François Trèves

Q: What Schools Are Affiliated With François Trèves

François Trèves is affiliated with the following schools: University of California, Berkeley, Rutgers University, Princeton University, Purdue University, Yeshiva University

François Trèves's AcademicInfluence.com Rankings

François Trèves

Mathematics

#2752

World Rank

#4184

Historical Rank

Measure Theory

#779

World Rank

#1038

Historical Rank

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Mathematics

François Trèves's Degrees

PhD Mathematics Princeton University

Why Is François Trèves Influential?

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According to Wikipedia, J. François Treves 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.

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François Trèves's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Topological vector spaces, distributions and kernels (1967) (2285)
Introduction to Pseudodifferential and Fourier Integral Operators (1980) (1071)
Basic Linear Partial Differential Equations (1975) (609)
A property of the functions and distributions annihilated by a locally integrable system of complex (1981) (205)
On the analyticity of CR mappings (1985) (174)
On local solvability of linear partial differential equations part I: Necessary conditions (1970) (159)
Solvability of a first order linear partial differential equation (1963) (148)
Analytic hypo-ellipticity of a class of pseudodifferential operators with double characteristics and applications to the -neumann problem (1978) (144)
On local solvability of linear partial differential equations—part II. Sufficient conditions† (1970) (143)
Hypo-Analytic Structures (1991) (126)
Hypo-Analytic Structures: Local Theory (1993) (124)
Microlocal hypo-analyticity and extension of CR functions (1983) (98)
Ovcyannikov theorem and hyperdifferential operators (1968) (86)
Approximation and representation of functions and distributions annihilated by a system of complex vector fields (1981) (75)
Locally Convex Spaces and Linear Partial Differential Equations (1967) (74)
A new method of proof of the subelliptic estimates (1971) (69)
On the local solvability and the local integrability of systems of vector fields (1983) (68)
Propagation of holomorphic extendability of CR functions (1983) (64)
About the holomorphic extension of CR functions on real hypersurfaces in complex space (1984) (58)
Linear partial differential equations with constant coefficients : existence, approximation, and regularity of solutions (1966) (55)
Non-realizable CR structures (1982) (55)
On a class of pseudodifferential operators with double characteristics (1974) (48)
An abstract nonlinear Cauchy-Kovalevska theorem (1970) (45)
An Example in the Solvability Theory of Linear PDE's (1974) (44)
On a class of systems of pseudodifferential equations with double characteristics (1974) (42)
Analytic‐hypoelliptic partial differential equations of principal type (1971) (40)
Concatenations of second-order evolution equations applied to local solvability and hypoellipticity (1973) (37)
Review: M. A. Shubin, Pseudodifferential operators and spectral theory (1988) (36)
On the Gevrey hypo-ellipticity of sums of squares of vector fields (2004) (35)
Hypoelliptic partial differential equations of principal type. Sufficient conditions and necessary conditions (1971) (32)
Fundamental Solutions of Linear Partial Differential Equations with Constant Coefficients Depending on Parameters (1962) (31)
Linear Partial Differential Equations (1970) (31)
Homotopy formulas in the tangential Cauchy-Riemann complex (1990) (29)
Demarks about certain first-order linear pdf in two variables (1980) (29)
A necessary condition of local solvability for pseudo-differential equations with double characteristics (1974) (27)
Hypoelliptic partial differential equations of principal type with analytic coefficients (1970) (25)
On the analyticity of solutions of sums of squares of vector fields (2006) (22)
Hypo-Analytic Structures: Local Theory (PMS-40) (1993) (22)
Differential polynomials and decay at infinity (1960) (21)
Homology and cohomology in hypo-analytic structures of the hypersurface type (1991) (21)
First-order linear PDEs and uniqueness in the Cauchy problem (1974) (21)
Standard Pseudodifferential Operators (1980) (21)
On the lowest eigenvalue of the hodge Laplacian (1997) (20)
Discrete phenomena in uniqueness in the Cauchy problem (1974) (20)
Pseudo-Fokker Planck equations and hyperdifferential operators (1970) (19)
On the analyticity of solutions of first-order nonlinear PDE (1992) (19)
Hyperfunctions on hypo-analytic manifolds (1994) (19)
Pseudodifferential Operators and Applications (1985) (19)
A Link Between Solvability of Pseudodifferential Equations and Uniqueness in the Cauchy Problem (1972) (16)
Flat solutions and singular solutions of homogeneous linear partial differential equations with analytic coefficients (1979) (16)
An algebraic characterization of the Korteweg-de Vries hierarchy (2001) (15)
Integral representation of solutions of first-order linear partial differential equations, I (1976) (15)
An Invariant Criterion of Hypoellipticity (1961) (14)
Local solvability in a class of overdetermined systems of linear PDE (1991) (14)
ON THE THEORY OF LINEAR PARTIAL DIFFERENTIAL OPERATORS WITH ANALYTIC COEFFICIENTS (1969) (13)
A Treasure Trove of Geometry and Analysis : The Hyperquadric (2000) (13)
Aberrant CR Structures (1983) (13)
Uniqueness in certain first‐order nonlinear complex cauchy problems (1985) (12)
A remark on the poincaré lenma in analytic complexes with nondegenerate levi form (1982) (12)
Uniform estimates for a class of evolution equations (1994) (12)
Local exactness in a class of differential complexes (1997) (11)
Unique continuation inCR manifolds and in hypo-analytic structures (1988) (11)
Local Solvability in L 2 of First Order Linear PDEs (1970) (11)
Nowhere solvable homogeneous partial differential equations (1983) (10)
Applications of Distributions to Pde Theory (1970) (10)
On a question of Louis Nirenberg (2003) (9)
Necessary and sufficient conditions for the local solvability in hyperfunctions of a class of systems of complex vector fields (1995) (9)
Solution of cauchy problems modulo flat functions (1975) (9)
NONCOMMUTATIVE KdV HIERARCHY (2007) (8)
Analytic Pseudodifferential Operators (1980) (8)
On the Local Solvability for Top-Degree Forms in Hypo-Analytic Structures (1990) (8)
On the Local Solvability of Linear Partial Diferential Equations in Two Independent Variables (1970) (8)
On the characterization of the nonlinear Schrödinger hierarchy (2003) (7)
Approximation of solutions of linear PDE with analytic coefficients (1983) (7)
Review: Lars Hörmander, The analysis of linear partial differential operators., and Lars Hörmander, The analysis of linear partial differential operators. (1984) (7)
Fourier integral operators (1980) (7)
Hyper-differential operators in complex space (1969) (7)
Approximation and Representation of Solutions in Locally Integrable Structures with Boundary (1986) (5)
ON THE LOCAL SOLUBILITY OF LINEAR PARTIAL DIFFERENTIAL EQUATIONS (1974) (5)
Approximate solutions to Cauchy problems (1972) (5)
On the solvability of vector fields with real linear coefficients (2009) (5)
Second-order fuchsian elliptic equations and eigenvalue asymptotics (1975) (4)
Erratum to "Study of a Model in the Theory of Complexes of Pseudodifferential Operators" (1981) (4)
Winding numbers and the solvability condition $(\Psi )$ (1975) (4)
Parametrices for a class of schrodinger equations (2010) (4)
Applications of the Epimorphism Theorem to Partial Differential Equations with Constant Coefficients (1967) (3)
Integral representation of solutions of linear partial differential equations. II (1975) (3)
Pseudodifferential Operators of Type ( ρ , δ ) (1980) (3)
Boundary Values of Cohomology Classes as Hyperfunctions (1995) (2)
Special Topics and Applications (2019) (2)
Multidimensional Soliton Integrodifferential Systems (2009) (2)
Vanishing residue characterization of the sine-Gordon hierarchy (2004) (2)
The equation $\left( {\partial ^2 /\partial x^2 + \partial ^2 /\partial y^2 + \left( {x^2 + y^2 } \right)\left( {\partial /\partial t} \right)} \right)^2 u + \partial ^2 u/\partial t^2 = f$, with real coefficients, is “without solutions” (1962) (2)
Erratum: Aberrant CR structures (2013) (1)
Microlocal cohomology in hypo-analytic structures (1988) (1)
Ehrenpreis and the Fundamental Principle (2013) (1)
Book Review: The analysis of linear partial differential operators.@@@Book Review: The analysis of linear partial differential operators. (1984) (1)
Multidimensional complex analysis and partial differential equations : a collection of papers in honor of François Treves : proceedings of the Brazil-USA Conference on Multidimensional Complex Analysis and Partial Differential Equations, June 12-16, 1995, São Carlos, Brazil (1997) (1)
Overdetermined systems defined by complex vector fields (1986) (1)
Remarks on the integrability of first-order complex PDE (1992) (1)
On the solvability of planar complex linear vector fields (2012) (1)
ERRATA: "NONCOMMUTATIVE KdV HIERARCHY" (2008) (1)
Hyperfunctions on Hypo-Analytic Manifolds {AM - 136} (1994) (1)
Epimorphisms of Fréchet Spaces (1967) (0)
0.2 BACKGROUND ON SHEAF COHOMOLOGY (1995) (0)
Applications of the Epimorphism Theorem (1967) (0)
CHAPTER I. HYPERFUNCTION S IN A MAXIMAL HYPO-ANALYTIC STRUCTURE (1995) (0)
IX. FBI Transform in a Hypo-Analytic Manifold (1993) (0)
Usefulness of pseudodifferential and fourier integral operators in the study of the local solvability of linear partial differential equations (1974) (0)
INDEX OF TERMS (1995) (0)
VII. Examples of Nonintegrability and of Nonsolvability (1993) (0)
CHAPTER III. HYPERFUNCTION SOLUTIONS IN A HYPO-ANALYTIC MANIFOLD (1995) (0)
V. Involutive Structures With Boundary (1993) (0)
Local Cauchy problem for linear partial differential equations with analytic coefficients (1969) (0)
The Spectrum of a Locally Convex Space (1967) (0)
III. Hypo-Analytic Structures. Hypocomplex Manifolds (1993) (0)
II. Local Approximation and Representation in Locally Integrable Structures (1993) (0)
IV. Integrable Formal Structures. Normal Forms (1993) (0)
Complex symplectic geometry and solvability of systems of analytic vector fields (2020) (0)
The Quotable Pope (1982) (0)
Erratum to Intrinsic stratification of analytic varieties (2014) (0)
AN ABSTRACT NONLINEAR CAUCHY-KOVALEVSKA THEOREMO (2010) (0)
WINDING NUMBERS AND THE SOLVABILITY CONDITION (Ψ) (2008) (0)
VIII. Necessary Conditions for the Vanishing of the Cohomology. Local Solvability of a Single Vector Field (1993) (0)
INTEGRABILITY OF ELLIPTIC OVERDETERMINED SYSTEMS OF NONLINEAR FIRST-ORDER COMPLEX PDE (1996) (0)
On the local solvability of vector fields with critical points (2011) (0)
Non embeddable CR-structures (1981) (0)
I. Formally and Locally Integrable Structures. Basic Definitions (1993) (0)
On the local solvability of certain overdetermined systems of first-order linear PDE (1992) (0)
Existence and Approximation of Solutions to a Functional Equation (1967) (0)
CHAPTER IV. TRANSVERSAL SMOOTHNESS OF HYPERFUNCTION SOLUTIONS (1995) (0)
VI. Local Integraboity and Local Solvability in Elliptic Structures (1993) (0)
LOCAL PROPERTIES OF PSEUDODIFFERENTIAL OPERATORS WITH DOUBLE INVOLUTIVE CHARACTERISTICS (2016) (0)
On solvability of systems of vector fields (1992) (0)
Laurent Schwartz (1915–2002), Volume 50, Number 9 (2003) (0)
Vanishing residue characterization of the sine-Gordon hierarchy (2004) (0)
0.1 BACKGROUND ON SHEAVES OF VECTOR SPACES OVER A MANIFOLD (1995) (0)
Application to Boundary Problems for Elliptic Equations (1980) (0)
Bäcklund Algebra and the KdV Hierarchy (2005) (0)
CHAPTER II. MICROLOCAL THEORY OF HYPERFUNCTIONS ON A MAXIMALLY REAL SUBMANIFOLD OF COMPLEX SPACE (1995) (0)
Complex symplectic geometry and solvability of systems of analytic vector fields (2020) (0)
Book Review: Generalized functions and partial differential equations (1964) (0)
Translation into Duality (1967) (0)
Existence and Approximation of Solutions to a Linear Partial Differential Equation (1967) (0)
On the local holomorphic extension of CR functions (2019) (0)
The Natural Fibration over the Spectrum (1967) (0)
X. Involutive Systems of Nonlinear First-Order Differential Equations (1993) (0)

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What Schools Are Affiliated With François Trèves?

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