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From Fourier Analysis and Number Theory to Radon Transforms and Geometry

In Memory of Leon Ehrenpreis

  • Book
  • © 2013

Overview

Editors:
  1. Hershel M. Farkas

    1. , Einstein Institute of Mathematics, Hebrew University of Jerusalem, Jerusalem, Israel

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  2. Robert C. Gunning

    1. , Department of Mathematics, Princeton University, Princeton, USA

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  3. Marvin I. Knopp

    1. , Department of Mathematics, Temple University, Philadelphia, USA

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  4. B. A. Taylor

    1. , Department of Mathematics, University of Michigan, Ann Arbor, USA

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  • Unique volume in memory of highly respected mathematician Leon Ehrenpreis
  • Collects contributions from an international group of first-rate mathematicians
  • Covers PDEs, number theory, combinatorics, complex analysis, and select applied mathematics?

Part of the book series: Developments in Mathematics (DEVM, volume 28)

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Table of contents (28 chapters)

  1. Front Matter

    Pages i-xxviii
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  2. Differences of Partition Functions: The Anti-telescoping Method

    • George E. Andrews
    Pages 1-20

  3. The Extremal Plurisubharmonic Function for Linear Growth

    • David Bainbridge
    Pages 21-39

  4. Mahonian Partition Identities via Polyhedral Geometry

    • Matthias Beck, Benjamin Braun, Nguyen Le
    Pages 41-54

  5. Second-Order Modular Forms with Characters

    • Thomas Blann, Nikolaos Diamantis
    Pages 55-66

  6. Disjointness of Moebius from Horocycle Flows

    • J. Bourgain, P. Sarnak, T. Ziegler
    Pages 67-83

  7. Duality and Differential Operators for Harmonic Maass Forms

    • Kathrin Bringmann, Ben Kane, Robert C. Rhoades
    Pages 85-106

  8. Function Theory Related to the Group PSL2(ℝ)

    • R. Bruggeman, J. Lewis, D. Zagier
    Pages 107-201

  9. Analysis of Degenerate Diffusion Operators Arising in Population Biology

    • Charles L. Epstein, Rafe Mazzeo
    Pages 203-216

  10. A Matrix Related to the Theorem of Fermat and the Goldbach Conjecture

    • Hershel M. Farkas
    Pages 217-232

  11. Continuous Solutions of Linear Equations

    • Charles Fefferman, János Kollár
    Pages 233-282

  12. Recurrence for Stationary Group Actions

    • Hillel Furstenberg, Eli Glasner
    Pages 283-291

  13. On the Honda - Kaneko Congruences

    • P. Guerzhoy
    Pages 293-302

  14. Some Intrinsic Constructions on Compact Riemann Surfaces

    • Robert C. Gunning
    Pages 303-324

  15. The Parallel Refractor

    • Cristian E. Gutiérrez, Federico Tournier
    Pages 325-334

  16. On a Theorem of N. Katz and Bases in Irreducible Representations

    • David Kazhdan
    Pages 335-340

  17. Vector-Valued Modular Forms with an Unnatural Boundary

    • Marvin Knopp, Geoffrey Mason
    Pages 341-352

  18. Loss of Derivatives

    • J. J. Kohn
    Pages 353-369

  19. On an Oscillatory Result for the Coefficients of General Dirichlet Series

    • Winfried Kohnen, Wladimir de Azevedo Pribitkin
    Pages 371-374

  20. Representation Varieties of Fuchsian Groups

    • Michael Larsen, Alexander Lubotzky
    Pages 375-397
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Keywords

About this book

​​​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.

Editors and Affiliations

  • , Einstein Institute of Mathematics, Hebrew University of Jerusalem, Jerusalem, Israel

    Hershel M. Farkas

  • , Department of Mathematics, Princeton University, Princeton, USA

    Robert C. Gunning

  • , Department of Mathematics, Temple University, Philadelphia, USA

    Marvin I. Knopp

  • , Department of Mathematics, University of Michigan, Ann Arbor, USA

    B. A. Taylor

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