From Fourier Analysis and Number Theory to Radon Transforms and Geometry In Memory of Leon Ehrenpreis /

• Corporate Author: SpringerLink (Online service)
• Other Authors: Farkas, Hershel M. (Editor), Gunning, Robert C. (Editor), Knopp, Marvin I. (Editor), Taylor, B. A. (Editor)
• Format: Electronic
• Language: English
• Published: New York, NY : Springer New York : Imprint: Springer, 2013.
• Series: Developments in Mathematics, 28
• Subjects: Mathematics.; Differential equations, partial.; Combinatorics.; Number theory.; Partial Differential Equations.; Number Theory.
• Online Access: https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-1-4614-4075-8

This publication is an outgrowth of a memorial conference for Leon Ehrenpreis held at Temple University, November 15<U+0013>16, 2010. In the spirit of Ehrenpreis<U+0019>s contribution to mathematics, the papers in this volume, written by prominent mathematicians, represent the wide brea...

Table of Contents:

• Preface. Biographical Sketch of Leon Ehrenpreis (Yael Ehrenpreis Meyer)
• Differences of Partition Functions - The Anti-Telescoping Method(G.E. Andrews)
• The Extremal Plurisubharmonic Function for Linear Growth (D. Bainbridge)
• Mahonian Partition Identities Via Polyhedral Geometry (M. Beck, B. Braun, N. Le)
• Second Order Modular Forms with Characters (T. Blann, N. Diamantis)
• Disjointness of Moebius From Horocycle Flows (J. Bourgain, P. Sarnak, T. Zeigler)
• Duality and Differential Operators for Harmonic MAASS Forms (K. Bringmann, B. Kane, R.C. Rhoades)
• Function Theory Related to the Group PSL2(R) (R. Bruggeman, J. Lewis, D. Zagier)
• Analysis of Degenerate Diffusion Operators Arising in Population Biology (C.L. Epstein, R. Mazzeo)
• A Matrix Related to the Theorem of Fermat and the Goldbach Conjecture (H.M. Farkas)
• Continuous Solutions of Linear Equations (C. Fefferman, J. Kollr̀)
• Recurrence for Stationary Group Actions (H. Furstenberg, E. Glasner)
• On the Honda<U+0014>Kaneko Congruences (P. Guerzhoy)
• Some Intrinsic Constructions on Compact Riemann Surfaces (Robert C. Gunning)
• The Parallel Refractor (C.E. Gutiřrez, F. Tournier)
• On a Theorem of N. Katz and Bases in Irreducible Representations (D. Kazhdan)
• Vector-valued Modular Forms with an Unnatural Boundary (M. Knopp, G. Mason)
• Loss of Derivatives (J.J. Kohn)
• On an Oscillatory Result for the Coefficients of General Dirichlet Series (W. Kohnen, W. de Azevedo Pribitkin)
• Representation Varieties of Fucsian Groups (M. Larsen, Alexander Lubotzky)
• Two Embedding Theorems (G.A. Mendoza)
• Cubature Formulas and Discrete Fourier Transform on Compact Manifolds (I. Z. Pesenson, D. Geller)
• The Moment Zeta Function and Applications (I. Rivin)
• A Transcendence Criterion for CM on Some Families of Calabi<U+0014>Yau Manifolds (P. Tretkoff)
• Ehrenpreis and the Fundamental Principle (F. Treves)
• Minimal Entire Functions (B. Weiss)
• A Conjecture by Leon Ehrenpreis about Zeroes of Exponential Polynomials (A. Yger)
• The Discrete Analog of the Malgrange<U+0014>Ehrenpreis Theorem (D. Zeilberger)
• The Legacy of Leon Ehrenpreis
• PhD Students
• Publications of Leon Ehrenpreis.