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The Mathematical Legacy of Leon Ehrenpreis

  • Conference proceedings
  • © 2012

Overview

Editors:
  1. Irene Sabadini

    1. Dipartimento di Matematica, Politecnico di Milano, Milano, Italy

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  2. Daniele C Struppa

    1. Schmid College of Science and Technology, Chapman University, Orange, USA

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  • The only comparable titles in existence are the two volumes published in 1990 and in 2000, for (respectively) his 60th and his 70th birthday (the first one out of print, while the second one offering a perspective of the state of the art in integral geometry, partial differential equations, and Fourier analysis which is now ten years old)
  • The book is the combinations of sevaral and diverse mathematicians, many of which were Ehrempreis's collaborators
  • The reader is assured to find extraordinary new contributions, that are both connected to the mathematics of Ehrenpreis, and to modern mathematics
  • Includes supplementary material: sn.pub/extras

Part of the book series: Springer Proceedings in Mathematics (PROM, volume 16)

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Table of contents (24 papers)

  1. Front Matter

    Pages I-X
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  2. Introduction to the Volume

    1. Front Matter

      Pages 1-1
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  3. Introduction to Leon Ehrenpreis

    1. Leon Ehrenpreis: Some Old Souvenirs

      • Bernard Malgrange
      Pages 3-6

    2. Leon Ehrenpreis, a Unique Mathematician

      • Daniele C. Struppa
      Pages 7-13

    3. Leon Ehrenpreis, Recollections from the Recent Decades

      • Peter Kuchment
      Pages 15-21

  4. Invited Papers

    1. Front Matter

      Pages 23-23
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  5. ???

    1. Analyticity on Curves

      • Mark Agranovsky, Lawrence Zalcman
      Pages 25-44

    2. On Local Injectivity for Generalized Radon Transforms

      • Jan Boman
      Pages 45-59

    3. Deconvolution for the Pompeiu Problem on the Heisenberg Group, I

      • Der-Chen Chang, Wayne Eby, Eric Grinberg
      Pages 61-94

    4. Theta Functions Wronskians and Weierstrass Points for Linear Spaces of Meromorphic Functions

      • Hershel M. Farkas
      Pages 95-110

    5. The Admissibility Theorem for the Spatial X-Ray Transform over the Two-Element Field

      • Eric L. Grinberg
      Pages 111-123

    6. Microlocal Analysis of Fixed Singularities of WKB Solutions of a Schrödinger Equation with a Merging Triplet of Two Simple Poles and a Simple Turning Point

      • Shingo Kamimoto, Takahiro Kawai, Yoshitsugu Takei
      Pages 125-150

    7. Geometric Properties of Boundary Orbit Accumulation Points

      • Steven G. Krantz
      Pages 151-161

    8. Microlocal Analysis of Elliptical Radon Transforms with Foci on a Line

      • Venkateswaran P. Krishnan, Howard Levinson, Eric Todd Quinto
      Pages 163-182

    9. Mathematics of Hybrid Imaging: A Brief Review

      • Peter Kuchment
      Pages 183-208

    10. On Fermat-Type Functional and Partial Differential Equations

      • Bao Qin Li
      Pages 209-222

    11. An Analogue of the Galois Correspondence for Foliations

      • Bernard Malgrange
      Pages 223-232

    12. A Quantitative Version of Carathéodory’s Theorem for Convex Sets

      • Reinhold Meise, Alan Taylor
      Pages 233-245

    13. Geometric Path Integrals. A Language for Multiscale Biology and Systems Robustness

      • Domenico Napoletani, Emanuel Petricoin, Daniele C. Struppa
      Pages 247-260

    14. Bounded Cohomology for Solutions of Systems of Differential Equations: Applications to Extension Problems

      • Irene Sabadini, Daniele C. Struppa
      Pages 261-273
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Keywords

About this book

Leon Ehrenpreis has been one of the leading mathematicians in the twentieth century. His contributions to the theory of partial differential equations were part of the golden era of PDEs, and led him to what is maybe his most important contribution, the Fundamental Principle, which he announced in 1960, and fully demonstrated in 1970. His most recent work, on the other hand, focused on a novel and far reaching understanding of the Radon transform, and offered new insights in integral geometry. Leon Ehrenpreis died in 2010, and this volume collects writings in his honor by a cadre of distinguished mathematicians, many of which were his collaborators.

Editors and Affiliations

  • Dipartimento di Matematica, Politecnico di Milano, Milano, Italy

    Irene Sabadini

  • Schmid College of Science and Technology, Chapman University, Orange, USA

    Daniele C Struppa

About the editors

Authors professors of Politecnico di Milano

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