Mark Agranovsky  On a problem of injectivity for the Radon transform on a paraboloid [ MR 1771255 ]

J. C. Álvarez  Antiselfdual symplectic forms and integral geometry [ MR 1771256 ]

Tong Thanh Banh  Holomorphic extendibility of functions via nonlinear Fourier transforms [ MR 1771257 ]

Carlos A. Berenstein and Alain Yger  Divisioninterpolation methods and Nullstellensätze [ MR 1771258 ]

Jan Boman  Uniqueness and nonuniqueness for microanalytic continuation of ultradistributions [ MR 1771259 ]

George Boros and Victor H. Moll  A rational Landen transformation. The case of degree six [ MR 1771260 ]

Rüdiger W. Braun, Reinhold Meise and B. A. Taylor  A perturbation result for linear differential operators admitting a global right inverse on $\scr D’$ [ MR 1771261 ]

S. Catto, J. Huntley, N. Moh and D. Tepper  Weyl’s law with error estimate [ MR 1771262 ]

Fabrizio Colombo, Irene Sabadini and Daniele C. Struppa  Dirac equation in the octonionic algebra [ MR 1771263 ]

Wendell CulpRessler and Wladimir de Azevedo Pribitkin  A note on Siegel’s proof of Hamburger’s theorem [ MR 1771264 ]

Andrea D’Agnolo  Sheaves and $\scr D$modules in integral geometry [ MR 1771265 ]

John P. D’Angelo  Positivity conditions and squared norms of holomorphic polynomial mappings [ MR 1771266 ]

Leon Ehrenpreis, Peter Kuchment and Alex Panchenko  The exponential Xray transform and Fritz John’s equation. I. Range description [ MR 1771267 ]

Charles L. Epstein and Gennadi M. Henkin  Two lemmas in local analytic geometry [ MR 1771268 ]

Hershel M. Farkas and Irwin Kra  Partitions and theta constant identities [ MR 1771269 ]

Jacques Gasqui and Hubert Goldschmidt  The Radon transform and spectral rigidity of the Grassmannians [ MR 1771270 ]

Daryl Geller  Complex powers of convolution operators on the Heisenberg group [ MR 1771271 ]

Allan Greenleaf, Andreas Seeger and Stephen Wainger  Estimates for generalized Radon transforms in three and four dimensions [ MR 1771272 ]

Eric Grinberg and Isaac Pesenson  Irregular sampling and the Radon transform [ MR 1771273 ]

Pavel Guerzhoy  Involution of $\Lambda $adic analytic spaces and the $U_p$operator for halfintegral weight modular forms [ MR 1771274 ]

Robert C. Gunning  Maximal sequences of compact Riemann surfaces [ MR 1771275 ]

Jorge Hounie and Joaquim Tavares  On BMO singularities of solutions of analytic complex vector fields [ MR 1771276 ]

A. Alexandrou Himonas and Gerard Misiołek  The initial value problem for a fifth order shallow water equation on the real line [ MR 1771277 ]

Xiaojun Huang, Joel Merker and Francine Meylan  Mappings between degenerate real analytic hypersurfaces in ${\bf C}^n$ [ MR 1771278 ]

Alexander Katsevich  Analysis of artifacts in local tomography with nonsmooth attenuation [ MR 1771279 ]

Marvin Isadore Knopp and Wladimir de Azevedo Pribitkin  The Hecke convergence factor and modular forms of weight zero [ MR 1771280 ]

J. J. Kohn  Hypoellipticity at points of infinite type [ MR 1771281 ]

Makhlouf Derridj and David S. Tartakoff  Semiglobal analytic regularity for $\overline \partial _b$ on CR submanifolds of ${\bf C}^2$ [ MR 1771282 ]

Loredana Lanzani  Cauchy transform and Hardy spaces for rough planar domains [ MR 1771283 ]

Abdelhamid Meziani  On real analytic planar vector fields near the characteristic set [ MR 1771284 ]

A. M. Odlyzko and E. M. Rains  On longest increasing subsequences in random permutations [ MR 1771285 ]

Paul C. Pasles  Convergence of Poincaré series with two complex coweights [ MR 1771286 ]

Wladimir de Azevedo Pribitkin  Eisenstein series and Eichler integrals [ MR 1771287 ]

Nancy K. Stanton  Real hypersurfaces with no infinitesimal CR automorphisms [ MR 1771288 ]

François Treves  Extension of cohomology classes [ MR 1771289 ]

Yiying Zhou and Eric Todd Quinto  Tworadius support theorems for spherical Radon transforms on manifolds [ MR 1771290 ]


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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.
Graduate students and research mathematicians; industrial and applied mathematicians.

Articles

Mark Agranovsky  On a problem of injectivity for the Radon transform on a paraboloid [ MR 1771255 ]

J. C. Álvarez  Antiselfdual symplectic forms and integral geometry [ MR 1771256 ]

Tong Thanh Banh  Holomorphic extendibility of functions via nonlinear Fourier transforms [ MR 1771257 ]

Carlos A. Berenstein and Alain Yger  Divisioninterpolation methods and Nullstellensätze [ MR 1771258 ]

Jan Boman  Uniqueness and nonuniqueness for microanalytic continuation of ultradistributions [ MR 1771259 ]

George Boros and Victor H. Moll  A rational Landen transformation. The case of degree six [ MR 1771260 ]

Rüdiger W. Braun, Reinhold Meise and B. A. Taylor  A perturbation result for linear differential operators admitting a global right inverse on $\scr D’$ [ MR 1771261 ]

S. Catto, J. Huntley, N. Moh and D. Tepper  Weyl’s law with error estimate [ MR 1771262 ]

Fabrizio Colombo, Irene Sabadini and Daniele C. Struppa  Dirac equation in the octonionic algebra [ MR 1771263 ]

Wendell CulpRessler and Wladimir de Azevedo Pribitkin  A note on Siegel’s proof of Hamburger’s theorem [ MR 1771264 ]

Andrea D’Agnolo  Sheaves and $\scr D$modules in integral geometry [ MR 1771265 ]

John P. D’Angelo  Positivity conditions and squared norms of holomorphic polynomial mappings [ MR 1771266 ]

Leon Ehrenpreis, Peter Kuchment and Alex Panchenko  The exponential Xray transform and Fritz John’s equation. I. Range description [ MR 1771267 ]

Charles L. Epstein and Gennadi M. Henkin  Two lemmas in local analytic geometry [ MR 1771268 ]

Hershel M. Farkas and Irwin Kra  Partitions and theta constant identities [ MR 1771269 ]

Jacques Gasqui and Hubert Goldschmidt  The Radon transform and spectral rigidity of the Grassmannians [ MR 1771270 ]

Daryl Geller  Complex powers of convolution operators on the Heisenberg group [ MR 1771271 ]

Allan Greenleaf, Andreas Seeger and Stephen Wainger  Estimates for generalized Radon transforms in three and four dimensions [ MR 1771272 ]

Eric Grinberg and Isaac Pesenson  Irregular sampling and the Radon transform [ MR 1771273 ]

Pavel Guerzhoy  Involution of $\Lambda $adic analytic spaces and the $U_p$operator for halfintegral weight modular forms [ MR 1771274 ]

Robert C. Gunning  Maximal sequences of compact Riemann surfaces [ MR 1771275 ]

Jorge Hounie and Joaquim Tavares  On BMO singularities of solutions of analytic complex vector fields [ MR 1771276 ]

A. Alexandrou Himonas and Gerard Misiołek  The initial value problem for a fifth order shallow water equation on the real line [ MR 1771277 ]

Xiaojun Huang, Joel Merker and Francine Meylan  Mappings between degenerate real analytic hypersurfaces in ${\bf C}^n$ [ MR 1771278 ]

Alexander Katsevich  Analysis of artifacts in local tomography with nonsmooth attenuation [ MR 1771279 ]

Marvin Isadore Knopp and Wladimir de Azevedo Pribitkin  The Hecke convergence factor and modular forms of weight zero [ MR 1771280 ]

J. J. Kohn  Hypoellipticity at points of infinite type [ MR 1771281 ]

Makhlouf Derridj and David S. Tartakoff  Semiglobal analytic regularity for $\overline \partial _b$ on CR submanifolds of ${\bf C}^2$ [ MR 1771282 ]

Loredana Lanzani  Cauchy transform and Hardy spaces for rough planar domains [ MR 1771283 ]

Abdelhamid Meziani  On real analytic planar vector fields near the characteristic set [ MR 1771284 ]

A. M. Odlyzko and E. M. Rains  On longest increasing subsequences in random permutations [ MR 1771285 ]

Paul C. Pasles  Convergence of Poincaré series with two complex coweights [ MR 1771286 ]

Wladimir de Azevedo Pribitkin  Eisenstein series and Eichler integrals [ MR 1771287 ]

Nancy K. Stanton  Real hypersurfaces with no infinitesimal CR automorphisms [ MR 1771288 ]

François Treves  Extension of cohomology classes [ MR 1771289 ]

Yiying Zhou and Eric Todd Quinto  Tworadius support theorems for spherical Radon transforms on manifolds [ MR 1771290 ]