Analysis, geometry, number theory : the mathematics of Leon Ehrenpreis

Contributor(s): Ehrenpreis Leon | Grinberg EricMaterial type: Computer fileComputer fileSeries: Contemporary mathematics ; v. 251Publication details: Providence, R.I. : American Mathematical Society, c2000Description: 1 online resource (xi, 508 p. : ill.)ISBN: 9780821878415 (online)Subject(s): Geometry | Mathematical analysis | Number theoryOnline resources: Click here to access online
Contents:
On a problem of injectivity for the Radon transform on a paraboloid ; Antiselfdual symplectic forms and integral geometry ; Holomorphic extendibility of functions via nonlinear Fourier transforms ; Divisioninterpolation methods and Nullstellensatze ; Uniqueness and nonuniqueness for microanalytic continuation of ultradistributions ; A rational Landen transformation. The case of degree six ; A perturbation result for linear differential operators admitting a global right inverse on dic analytic spaces and the Mark Agranovsky ; J C Alvarez ; Tong Thanh Banh ; Carlos A Berenstein and Alain Yger ; Jan Boman ; George Boros and Victor H Moll ; Rudiger W Braun Reinhold Meise and B A Taylor ; S Catto J Huntley N Moh and D Tepper ; Fabrizio Colombo Irene Sabadini and Daniele C Struppa ; Wendell CulpRessler and Wladimir de Azevedo Pribitkin ; Andrea D'Agnolo ; John P D'Angelo ; Leon Ehrenpreis Peter Kuchment and Alex Panchenko ; Charles L Epstein and Gennadi M Henkin ; Hershel M Farkas and Irwin Kra ; Jacques Gasqui and Hubert Goldschmidt ; Daryl Geller ; Allan Greenleaf Andreas Seeger and Stephen Wainger ; Eric Grinberg and Isaac Pesenson ; Pavel Guerzhoy ; Robert C Gunning ; Jorge Hounie and Joaquim Tavares ; A Alexandrou Himonas and Gerard Misioek ; Xiaojun Huang Joel Merker and Francine Meylan ; Alexander Katsevich ; Marvin Isadore Knopp and Wladimir de Azevedo Pribitkin ; J J Kohn ; Makhlouf Derridj and David S Tartakoff ; Loredana Lanzani ; Abdelhamid Meziani ; A M Odlyzko and E M Rains ; Paul C Pasles ; Wladimir de Azevedo Pribitkin ; Nancy K Stanton ; Francois Treves ; Yiying Zhou and Eric Todd Quinto
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Includes bibliographical references.

On a problem of injectivity for the Radon transform on a paraboloid ; Antiselfdual symplectic forms and integral geometry ; Holomorphic extendibility of functions via nonlinear Fourier transforms ; Divisioninterpolation methods and Nullstellensatze ; Uniqueness and nonuniqueness for microanalytic continuation of ultradistributions ; A rational Landen transformation. The case of degree six ; A perturbation result for linear differential operators admitting a global right inverse on scr D' ; Weyl's law with error estimate ; Dirac equation in the octonionic algebra ; A note on Siegel's proof of Hamburger's theorem ; Sheaves and scr D odules in integral geometry ; Positivity conditions and squared norms of holomorphic polynomial mappings ; The exponential Xray transform and Fritz John's equation. I. Range description ; Two lemmas in local analytic geometry ; Partitions and theta constant identities ; The Radon transform and spectral rigidity of the Grassmannians ; Complex powers of convolution operators on the Heisenberg group ; Estimates for generalized Radon transforms in three and four dimensions ; Irregular sampling and the Radon transform ; Involution of Lambda dic analytic spaces and the _p perator for halfintegral weight modular forms ; Maximal sequences of compact Riemann surfaces ; On BMO singularities of solutions of analytic complex vector fields ; The initial value problem for a fifth order shallow water equation on the real line ; Mappings between degenerate real analytic hypersurfaces in bf C^n ; Analysis of artifacts in local tomography with nonsmooth attenuation ; The Hecke convergence factor and modular forms of weight zero ; Hypoellipticity at points of infinite type ; Semiglobal analytic regularity for overline \partial _b on CR submanifolds of bf C^2 ; Cauchy transform and Hardy spaces for rough planar domains ; On real analytic planar vector fields near the characteristic set ; On longest increasing subsequences in random permutations ; Convergence of Poincare series with two complex coweights ; Eisenstein series and Eichler integrals ; Real hypersurfaces with no infinitesimal CR automorphisms ; Extension of cohomology classes ; Tworadius support theorems for spherical Radon transforms on manifolds Mark Agranovsky ; J C Alvarez ; Tong Thanh Banh ; Carlos A Berenstein and Alain Yger ; Jan Boman ; George Boros and Victor H Moll ; Rudiger W Braun Reinhold Meise and B A Taylor ; S Catto J Huntley N Moh and D Tepper ; Fabrizio Colombo Irene Sabadini and Daniele C Struppa ; Wendell CulpRessler and Wladimir de Azevedo Pribitkin ; Andrea D'Agnolo ; John P D'Angelo ; Leon Ehrenpreis Peter Kuchment and Alex Panchenko ; Charles L Epstein and Gennadi M Henkin ; Hershel M Farkas and Irwin Kra ; Jacques Gasqui and Hubert Goldschmidt ; Daryl Geller ; Allan Greenleaf Andreas Seeger and Stephen Wainger ; Eric Grinberg and Isaac Pesenson ; Pavel Guerzhoy ; Robert C Gunning ; Jorge Hounie and Joaquim Tavares ; A Alexandrou Himonas and Gerard Misioek ; Xiaojun Huang Joel Merker and Francine Meylan ; Alexander Katsevich ; Marvin Isadore Knopp and Wladimir de Azevedo Pribitkin ; J J Kohn ; Makhlouf Derridj and David S Tartakoff ; Loredana Lanzani ; Abdelhamid Meziani ; A M Odlyzko and E M Rains ; Paul C Pasles ; Wladimir de Azevedo Pribitkin ; Nancy K Stanton ; Francois Treves ; Yiying Zhou and Eric Todd Quinto

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