François Trèves
François Trèves | |
---|---|
Born | Jean François Trèves (1930-04-23) 23 April 1930 (age 94) Brussels |
Citizenship | Italian until 1972, also USA since 1972 |
Education | Paris-Sorbonne University |
Known for | Partial differential equations |
Awards | Chauvenet Prize, Guggenheim Fellow, Leroy P. Steele Prize; Bergman Prize; foreign member of the Brazilian Academy of Sciences; Doctorate Honoris Causa, University of Pisa, Italy; fellow of the American Mathematical Society |
Scientific career | |
Fields | Mathematics |
Institutions | University of California, Berkeley; Yeshiva University; Purdue University; Rutgers University |
Academic advisors | Laurent Schwartz |
J. (Jean) François Treves (born April 23, 1930, in Brussels) is an American mathematician, specializing in partial differential equations.
Trèves earned his Ph.D. in 1958 from Paris-Sorbonne University under the supervision of Laurent Schwartz. He then went to the United States where from 1958 to 1960 he was assistant professor at the University of California, Berkeley. From 1961 to 1964 he was an associate professor at Yeshiva University, and from 1964 to 1970 professor at Purdue University. In 1970 he became a professor at Rutgers University, and then, in 1984, Robert-Adrian professor of mathematics. He became professor emeritus in 2005.
In 1972 he received the Chauvenet Prize for "On local solvability of linear partial differential equations" in the Bulletin of the AMS (Volume 76, 1970, pp. 552–571). It was about the problem he worked in 1962 with Louis Nirenberg with whom he found necessary and sufficient conditions for the solvability of equations with analytic coefficients, 1969 (Comptes Rendus de l'Académie des Sciences Paris Bd.269). The question was first presented to him in 1955 by Schwartz as a thesis problem.
In 1977 he was Guggenheim Fellow. In 1991 he received the Leroy P. Steele Prize for his book on pseudo-differential operators and Fourier integral operators. In 2003 he became a foreign member of the Brazilian Academy of Sciences. In 1970 he was an 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).[1] He is a fellow of the American Mathematical Society.[2]
Writings
Articles
- "On the theory of linear partial differential operators with analytic coefficients." Transactions of the American Mathematical Society 137 (1969): 1–20. doi:10.2307/1994784
- "An abstract nonlinear Cauchy-Kovalevska theorem." Transactions of the American Mathematical Society 150, no. 1 (1970): 77–92. MR0274911
- "Differential polynomials and decay at infinity." Bulletin of the American Mathematical Society 66, no. 3 (1960): 184–186. MR0117448
- "Discrete phenomena in uniqueness in the Cauchy problem." Proceedings of the American Mathematical Society 46, no. 2 (1974): 229–233. MR0352679
- with Howard Jacobowitz: "Nowhere solvable homogeneous partial differential equations." Bulletin of the American Mathematical Society 8, no. 3 (1983): 467–469. MR693964
- with Nicholas Hanges: "On the analyticity of solutions of first-order nonlinear PDE." Transactions of the American Mathematical Society 331, no. 2 (1992): 627–638. MR1061776
Books
- Treves, François (1967). Locally Convex Spaces and Linear Partial Differential Equations. Berlin, Heidelberg: Springer Berlin Heidelberg. doi:10.1007/978-3-642-87371-3. ISBN 978-3-642-87373-7. Retrieved 2022-09-13.
- Treves, François (1968). Linear Partial Differential Equations with Constant Coefficients. New York, N. Y.: Gordon and Breach.
- Treves, François (2022). Analytic Partial Differential Equations. Grundlehren der mathematischen Wissenschaften. Vol. 359. Cham: Springer International Publishing. doi:10.1007/978-3-030-94055-3. ISBN 978-3-030-94054-6. Retrieved 2022-09-13.
- Treves, François (1980). Introduction to Pseudodifferential and Fourier Integral Operators Volume 1. Boston, MA: Springer US. doi:10.1007/978-1-4684-8780-0. ISBN 978-1-4684-8782-4. Retrieved 2022-09-13.
- Treves, Francois (2006). Basic linear partial differential equations. Dover books on mathematics. Mineola, N.Y: Dover Publications. ISBN 978-0-486-45346-0.
- Treves, Francois (2006). Topological vector spaces, distributions and kernels. Dover books on mathematics. Mineola, N.Y: Dover Publications. ISBN 978-0-486-45352-1.
- Cordaro, Paulo D.; Treves, Francois (1994). Hyperfunctions on hypo-analytic manifolds. Annals of mathematics studies. Princeton, N.J: Princeton University Press. ISBN 978-0-691-02993-1.[3]
- Treves, François (2014). Hypo-Analytic Structures (PMS-40), Volume 40: Local Theory (PMS-40) (Course Book ed.). Princeton, NJ: Princeton University Press. ISBN 978-0-691-63541-5.[4]
- Treves, Francois (1990). Homotopy formulas in the tangential Cauchy-Riemann complex. Providence, R.I., USA: American Mathematical Society. ISBN 978-1-4704-0857-2.
References
- ^ Trèves, F. "Hamiltonian fields, bicharactertistic strips in relation with existence and regularity of solutions of linear partial differential equations." Archived 2016-09-27 at the Wayback Machine In Actes, Congrès Intern. Math, vol. 2, pp. 803–811. 1970.
- ^ List of Fellows of the American Mathematical Society, retrieved 2013-11-26.
- ^ Schapira, Pierre (1996). "Review: Hyperfunctions on hypo-analytic manifolds by Paulo D. Cordaro and François Trèves" (PDF). Bull. Amer. Math. Soc. (N.S.). 33 (1): 115–118. doi:10.1090/s0273-0979-96-00628-3.
- ^ Webster, Sidney M. (1994). "Review: Hypo-analytic structures, local theory by François Trèves" (PDF). Bull. Amer. Math. Soc. (N.S.). 30 (2): 290–292. doi:10.1090/s0273-0979-1994-00468-9.
External links
- Trèves: On local solvability of linear partial differential equations. BAMS 1970
- Rutgers University: emeritus status in 2005
- François Trèves at the Mathematics Genealogy Project
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- 1925 G. A. Bliss
- 1929 T. H. Hildebrandt
- 1932 G. H. Hardy
- 1935 Dunham Jackson
- 1938 G. T. Whyburn
- 1941 Saunders Mac Lane
- 1944 R. H. Cameron
- 1947 Paul Halmos
- 1950 Mark Kac
- 1953 E. J. McShane
- 1956 Richard H. Bruck
- 1960 Cornelius Lanczos
- 1963 Philip J. Davis
- 1964 Leon Henkin
- 1965 Jack K. Hale and Joseph P. LaSalle
- 1967 Guido Weiss
- 1968 Mark Kac
- 1970 Shiing-Shen Chern
- 1971 Norman Levinson
- 1972 François Trèves
- 1973 Carl D. Olds
- 1974 Peter D. Lax
- 1975 Martin Davis and Reuben Hersh
- 1976 Lawrence Zalcman
- 1977 W. Gilbert Strang
- 1978 Shreeram S. Abhyankar
- 1979 Neil J. A. Sloane
- 1980 Heinz Bauer
- 1981 Kenneth I. Gross
- 1982 No award given.
- 1983 No award given.
- 1984 R. Arthur Knoebel
- 1985 Carl Pomerance
- 1986 George Miel
- 1987 James H. Wilkinson
- 1988 Stephen Smale
- 1989 Jacob Korevaar
- 1990 David Allen Hoffman
- 1991 W. B. Raymond Lickorish and Kenneth C. Millett
- 1992 Steven G. Krantz
- 1993 David H. Bailey, Jonathan M. Borwein and Peter B. Borwein
- 1994 Barry Mazur
- 1995 Donald G. Saari
- 1996 Joan Birman
- 1997 Tom Hawkins
- 1998 Alan Edelman and Eric Kostlan
- 1999 Michael I. Rosen
- 2000 Don Zagier
- 2001 Carolyn S. Gordon and David L. Webb
- 2002 Ellen Gethner, Stan Wagon, and Brian Wick
- 2003 Thomas C. Hales
- 2004 Edward B. Burger
- 2005 John Stillwell
- 2006 Florian Pfender & Günter M. Ziegler
- 2007 Andrew J. Simoson
- 2008 Andrew Granville
- 2009 Harold P. Boas
- 2010 Brian J. McCartin
- 2011 Bjorn Poonen
- 2012 Dennis DeTurck, Herman Gluck, Daniel Pomerleano & David Shea Vela-Vick
- 2013 Robert Ghrist
- 2014 Ravi Vakil
- 2015 Dana Mackenzie
- 2016 Susan H. Marshall & Donald R. Smith
- 2017 Mark Schilling
- 2018 Daniel J. Velleman
- 2019 Tom Leinster
- 2020 Vladimir Pozdnyakov & J. Michael Steele
- 2021 Travis Kowalski
- 2022 William Dunham, Ezra Brown & Matthew Crawford