From Fourier Analysis and Number Theory to Radon Transforms and Geometry

1. Two Embedding Theorems

   • Gerardo A. Mendoza

   Pages 399-429

2. Cubature Formulas and Discrete Fourier Transform on Compact Manifolds

   • Isaac Z. Pesenson, Daryl Geller

   Pages 431-453

3. The Moment Zeta Function and Applications

   • Igor Rivin

   Pages 455-474

4. A Transcendence Criterion for CM on Some Families of Calabi–Yau Manifolds

   • Paula Tretkoff, Marvin D. Tretkoff

   Pages 475-490

5. Ehrenpreis and the Fundamental Principle

   • François Treves

   Pages 491-507

6. Minimal Entire Functions

   • Benjamin Weiss

   Pages 509-516

7. A Conjecture by Leon Ehrenpreis About Zeroes of Exponential Polynomials

   • Alain Yger

   Pages 517-535

8. The Discrete Analog of the Malgrange–Ehrenpreis Theorem

   • Doron Zeilberger

   Pages 537-541

9. The Legacy of Leon Ehrenpreis

   • Hershel M. Farkas, Robert C. Gunning, B. A. Taylor

   Pages 543-551

​​​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.

• combinatorics
• complex analysis
• number theory
• parrallel refractors
• partial differential equations
• population biology

• , 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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