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From fourier analysis and number theory to radon transforms and geometry : in memory of Leon Ehrenpreis / [edited by] Hershel M. Farkas...[et al.].

By: Contributor(s): Material type: TextTextSeries: Developments in mathematics ; 28Publication details: New York : Springer, 2013.Description: xxviii, 551 p : ill. ; 24 cmISBN:
  • 9781461440741 (hbk. : alk. paper)
Subject(s): DDC classification:
  • 510 23 C748
Contents:
A bibliography of Leon Ehrenpreis / Yael Nachama (Ehrenpreis) Meyer -- Differences of partition functions: the anti-telescoping method / George E. Andrews -- The extremal plurisubharmonic function for linear growth / David Bainbridge -- Mahonian partition identities via polyhedral geometry / Matthias Beck, Benjamin Braun, and Nguygen Le -- Second order modular forms with characters / Thomas Blann and Nikolaos Diamantis -- Disjointness of moebius from horocycle flows / J. Bourgain, P. Sarnak, and T. Ziegler -- Duality and differential operators for harmonic maass forms / Kathrin Bringmann, Ben Kane, and Robert C. Rhoades -- Function theory related to the group PSL₂(R) / R. Bruggeman, J. Lewis, and D. Zagier -- Analysis of degenerate diffusion operators arising in population biology / Charles L. Epstein and Rafe Mazzeo -- A matrix related to the theorem of fermat and the Goldbach conjecture / Hershel M. Farkas -- Continuous solutions of linear equations / Charles Fefferman and János Kollár -- Recurrence for stationary group actions / Hillel furstenberg and Eli Glasner -- On the honda -- Kaneko congruences / P. Guerzhoy -- Some intrinsic constructions on compact Riemann surfaces / Robert C. Gunning -- The parallel refractor / Cristian E. Gutiérrez and Federicl Tournier -- On a theorem of N. Katz and bases in Irreducible representations / David Kazhdan -- Vector-valued modular forms with an unnatural boundary / Marvin Knopp and Geoffrey Mason -- Loss of derivatives / J.J. Kohn -- On an oscillatory result for the coefficients of general dirichlet series / Winfried Kohnen and Wladimir de Azevedo Pribitkin -- Representation varieties of Fuchsian groups / Michael Larsen and Alexander Lubotzky -- Two embedding theorems / Gerardo A. Mendoza -- Cubature formulas and discrete Fourier transform on compact manifolds / Isaac Z. Pesenson and Daryl Geller -- The moment zeta function and applications / Igor Rivin -- A transcendence criterion for CM on some families of Calabi-Yau manifolds / Paula Tretkoff and Marvin D. Tretkoff -- Ehrenpreis and the fundamental principle / François Treves -- Minimal entire functions / Benjamin Weiss -- A conjecture by Leon Ehrenpreis about zeroes of exponential polynominals / Alain Yger -- The discrete analog of the Malgrange-Egrenpreis theorem / Doron Zeilberger -- The legacy of Leon Ehrenpreis / Hershel M. Farkas, Robert C. Gunning, and B.A. Taylor.
Summary: ​​This publication is an outgrowth of a memorial conference for Leon Ehrenpreis 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 some applied mathematics. The papers in this volume generally contain all new results in the various fields in which Ehrenpreis worked.
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Includes bibliographical references.

A bibliography of Leon Ehrenpreis / Yael Nachama (Ehrenpreis) Meyer --
Differences of partition functions: the anti-telescoping method / George E. Andrews --
The extremal plurisubharmonic function for linear growth / David Bainbridge --
Mahonian partition identities via polyhedral geometry / Matthias Beck, Benjamin Braun, and Nguygen Le --
Second order modular forms with characters / Thomas Blann and Nikolaos Diamantis --
Disjointness of moebius from horocycle flows / J. Bourgain, P. Sarnak, and T. Ziegler --
Duality and differential operators for harmonic maass forms / Kathrin Bringmann, Ben Kane, and Robert C. Rhoades --
Function theory related to the group PSL₂(R) / R. Bruggeman, J. Lewis, and D. Zagier --
Analysis of degenerate diffusion operators arising in population biology / Charles L. Epstein and Rafe Mazzeo --
A matrix related to the theorem of fermat and the Goldbach conjecture / Hershel M. Farkas --
Continuous solutions of linear equations / Charles Fefferman and János Kollár --
Recurrence for stationary group actions / Hillel furstenberg and Eli Glasner --
On the honda --
Kaneko congruences / P. Guerzhoy --
Some intrinsic constructions on compact Riemann surfaces / Robert C. Gunning --
The parallel refractor / Cristian E. Gutiérrez and Federicl Tournier --
On a theorem of N. Katz and bases in Irreducible representations / David Kazhdan --
Vector-valued modular forms with an unnatural boundary / Marvin Knopp and Geoffrey Mason --
Loss of derivatives / J.J. Kohn --
On an oscillatory result for the coefficients of general dirichlet series / Winfried Kohnen and Wladimir de Azevedo Pribitkin --
Representation varieties of Fuchsian groups / Michael Larsen and Alexander Lubotzky --
Two embedding theorems / Gerardo A. Mendoza --
Cubature formulas and discrete Fourier transform on compact manifolds / Isaac Z. Pesenson and Daryl Geller --
The moment zeta function and applications / Igor Rivin --
A transcendence criterion for CM on some families of Calabi-Yau manifolds / Paula Tretkoff and Marvin D. Tretkoff --
Ehrenpreis and the fundamental principle / François Treves --
Minimal entire functions / Benjamin Weiss --
A conjecture by Leon Ehrenpreis about zeroes of exponential polynominals / Alain Yger --
The discrete analog of the Malgrange-Egrenpreis theorem / Doron Zeilberger --
The legacy of Leon Ehrenpreis / Hershel M. Farkas, Robert C. Gunning, and B.A. Taylor.

​​This publication is an outgrowth of a memorial conference for Leon Ehrenpreis 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 some applied mathematics. The papers in this volume generally contain all new results in the various fields in which Ehrenpreis worked.

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