Analysis, Geometry, Number Theory : The Mathematics of Leon Ehrenpreis.

Intro -- Contents -- Preface -- On a problem of injectivity for the Radon transform on a paraboloid -- Anti-self-dual symplectic forms and integral geometry -- Holomorphic extendibility of functions via nonlinear Fourier transforms -- Division-interpolation methods and Nullstellensätze -- Uniqueness and non-uniqueness 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 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 D-modules in integral geometry -- Positivity conditions and squared norms of holomorphic polynomial mappings -- The exponential X-ray 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 Λ-adic analytic spaces and the Up-operator for half-integral 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 Cn -- 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 -- Semi-global analytic regularity for ∂b on CR submanifolds of C2.

Cauchy transform and Hardy spaces for rough planar domains -- On real analytic planar vector fields near the character set -- On longest increasing subsequences in random permutations -- Convergence of Poincaré series with two complex coweights -- Eisenstein series and Eichler integrals -- Real hypersurfaces with no infinitesimal CR automorphisms -- Extension of cohomology classes -- Two-radius support theorems for spherical Radon transforms on manifolds.

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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.