Leon honorary award

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Leon Ehrenpreis (born May 22, 1930 in Brooklyn ; † August 16, 2010 ibid) was an American mathematician who dealt with analysis .

Live and act

Ehrenpreis attended Stuyvesant High School in New York City and studied mathematics at City College of New York ( Bachelor 1950) and at Columbia University , where he received his master’s degree in 1951 and his doctorate in 1953 under Claude Chevalley ( Theory of distributions in compact spaces ). As a post-doctoral student, he was an instructor at Johns Hopkins University in 1953/54 and at the Institute for Advanced Study from 1954 to 1957 . From 1957 he was associate professor at Brandeis University and from 1959 at Yeshiva University . From 1962 to 1968 he was professor at the Courant Institute of Mathematical Sciences of New York University and then professor at Yeshiva University. He was a professor at Temple University since 1984 .

He dealt with partial differential equations , distributions , automorphic functions, several complex variables and the Radon transform . He is known for the Malgrange-Ehrenpreis theorem that differential equations with constant coefficients have a Green function , proven in 1954 by Ehrenpreis and Bernard Malgrange . In 1960 he announced a theorem known as the fundamental principle of Ehrenpreis and Palamodov, which shows the representability of the solutions of systems of polynomial partial differential operators with constant coefficients by a generalized Fourier transform.

Ehrenpreis had been married since 1961 and had eight children. From 1970 to 2007 he took part regularly in the New York City Marathon .

In addition to his work as a mathematician, he was a Talmud scholar and rabbi, a student of Rabbi Moshe Feinstein (1895–1986), whom he advised on scientific issues until his death in 1986.

His PhD students include Carlos Berenstein and Carlos J. Moreno .

Fonts

  • Fourier analysis in several complex variables , Wiley 1970, Dover 2006
  • The universality of the Radon Transform , Oxford, Clarendon Press 2003

Web links

Individual evidence

  1. ^ Theory of distributions in locally compact spaces , Memoirs AMS, Volume 21, 1956
  2. Ehrenpreis Solution of some problems of division , Part 1 ( Division by a polynomial of derivation ), American Journal of Mathematics, Volume 76, 1954, pp. 883-903, Part 2 ( Division by a punctural distribution ), Volume 77, 1955 , Pp. 286-292
  3. Malgrange Existence et approximation des solutions des equations aux derivees partielles et des equations de convolution , Ann. Inst. Fourier, Grenoble, Volume 6, 1965/56, pp. 271-355
  4. Ehrenpreis The fundamental principle of linear constant coefficient partial differential equations , Proc. Int. Symp. Linear Spaces, Jerusalem 1960, pp. 161-174, full proof in Ehrenpreis Fourier Analysis in several complex variables , 1970
  5. VP Palamodov linear differential operators with constant Coefficients , Springer 1970
  6. Represented, for example, in L. Hansen The fundamental principle of L. Ehrenpreis , in Partial Differential Equations , Banach Center Publ., Volume 10, 1983, pdf