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E-grāmata: From Fourier Analysis and Number Theory to Radon Transforms and Geometry: In Memory of Leon Ehrenpreis

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  • Formāts: PDF+DRM
  • Sērija : Developments in Mathematics 28
  • Izdošanas datums: 18-Sep-2012
  • Izdevniecība: Springer-Verlag New York Inc.
  • Valoda: eng
  • ISBN-13: 9781461440758
  • Formāts - PDF+DRM
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  • Formāts: PDF+DRM
  • Sērija : Developments in Mathematics 28
  • Izdošanas datums: 18-Sep-2012
  • Izdevniecība: Springer-Verlag New York Inc.
  • Valoda: eng
  • ISBN-13: 9781461440758

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???A memorial conference for Leon Ehrenpreis was held at Temple University, November 15-16, 2010. In the spirit of Ehrenpreis’s contribution to mathematics, the papers in this volume, written by prominent mathematicians, represent the wide breadth of subjects that Ehrenpreis traversed in his career, including partial differential equations, combinatorics, number theory, complex analysis and a bit of applied mathematics. With the exception of one survey article, the papers in this volume are all new results in the various fields in which Ehrenpreis worked . There are papers in pure analysis, papers in number theory, papers in what may be called applied mathematics such as population biology and parallel refractors and papers in partial differential equations. The mature mathematician will find new mathematics and the advanced graduate student will find many new ideas to explore. A biographical sketch of Leon Ehrenpreis by his daughter, a professional journalist, enhances the memorial tribute and gives the reader a glimpse into the life and career of a great mathematician.
A Biography of Leon Ehrenpreis xiii
Yael Nachama (Ehrenpreis) Meyer
Differences of Partition Functions: The Anti-telescoping Method
1(20)
George E. Andrews
The Extremal Plurisubharmonic Function for Linear Growth
21(20)
David Bainbridge
Mahonian Partition Identities via Polyhedral Geometry
41(14)
Matthias Beck
Benjamin Braun
Nguyen Le
Second-Order Modular Forms with Characters
55(12)
Thomas Blann
Nikolaos Diamantis
Disjointness of Moebius from Horocycle Flows
67(18)
J. Bourgain
P. Sarnak
T. Ziegler
Duality and Differential Operators for Harmonic Maass Forms
85(22)
Kathrin Bringmann
Ben Kane
Robert C. Rhoades
Function Theory Related to the Group PSL2(R)
107(96)
R. Bruggeman
J. Lewis
D. Zagier
Analysis of Degenerate Diffusion Operators Arising in Population Biology
203(14)
Charles L. Epstein
Rafe Mazzeo
A Matrix Related to the Theorem of Fermat and the Goldbach Conjecture
217(16)
Hershel M. Farkas
Continuous Solutions of Linear Equations
233(50)
Charles Fefferman
Janos Kollar
Recurrence for Stationary Group Actions
283(10)
Hillel Furstenberg
Eli Glasner
On the Honda - Kaneko Congruences
293(10)
P. Guerzhoy
Some Intrinsic Constructions on Compact Riemann Surfaces
303(22)
Robert C. Gunning
The Parallel Refractor
325(10)
Cristian E. Gutierrez
Federico Tournier
On a Theorem of N. Katz and Bases in Irreducible Representations
335(6)
David Kazhdan
Vector-Valued Modular Forms with an Unnatural Boundary
341(12)
Marvin Knopp
Geoffrey Mason
Loss of Derivatives
353(18)
J.J. Kohn
On an Oscillatory Result for the Coefficients of General Dirichlet Series
371(4)
Winfried Kohnen
Wladimir de Azevedo Pribitkin
Representation Varieties of Fuchsian Groups
375(24)
Michael Larsen
Alexander Lubotzky
Two Embedding Theorems
399(32)
Gerardo A. Mendoza
Cubature Formulas and Discrete Fourier Transform on Compact Manifolds
431(24)
Isaac Z. Pesenson
Daryl Geller
The Moment Zeta Function and Applications
455(20)
Igor Rivin
A Transcendence Criterion for CM on Some Families of Calabi-Yau Manifolds
475(16)
Paula Tretkoff
Marvin D. Tretkoff
Ehrenpreis and the Fundamental Principle
491(18)
Francois Treves
Minimal Entire Functions
509(8)
Benjamin Weiss
A Conjecture by Leon Ehrenpreis About Zeroes of Exponential Polynomials
517(20)
Alain Yger
The Discrete Analog of the Malgrange-Ehrenpreis Theorem
537(6)
Doron Zeilberger
The Legacy of Leon Ehrenpreis
543
Hershel M. Farkas
Robert C. Gunning
B.A. Taylor