The Mathematical Legacy of Leon Ehrenpreis

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

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.

• Fourier Analysis
• Integral geometry
• Partial Differential Equations
• Radon transform

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

  Irene Sabadini

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

  Daniele C Struppa

Authors professors of Politecnico di Milano

Policies and ethics