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François Trèves

April 11, 2024

J. (Jean) François Treves (born April 23, 1930, in Brussels) is an American mathematician, specializing in partial differential equations.

François Trèves
Born
Jean François Trèves

(1930-04-23) 23 April 1930 (age 93)
Brussels
CitizenshipItalian until 1972, also USA since 1972
EducationParis-Sorbonne University
Known forPartial differential equations
AwardsChauvenet 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
FieldsMathematics
InstitutionsUniversity of California, Berkeley; Yeshiva University; Purdue University; Rutgers University
Academic advisorsLaurent Schwartz

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 edit

Articles edit

  • "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 edit

  • 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 edit

  1. ^ Trèves, F. "Hamiltonian fields, bicharactertistic strips in relation with existence and regularity of solutions of linear partial differential equations." In Actes, Congrès Intern. Math, vol. 2, pp. 803–811. 1970.
  2. ^ List of Fellows of the American Mathematical Society, retrieved 2013-11-26.
  3. ^ 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.
  4. ^ 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 edit

  • Trèves: On local solvability of linear partial differential equations. BAMS 1970
  • Rutgers University: emeritus status in 2005
  • François Trèves at the Mathematics Genealogy Project

April 11, 2024
françois, trèves, jean, françois, treves, born, april, 1930, brussels, american, mathematician, specializing, partial, differential, equations, bornjean, 1930, april, 1930, brusselscitizenshipitalian, until, 1972, also, since, 1972educationparis, sorbonne, uni. J Jean Francois Treves born April 23 1930 in Brussels is an American mathematician specializing in partial differential equations Francois TrevesBornJean Francois Treves 1930 04 23 23 April 1930 age 93 BrusselsCitizenshipItalian until 1972 also USA since 1972EducationParis Sorbonne UniversityKnown forPartial differential equationsAwardsChauvenet 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 SocietyScientific careerFieldsMathematicsInstitutionsUniversity of California Berkeley Yeshiva University Purdue University Rutgers UniversityAcademic advisorsLaurent SchwartzTreves 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 Academie 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 Contents 1 Writings 1 1 Articles 1 2 Books 2 References 3 External linksWritings editArticles edit 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 MR1061776Books edit Treves Francois 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 Francois 1968 Linear Partial Differential Equations with Constant Coefficients New York N Y Gordon and Breach Treves Francois 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 Francois 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 Francois 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 edit Treves F Hamiltonian fields bicharactertistic strips in relation with existence and regularity of solutions of linear partial differential equations In Actes Congres 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 Francois Treves 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 Francois Treves PDF Bull Amer Math Soc N S 30 2 290 292 doi 10 1090 s0273 0979 1994 00468 9 External links editTreves On local solvability of linear partial differential equations BAMS 1970 Rutgers University emeritus status in 2005 Francois Treves at the Mathematics Genealogy Project Retrieved from https en wikipedia org w index php title Francois Treves amp oldid 1173673741, wikipedia, wiki, book, books, library,

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