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2012 | OriginalPaper | Chapter

Leon Ehrenpreis, Recollections from the Recent Decades

Author : Peter Kuchment

Published in: The Mathematical Legacy of Leon Ehrenpreis

Publisher: Springer Milan

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Abstract

Leon Ehrenpreis was an outstanding world-class mathematician and a wonderful, warm person. I had a privilege to consider myself his friend for the last two decades. It is hard to do justice to his manifold mathematics and personality, but I will try to at least add some recollections to this tribute volume.

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previous chapter Leon Ehrenpreis, a Unique Mathematician

next chapter Analyticity on Curves

One can also read the AMS Notices article [30] for recollections of several Leon’s friends and colleagues. A volume on tomography [10] is also dedicated to Leon’s memory.

The Arcata meeting was also the place where I met for the first time other colleagues, whom I now consider as long-time friends (J. Boman, D. Finch, A. Markoe, E. T. Quinto, G. Uhlmann, and many others). I could not even imagine that twelve years later I would have a privilege to work at the same department at Texas A&M with another group of researchers whose work I studied and admired as a young mathematician in Russia, such as Ron Douglas, Ciprian Foias, Carl Pearcy, and Gilles Pisier.

For instance, when the so-called moment conditions [35, 42] for the standard Radon transform are written, checking their necessity boils down to noticing that the kth power (x⋅ω)^k of the inner product of two vectors is a homogeneous polynomial of degree k with respect to each of them.

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10.

Bal, G., Finch, D., Kuchment, P., Schotland, J., Stefanov, P., Uhlmann, G. (eds.) Tomography and Inverse Transport Theory. Contemp. Math., vol. 559, Am. Math. Soc., Providence (2011) MATH

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Ehrenpreis, L.: Microglobal analysis. Adv. Nonlinear Stud. 10(3), 729–739 (2010) MathSciNetMATH

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Ehrenpreis, L.: Eisenstein and Poincaré series on SL(3,ℝ). Int. J. Number Theory 5(8), 1447–1475 (2009) MathSciNetMATHCrossRef

14.

Ehrenpreis, L.: The Radon transform for functions defined on planes. In: Integral Geometry and Tomography. Contemp. Math., vol. 405, pp. 41–46. Am. Math. Soc., Providence (2006) CrossRef

15.

Ehrenpreis, L.: Some novel aspects of the Cauchy problem. In: Harmonic Analysis, Signal Processing, and Complexity. Progr. Math., vol. 238, pp. 1–14. Birkhäuser Boston, Boston (2005) CrossRef

16.

Ehrenpreis, L.: The role of Paley–Wiener theory in partial differential equations. In: The Legacy of Norbert Wiener: A Centennial Symposium, Cambridge, MA, 1994. Proc. Sympos. Pure Math., vol. 60, pp. 71–83. Am. Math. Soc., Providence (1997)

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Ehrenpreis, L.: Parametric and nonparametric Radon transform. In: 75 Years of Radon Transform, Vienna, 1992. Conf. Proc. Lecture Notes Math. Phys., vol. IV, pp. 110–122. Int. Press, Cambridge (1994)

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Ehrenpreis, L.: Some Nonlinear Aspects of the Radon Transform, Tomography, Impedance Imaging, and Integral Geometry (South Hadley, MA, 1993). Lectures in Appl. Math., vol. 30, pp. 69–81. Am. Math. Soc., Providence (1994)

19.

Ehrenpreis, L.: Singularities, Functional Equations, and the Circle Method. The Rademacher Legacy to Mathematics (University Park, PA, 1992). Contemp. Math., vol. 166, pp. 35–80. Am. Math. Soc., Providence (1994)

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Ehrenpreis, L.: Exotic parametrization problems. Ann. Inst. Fourier (Grenoble) 4(5), 1253–1266 (1993) MathSciNetCrossRef

21.

Ehrenpreis, L.: Function theory for Rogers–Ramanujan-like partition identities. In: A Tribute to Emil Grosswald: Number Theory and Related Analysis. Contemp. Math., vol. 143, pp. 259–320. Am. Math. Soc., Providence (1993) CrossRef

22.

Ehrenpreis, L.: The Schottky relation in genus 4. In: Curves, Jacobians, and Abelian varieties, Amherst, MA, 1990. Contemp. Math., vol. 136, pp. 139–160. Am. Math. Soc., Providence (1992) CrossRef

23.

Ehrenpreis, L.: Extensions of solutions of partial differential equations. In: Geometrical and Algebraical Aspects in Several Complex Variables, Cetraro, 1989. Sem. Conf., vol. 8, pp. 361–375. EditEl, Rende (1991)

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Farkas, H., Kawai, T., Kuchment, P., Quinto, T.E., Sternberg, S., Struppa, D., Taylor, B.A.: Remembering Leon Ehrenpreis: 1930–2010. Not. Am. Math. Soc. 58(5), 674–681 (2011) MathSciNetMATH

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Title: Leon Ehrenpreis, Recollections from the Recent Decades
Author: Peter Kuchment
Publisher: Springer Milan
Book: The Mathematical Legacy of Leon Ehrenpreis
Print ISBN: 978-88-470-1946-1

Electronic ISBN: 978-88-470-1947-8

Copyright Year: 2012
DOI: https://doi.org/10.1007/978-88-470-1947-8_3

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