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Analysis, geometry, number theory : [electronic resource] the mathematics of Leon Ehrenpreis / E.L. Grinberg ... [et al.], editors.

Contributor(s): Ehrenpreis, Leon | Grinberg, Eric, 1958-Material type: Text

TextSeries: Contemporary mathematics (American Mathematical Society) ; v. 251.Publication details: Providence, R.I. : American Mathematical Society, c2000Description: 1 online resource (xi, 508 p. : ill.)ISBN: 9780821878415 (online)Subject(s): Mathematical analysis -- Congresses | Geometry -- Congresses | Number theory -- CongressesAdditional physical formats: Analysis, geometry, number theory :DDC classification: 515 LOC classification: QA299.6 | .A57 2000Online resources: Contents | Contents

Contents:

On a problem of injectivity for the Radon transform on a paraboloid / Mark Agranovsky -- http://www.ams.org/conm/251/ http://dx.doi.org/10.1090/conm/251/03856 Anti-self-dual symplectic forms and integral geometry / J. C. �Alvarez -- http://www.ams.org/conm/251/ http://dx.doi.org/10.1090/conm/251/03857 Holomorphic extendibility of functions via nonlinear Fourier transforms / Tong Thanh Banh -- http://www.ams.org/conm/251/ http://dx.doi.org/10.1090/conm/251/03858 Division-interpolation methods and Nullstellens�atze / Carlos A. Berenstein and Alain Yger -- http://www.ams.org/conm/251/ http://dx.doi.org/10.1090/conm/251/03859 Uniqueness and non-uniqueness for microanalytic continuation of ultradistributions / Jan Boman -- http://www.ams.org/conm/251/ http://dx.doi.org/10.1090/conm/251/03860 A rational Landen transformation. The case of degree six / George Boros and Victor H. Moll -- http://www.ams.org/conm/251/ http://dx.doi.org/10.1090/conm/251/03861 A perturbation result for linear differential operators admitting a global right inverse on $\scr D'$ / R�udiger W. Braun, Reinhold Meise and B. A. Taylor -- http://www.ams.org/conm/251/ http://dx.doi.org/10.1090/conm/251/03862 Weyl's law with error estimate / S. Catto, J. Huntley, N. Moh and D. Tepper -- http://www.ams.org/conm/251/ http://dx.doi.org/10.1090/conm/251/03863 Dirac equation in the octonionic algebra / Fabrizio Colombo, Irene Sabadini and Daniele C. Struppa -- http://www.ams.org/conm/251/ http://dx.doi.org/10.1090/conm/251/03864 A note on Siegel's proof of Hamburger's theorem / Wendell Culp-Ressler and Wladimir de Azevedo Pribitkin -- http://www.ams.org/conm/251/ http://dx.doi.org/10.1090/conm/251/03865 Sheaves and $\scr D$-modules in integral geometry / Andrea D'Agnolo -- http://www.ams.org/conm/251/ http://dx.doi.org/10.1090/conm/251/03866 Positivity conditions and squared norms of holomorphic polynomial mappings / John P. D'Angelo -- http://www.ams.org/conm/251/ http://dx.doi.org/10.1090/conm/251/03867 The exponential X-ray transform and Fritz John's equation. I. Range description / Leon Ehrenpreis, Peter Kuchment and Alex Panchenko -- http://www.ams.org/conm/251/ http://dx.doi.org/10.1090/conm/251/03868 Two lemmas in local analytic geometry / Charles L. Epstein and Gennadi M. Henkin -- http://www.ams.org/conm/251/ http://dx.doi.org/10.1090/conm/251/03869 Partitions and theta constant identities / Hershel M. Farkas and Irwin Kra -- http://www.ams.org/conm/251/ http://dx.doi.org/10.1090/conm/251/03870 The Radon transform and spectral rigidity of the Grassmannians / Jacques Gasqui and Hubert Goldschmidt -- http://www.ams.org/conm/251/ http://dx.doi.org/10.1090/conm/251/03871 Complex powers of convolution operators on the Heisenberg group / Daryl Geller -- http://www.ams.org/conm/251/ http://dx.doi.org/10.1090/conm/251/03872 Estimates for generalized Radon transforms in three and four dimensions / Allan Greenleaf, Andreas Seeger and Stephen Wainger -- http://www.ams.org/conm/251/ http://dx.doi.org/10.1090/conm/251/03873 Irregular sampling and the Radon transform / Eric Grinberg and Isaac Pesenson -- http://www.ams.org/conm/251/ http://dx.doi.org/10.1090/conm/251/03874 Involution of $\Lambda $-adic analytic spaces and the $U_p$-operator for half-integral weight modular forms / Pavel Guerzhoy -- http://www.ams.org/conm/251/ http://dx.doi.org/10.1090/conm/251/03875 Maximal sequences of compact Riemann surfaces / Robert C. Gunning -- http://www.ams.org/conm/251/ http://dx.doi.org/10.1090/conm/251/03876 On BMO singularities of solutions of analytic complex vector fields / Jorge Hounie and Joaquim Tavares -- http://www.ams.org/conm/251/ http://dx.doi.org/10.1090/conm/251/03877 The initial value problem for a fifth order shallow water equation on the real line / A. Alexandrou Himonas and Gerard Misio�ek -- http://www.ams.org/conm/251/ http://dx.doi.org/10.1090/conm/251/03878 Mappings between degenerate real analytic hypersurfaces in ${\bf C}^n$ / Xiaojun Huang, Joel Merker and Francine Meylan -- http://www.ams.org/conm/251/ http://dx.doi.org/10.1090/conm/251/03879 Analysis of artifacts in local tomography with nonsmooth attenuation / Alexander Katsevich -- http://www.ams.org/conm/251/ http://dx.doi.org/10.1090/conm/251/03880 The Hecke convergence factor and modular forms of weight zero / Marvin Isadore Knopp and Wladimir de Azevedo Pribitkin -- http://www.ams.org/conm/251/ http://dx.doi.org/10.1090/conm/251/03881 Hypoellipticity at points of infinite type / J. J. Kohn -- http://www.ams.org/conm/251/ http://dx.doi.org/10.1090/conm/251/03882 Semi-global analytic regularity for $\overline \partial _b$ on CR submanifolds of ${\bf C}^2$ / Makhlouf Derridj and David S. Tartakoff -- http://www.ams.org/conm/251/ http://dx.doi.org/10.1090/conm/251/03883 Cauchy transform and Hardy spaces for rough planar domains / Loredana Lanzani -- http://www.ams.org/conm/251/ http://dx.doi.org/10.1090/conm/251/03884 On real analytic planar vector fields near the characteristic set / Abdelhamid Meziani -- http://www.ams.org/conm/251/ http://dx.doi.org/10.1090/conm/251/03885 On longest increasing subsequences in random permutations / A. M. Odlyzko and E. M. Rains -- http://www.ams.org/conm/251/ http://dx.doi.org/10.1090/conm/251/03886 Convergence of Poincar�e series with two complex coweights / Paul C. Pasles -- http://www.ams.org/conm/251/ http://dx.doi.org/10.1090/conm/251/03887 Eisenstein series and Eichler integrals / Wladimir de Azevedo Pribitkin -- http://www.ams.org/conm/251/ http://dx.doi.org/10.1090/conm/251/03914 Real hypersurfaces with no infinitesimal CR automorphisms / Nancy K. Stanton -- http://www.ams.org/conm/251/ http://dx.doi.org/10.1090/conm/251/03888 Extension of cohomology classes / Fran�cois Treves -- http://www.ams.org/conm/251/ http://dx.doi.org/10.1090/conm/251/03889 Two-radius support theorems for spherical Radon transforms on manifolds / Yiying Zhou and Eric Todd Quinto -- http://www.ams.org/conm/251/ http://dx.doi.org/10.1090/conm/251/03890

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Includes bibliographical references.

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