François Treves

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Jean-François Treves (born April 23, 1930 in Brussels ) is an Italian-American mathematician who deals with partial differential equations .

Life

Treves received his doctorate in 1958 at the Sorbonne under Laurent Schwartz . He then went to the United States, where he was an assistant professor at Berkeley from 1958 to 1960 . 1961 to 1964 he was an associate professor at Yeshiva University and 1964 to 1970 professor at Purdue University . In 1970 he became a professor at Rutgers University , where he became Robert Adrian Professor in 1984 and retired in 2005.

In 1972 he received the Chauvenet Prize for On local solvability of linear partial differential equations in the AMS Bulletin (vol. 76, 1970, p. 552). From 1962 he investigated the problem with Louis Nirenberg , and they suspected necessary and sufficient conditions which they proved for equations with analytical coefficients in 1969 (Comptes rendus de l'Académie des sciences Paris, vol. 269). The problem was posed to him by Schwartz as early as 1955 for his diploma topic.

In 1977 he was a Guggenheim Fellow. In 1991 he received the Leroy P. Steele Prize for his book Pseudodifferential and Fourier Integral Operators . In 2003 he became an external member of the Brazilian Academy of Sciences. In 1970 he was invited speaker at the International Congress of Mathematicians in Nice ( Hamiltonian fields, bicharacteristic strips in relation with existence and regularity of solutions of linear partial differential equations ). He is a fellow of the American Mathematical Society . For 2017 he was awarded the Stefan Bergman Prize.

Fonts

  • Locally Convex Spaces and Linear Partial Differential Equations. Basic teachings of the mathematical sciences, Springer-Verlag 1967.
  • Linear Partial Differential Equations with Constant Coefficients. Harwood Academic 1968.
  • Introduction to Pseudodifferential and Fourier Integral Operators. 2 vols., Kluwer / Plenum, Springer-Verlag 1980, 1981.
  • Topological Vector Spaces, Distributions and Kernels. Dover 2006, ISBN 0-486-45352-9 .
  • Basic Linear Partial Differential Equations. Academic Press 1975, Dover 2006.
  • with Codaro: Hyperfunctions and Hypoanalytic Manifolds. Princeton, Annals of Mathematical Studies.
  • Hypo-Analytic Structures - Local Theory. Princeton University Press.
  • Homotopy Formulas in the Tangential Cauchy-Riemann Complex. Memoirs AMS 1990.

Web links

Remarks

  1. ↑ Stefan Bergman Prize 2017
personal data
SURNAME Treves, François
ALTERNATIVE NAMES Treves, Jean-François
BRIEF DESCRIPTION Italian-American mathematician
DATE OF BIRTH April 23, 1930
PLACE OF BIRTH Brussels