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## Trèves, François

Compute Distance To:
 Author ID: treves.francois Published as: Treves, F.; Treves, François; Trèves, F.; Trèves, François External Links: MGP · Wikidata · GND
 Documents Indexed: 171 Publications since 1956, including 16 Books Biographic References: 2 Publications
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#### Co-Authors

 118 single-authored 12 Baouendi, Mohammed Salah 8 Nirenberg, Louis 5 Cordaro, Paulo D. 5 Jacobowitz, Howard 3 Hanges, Nicholas 2 Ben-Artzi, Matania 2 Boutet de Monvel, Louis 2 Cardoso, Fernando 2 Chanillo, Sagun 2 Mendoza, Gerardo A. 2 Strauss, Monty J. 1 Atiyah, Michael Francis 1 Barros-Neto, José 1 Boman, Jan 1 Bony, Jean-Michel 1 Bove, Antonio 1 Broström, Sofia 1 Chang, Chin-Huei 1 Colombini, Ferruccio 1 Demailly, Jean-Pierre 1 DuChateau, Paul C. 1 Gilioli, Antonio 1 Gindikin, Simon Grigorevich 1 Goulaouic, Charles 1 Grubb, Gerd 1 Helgason, Sigurdur 1 Kiselman, Christer Oscar 1 Lerner, Nicolas 1 Pernazza, Ludovico 1 Pisier, Gilles 1 Rothschild, Linda Preiss 1 Sigurðsson, Ragnar 1 Steinberg, Stanly L. 1 Yor, Marc 1 Zachmanoglou, E. C. 1 Zerner, Martin
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#### Serials

 11 Communications on Pure and Applied Mathematics 7 American Journal of Mathematics 7 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Paris 5 Duke Mathematical Journal 5 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 4 Annales de l’Institut Fourier 4 Inventiones Mathematicae 4 Transactions of the American Mathematical Society 4 Communications in Partial Differential Equations 4 Annals of Mathematics. Second Series 3 Bulletin de la Société Mathématique de France 3 Journal of Differential Equations 3 Journal of Differential Geometry 3 Journal of Functional Analysis 3 Notices of the American Mathematical Society 3 Bulletin of the American Mathematical Society 2 Journal d’Analyse Mathématique 2 Arkiv för Matematik 2 Reviews in Mathematical Physics 2 Acta Mathematica 2 Hokkaido Mathematical Journal 2 Proceedings of the American Mathematical Society 2 Grundlehren der Mathematischen Wissenschaften 1 American Mathematical Monthly 1 Russian Mathematical Surveys 1 Uspekhi Matematicheskikh Nauk [N. S.] 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Indiana University Mathematics Journal 1 Mathematische Annalen 1 Memoirs of the American Mathematical Society 1 Pacific Journal of Mathematics 1 Journal of the American Mathematical Society 1 The Journal of Geometric Analysis 1 Bulletin of the American Mathematical Society. New Series 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Journées Équations aux Dérivées Partielles (Saint-Jean-de-Monts) 1 Selecta Mathematica. New Series 1 Mathematical Research Letters 1 Milan Journal of Mathematics 1 Journal of the Institute of Mathematics of Jussieu 1 Annals of Mathematics Studies 1 Proceedings of Symposia in Pure Mathematics 1 Anais da Academia Brasileira de Ciências
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#### Fields

 113 Partial differential equations (35-XX) 30 Several complex variables and analytic spaces (32-XX) 30 Global analysis, analysis on manifolds (58-XX) 14 Operator theory (47-XX) 9 Numerical analysis (65-XX) 8 Functional analysis (46-XX) 7 Dynamical systems and ergodic theory (37-XX) 3 History and biography (01-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 2 Difference and functional equations (39-XX) 2 Integral equations (45-XX) 1 General and overarching topics; collections (00-XX) 1 Field theory and polynomials (12-XX) 1 Real functions (26-XX) 1 Ordinary differential equations (34-XX) 1 Geometry (51-XX) 1 Differential geometry (53-XX)

#### Citations contained in zbMATH

122 Publications have been cited 2,516 times in 1,856 Documents Cited by Year
Topological vector spaces, distributions and kernels. Zbl 0171.10402
Trèves, François
1967
Introduction to pseudodifferential and Fourier integral operators. Vol. 1: Pseudodifferential operators. Vol. 2: Fourier integral operators. Zbl 0453.47027
Trèves, François
1980
Basic linear partial differential equations. Zbl 0305.35001
Trèves, François
1975
A property of the functions and distributions annihilated by a locally integrable system of complex vector fields. Zbl 0491.35036
Baouendi, Mohamed Salah; Trèves, François
1981
Hypo-analytic structures: local theory. Zbl 0787.35003
Treves, F.
1992
Solvability of a first order linear partial differential equation. Zbl 0117.06104
Nirenberg, Louis; Trèves, François
1963
Analytic hypo-ellipticity of a class of pseudodifferential operators with double characteristics and applications to the $$\overline\partial$$- Neumann problem. Zbl 0384.35055
Trèves, François
1978
On the analyticity of CR mappings. Zbl 0583.32021
Baouendi, Mohamed Salah; Jacobowitz, Howard; Trèves, François
1985
Linear partial differential equations with constant coefficients. Existence, approximation and regularity of solutions. Zbl 0164.40602
Trèves, François
1966
On local solvability of linear partial differential equations. I: Necessary conditions. Zbl 0191.39103
Nirenberg, Louis; Trèves, François
1970
CR structures with group action and extendability of CR functions. Zbl 0598.32019
Baouendi, Mohamed Salah; Rothschild, Linda Preiss; Trèves, François
1985
Microlocal hypo-analyticity and extension of CR functions. Zbl 0575.32019
Baouendi, Mohamed Salah; Chang, C. H.; Trèves, François
1983
On local solvability of linear partial differential equations. Part II: Sufficient conditions. Zbl 0208.35902
Nirenberg, Louis; Trèves, François
1970
Topological vector spaces, distributions and kernels. Unabridged republication of the 1967 original. Zbl 1111.46001
Trèves, François
2006
Ovcyannikov theorem and hyperdifferential operators. Zbl 0205.39202
Trèves, François
1968
Locally convex spaces and linear partial differential equations. Zbl 0152.32104
Trèves, François
1967
Non-realizable CR structures. Zbl 0487.32015
Jacobowitz, Howard; Trèves, François
1982
A new method of proof of the subelliptic estimates. Zbl 0206.11401
Trèves, François
1971
About the holomorphic extension of CR functions on real hypersurfaces in complex space. Zbl 0564.32011
Baouendi, Mohamed Salah; Trèves, François
1984
On a class of pseudodifferential operators with double characteristics. Zbl 0281.35083
Boutet de Monvel, Louis; Trèves, François
1974
Study of a model in the theory of complexes of pseudodifferential operators. Zbl 0354.35067
Trèves, François
1976
An example in the solvability theory of linear PDE’s. Zbl 0308.35022
Gilioli, Antonio; Trèves, François
1974
Hypo-analytic structures. Zbl 0565.35079
Trèves, François
1984
Rélations de domination entre opérateurs différentieles. Zbl 0178.50201
Trèves, François
1959
Symplectic geometry and analytic hypo-ellipticity. Zbl 0938.35038
Treves, François
1999
An abstract nonlinear Cauchy-Kovalevska theorem. Zbl 0199.15803
Trèves, François
1970
First-order linear PDE’s and uniqueness in the Cauchy problem. Zbl 0266.35009
Strauss, Monty J.; Trèves, François
1974
On the local solvability and the local integrability of systems of vector fields. Zbl 0534.35009
Trèves, François
1983
A microlocal version of Bochner’s tube theorem. Zbl 0505.32013
Baouendi, Mohamed Salah; Trèves, François
1982
Analytic-hypoelliptic partial differential equations of principal type. Zbl 0222.35014
Trèves, François
1971
Concatenations of second-order evolution equations applied to local solvability and hypoellipticity. Zbl 0266.35060
Trèves, François
1973
On the Gevrey hypo-ellipticity of sums of squares of vector fields. Zbl 1073.35067
Bove, Antonio; Treves, François
2004
Propagation of holomorphic extendability of CR functions. Zbl 0494.32004
Hanges, Nicholas; Trèves, François
1983
Linear partial differential equations. Zbl 0209.12001
Trèves, F.
1970
Approximation and representation of functions and distributions annihilated by a system of complex vector fields. Zbl 0515.58030
Trèves, François
1981
Hyperfunctions on hypo-analytic manifolds. Zbl 0817.32001
Cordaro, Paulo D.; Treves, François
1994
Remarks about certain first-order linear PDE in two variables. Zbl 0519.35008
Trèves, François
1980
A necessary condition of local solvability for pseudo-differential equations with double characteristics. Zbl 0273.35058
Cardoso, Fernando; Trèves, François
1974
Pseudo-Fokker Planck equations and hyperdifferential operators. Zbl 0199.16401
Steinberg, Stanly; Trèves, François
1970
Homology and cohomology in hypo-analytic structures of the hypersurfaces type. Zbl 0724.32009
Cordaro, Paulo; Treves, François
1991
Hypoelliptic partial differential equations of principal type. Sufficient conditions and necessary conditions. Zbl 0234.35019
Trèves, François
1971
Fundamental solutions of linear partial differential equations with constant coefficients depending on parameters. Zbl 0121.32201
Trèves, François
1962
On a class of systems of pseudodifferential equations with double characteristics. Zbl 0286.35065
Boutet de Monvel, Louis; Trèves, François
1974
On the analyticity of solutions of sums of squares of vector fields. Zbl 1214.35012
Treves, François
2006
Remarks about certain first-order linear PDE in two variables. Zbl 0523.35012
Trèves, François
1980
Discrete phenomena in uniqueness in the Cauchy problem. Zbl 0297.35048
Trèves, François
1974
Differential polynomials and decay at infinity. Zbl 0091.11303
Trèves, François
1960
Opérateurs différentiels hypoelliptiques. Zbl 0197.36602
Trèves, François
1959
On the analyticity of solutions of first-order nonlinear PDE. Zbl 0758.35018
Hanges, Nicholas; Treves, François
1992
Local solvability in a class of overdetermined systems of linear PDE. Zbl 0794.35002
Mendoza, G. A.; Treves, F.
1991
Homotopy formulas in the tangential Cauchy-Riemann complex. Zbl 0707.35105
Trèves, François
1990
A link between solvability of pseudodifferential equations and uniqueness in the Cauchy problem. Zbl 0274.35054
Trèves, François
1972
Un théorème sur les équations aux derivées partielles à coefficients constants dépendant de paramètres. Zbl 0113.30901
Trèves, François
1962
Flat solutions and singular solutions of homogeneous linear partial differential equations with analytic coefficients. Zbl 0418.35003
Baouendi, Mohamed Salah; Trèves, François; Zachmanoglou, E. C.
1979
Parametrices for a class of Schrödinger equations. Zbl 0832.35160
Treves, François
1995
Uniqueness in certain first-order nonlinear complex Cauchy problems. Zbl 0609.35019
Baouendi, M. S.; Goulaouic, C.; Treves, F.
1985
A remark on the Poincaré lemma in analytic complexes with nondegenerate Levi form. Zbl 0535.32005
Trèves, François
1982
An algebraic characterization of the Korteweg-de Vries hierarchy. Zbl 1028.37040
Treves, François
2001
A treasure trove of geometry and analysis: The hyperquadric. Zbl 0986.51038
Treves, François
2000
Local exactness in a class of differential complexes. Zbl 0867.35005
Chanillo, Sagun; Treves, François
1997
On the local solvability for top-degree forms in hypo-analytic structures. Zbl 0763.35022
Treves, François
1990
Aberrant CR structures. Zbl 0564.32010
Jacobowitz, Howard; Trèves, François
1983
A local constancy principle for the solutions of certain overdetermined systems of first-order linear partial differential equations. Zbl 0475.35027
Baouendi, Mohamed Salah; Trèves, François
1981
Local solvability in $$L^2$$ of first order linear PDEs. Zbl 0236.35040
Trèves, François
1970
Problèmes de Cauchy et problèmes mixtes en théorie des distributions. Zbl 0198.43504
Trèves, François
1959
On the solvability of vector fields with real linear coefficients. Zbl 1194.35101
Treves, François
2009
On a question of Louis Nirenberg. Zbl 1061.35005
Treves, François
2003
On the lowest eigenvalue of the Hodge Laplacian. Zbl 0874.58087
Chanillo, Sagun; Treves, François
1997
Necessary and sufficient conditions for the local solvability in hyperfunctions of a class of systems of complex vector fields. Zbl 0834.35004
Cordaro, Paulo D.; Treves, François
1995
Uniform estimates for a class of evolution equations. Zbl 0813.35143
Ben-Artzi, Matania; Treves, François
1994
Unique continuation in CR manifolds and in hypo-analytic structures. Zbl 0645.32010
Baouendi, M. S.; Treves, F.
1988
On the theory of linear partial differential operators with analytic coefficients. Zbl 0187.03201
Trèves, François
1969
An invariant criterion of hypoellipticity. Zbl 0114.05201
Trèves, François
1961
Integral representation of solutions of first-order linear partial differential equations. I. Zbl 0317.35017
Trèves, François
1976
Approximate solutions to Cauchy problems. Zbl 0233.35013
Trèves, François
1972
An abstract Cauchy-Kovalevska theorem in scales of Gevrey classes. Zbl 0226.35003
Duchateau, Paul; Trèves, François
1971
Hypoelliptic partial differential equations of principal type with analytic coefficients. Zbl 0192.44502
Trèves, François
1970
Solution élémentaire d’équations aux dérivées partielles dépendant d’un paramètre. Zbl 0071.09001
Trèves, François
1956
On the solvability and hypoellipticity of complex vector fields. Zbl 1235.35004
Treves, François
2011
Basic linear partial differential equations. Reprint of the 1975 original. Zbl 1115.35006
Trèves, François
2006
On the characterization of the nonlinear Schrödinger hierarchy. Zbl 1059.37058
Treves, François
2003
Nowhere solvable homogeneous partial differential equations. Zbl 0527.35015
Jacobowitz, Howard; Trèves, François
1983
Solution of Cauchy problems modulo flat functions. Zbl 0337.35069
Trèves, François
1976
On the local solvability of linear partial differential equations in two independent variables. Zbl 0236.35039
Trèves, François
1970
On local solvability of linear partial differential equations. Zbl 0236.35038
Trèves, François
1970
Équations aux dérivées partielles inhomogènes à coefficients constants dépendant de paramètres. Zbl 0147.08302
Trèves, François
1963
Differential equations in Hilbert spaces. Zbl 0192.23901
Trèves, François
1961
Noncommutativ KdV hierarchy. Zbl 1144.37029
Treves, François
2007
Solvability and nonsolvability of second-order evolution equations. Zbl 1050.35040
Colombini, Ferruccio; Pernazza, Ludovico; Treves, François
2003
Local homotopy formulas for the tangential Cauchy-Riemann equations. Zbl 0799.32016
Treves, F.
1992
Microlocal cohomology in hypo-analytic structures. Zbl 0664.58038
Treves, F.
1988
Approximation of solutions of linear PDE with analytic coefficients. Zbl 0552.35009
Baouendi, Mohamed Salah; Trèves, François
1983
Erratum to ”Study of a model in the theory of complexes of pseudodifferential operators”. Zbl 0459.35100
Trèves, François
1981
Integral representation of solutions of linear partial differential equations. II. Zbl 0329.35011
Trèves, François
1976
Winding numbers and the solvability condition ($$\psi$$). Zbl 0298.35054
Trèves, François
1975
Hyper-differential operators in complex space. Zbl 0219.58009
Trèves, François
1969
Conditions suffisantes de resolubilite locale des équations aux dérivées partielles linéaires. Zbl 0181.10503
Nirenberg, Louis; Trèves, François
1969
Domination et opérateurs paraboliques. Zbl 0080.30405
Trèves, François
1958
Domination et problèmes aux limites de type mixte. Zbl 0079.33202
Trèves, François
1957
Erratum: Aberrant CR structures. Zbl 1277.32043
Jacobowitz, Howard; Treves, François
2013
Erratum: Aberrant CR structures. Zbl 1277.32043
Jacobowitz, Howard; Treves, François
2013
On the solvability of planar complex linear vector fields. Zbl 1278.35005
Treves, François
2012
On the solvability and hypoellipticity of complex vector fields. Zbl 1235.35004
Treves, François
2011
On the solvability of vector fields with real linear coefficients. Zbl 1194.35101
Treves, François
2009
Errata. Noncommutative KdV hierarchy. Zbl 1148.37312
Treves, François
2008
Noncommutativ KdV hierarchy. Zbl 1144.37029
Treves, François
2007
Topological vector spaces, distributions and kernels. Unabridged republication of the 1967 original. Zbl 1111.46001
Trèves, François
2006
On the analyticity of solutions of sums of squares of vector fields. Zbl 1214.35012
Treves, François
2006
Basic linear partial differential equations. Reprint of the 1975 original. Zbl 1115.35006
Trèves, François
2006
On the Gevrey hypo-ellipticity of sums of squares of vector fields. Zbl 1073.35067
Bove, Antonio; Treves, François
2004
On a question of Louis Nirenberg. Zbl 1061.35005
Treves, François
2003
On the characterization of the nonlinear Schrödinger hierarchy. Zbl 1059.37058
Treves, François
2003
Solvability and nonsolvability of second-order evolution equations. Zbl 1050.35040
Colombini, Ferruccio; Pernazza, Ludovico; Treves, François
2003
Differential algebra and completely integrable systems. Zbl 1187.37100
Treves, François
2003
Laurent Schwartz (1915–2002). Zbl 1159.01350
Treves, François; Pisier, Gilles; Yor, Marc
2003
An algebraic characterization of the Korteweg-de Vries hierarchy. Zbl 1028.37040
Treves, François
2001
A treasure trove of geometry and analysis: The hyperquadric. Zbl 0986.51038
Treves, François
2000
Symplectic geometry and analytic hypo-ellipticity. Zbl 0938.35038
Treves, François
1999
Local exactness in a class of differential complexes. Zbl 0867.35005
Chanillo, Sagun; Treves, François
1997
On the lowest eigenvalue of the Hodge Laplacian. Zbl 0874.58087
Chanillo, Sagun; Treves, François
1997
Parametrices for a class of Schrödinger equations. Zbl 0832.35160
Treves, François
1995
Necessary and sufficient conditions for the local solvability in hyperfunctions of a class of systems of complex vector fields. Zbl 0834.35004
Cordaro, Paulo D.; Treves, François
1995
Boundary values of cohomology classes as hyperfunctions. Zbl 0847.32007
Cordaro, Paulo D.; Gindikin, Simon; Treves, François
1995
Hyperfunctions on hypo-analytic manifolds. Zbl 0817.32001
Cordaro, Paulo D.; Treves, François
1994
Uniform estimates for a class of evolution equations. Zbl 0813.35143
Ben-Artzi, Matania; Treves, François
1994
Hypo-analytic structures: local theory. Zbl 0787.35003
Treves, F.
1992
On the analyticity of solutions of first-order nonlinear PDE. Zbl 0758.35018
Hanges, Nicholas; Treves, François
1992
Local homotopy formulas for the tangential Cauchy-Riemann equations. Zbl 0799.32016
Treves, F.
1992
Homology and cohomology in hypo-analytic structures of the hypersurfaces type. Zbl 0724.32009
Cordaro, Paulo; Treves, François
1991
Local solvability in a class of overdetermined systems of linear PDE. Zbl 0794.35002
Mendoza, G. A.; Treves, F.
1991
Homotopy formulas in the tangential Cauchy-Riemann complex. Zbl 0707.35105
Trèves, François
1990
On the local solvability for top-degree forms in hypo-analytic structures. Zbl 0763.35022
Treves, François
1990
Unique continuation in CR manifolds and in hypo-analytic structures. Zbl 0645.32010
Baouendi, M. S.; Treves, F.
1988
Microlocal cohomology in hypo-analytic structures. Zbl 0664.58038
Treves, F.
1988
On the analyticity of CR mappings. Zbl 0583.32021
Baouendi, Mohamed Salah; Jacobowitz, Howard; Trèves, François
1985
CR structures with group action and extendability of CR functions. Zbl 0598.32019
Baouendi, Mohamed Salah; Rothschild, Linda Preiss; Trèves, François
1985
Uniqueness in certain first-order nonlinear complex Cauchy problems. Zbl 0609.35019
Baouendi, M. S.; Goulaouic, C.; Treves, F.
1985
About the holomorphic extension of CR functions on real hypersurfaces in complex space. Zbl 0564.32011
Baouendi, Mohamed Salah; Trèves, François
1984
Hypo-analytic structures. Zbl 0565.35079
Trèves, François
1984
Introduction to pseudodifferential and Fourier integral operators. Vol. 1: Pseudodifferential operators. Vol. 2: Fourier integral operators. (Vvedenie v teoriyu psevdodifferentsial’nykh operatorov i integral’nykh opratorov Fur’e. T. 1: Psevdodifferentsial’nye operatory. T. 2: Integral’nye operatory Fur’e). Transl. from the English. Zbl 0547.47031
Trèves, François
1984
Microlocal hypo-analyticity and extension of CR functions. Zbl 0575.32019
Baouendi, Mohamed Salah; Chang, C. H.; Trèves, François
1983
On the local solvability and the local integrability of systems of vector fields. Zbl 0534.35009
Trèves, François
1983
Propagation of holomorphic extendability of CR functions. Zbl 0494.32004
Hanges, Nicholas; Trèves, François
1983
Aberrant CR structures. Zbl 0564.32010
Jacobowitz, Howard; Trèves, François
1983
Nowhere solvable homogeneous partial differential equations. Zbl 0527.35015
Jacobowitz, Howard; Trèves, François
1983
Approximation of solutions of linear PDE with analytic coefficients. Zbl 0552.35009
Baouendi, Mohamed Salah; Trèves, François
1983
Non-realizable CR structures. Zbl 0487.32015
Jacobowitz, Howard; Trèves, François
1982
A microlocal version of Bochner’s tube theorem. Zbl 0505.32013
Baouendi, Mohamed Salah; Trèves, François
1982
A remark on the Poincaré lemma in analytic complexes with nondegenerate Levi form. Zbl 0535.32005
Trèves, François
1982
Lectures on linear PDEs. Zbl 0531.35002
Trèves, François
1982
A property of the functions and distributions annihilated by a locally integrable system of complex vector fields. Zbl 0491.35036
Baouendi, Mohamed Salah; Trèves, François
1981
Approximation and representation of functions and distributions annihilated by a system of complex vector fields. Zbl 0515.58030
Trèves, François
1981
A local constancy principle for the solutions of certain overdetermined systems of first-order linear partial differential equations. Zbl 0475.35027
Baouendi, Mohamed Salah; Trèves, François
1981
Erratum to ”Study of a model in the theory of complexes of pseudodifferential operators”. Zbl 0459.35100
Trèves, François
1981
Introduction to pseudodifferential and Fourier integral operators. Vol. 1: Pseudodifferential operators. Vol. 2: Fourier integral operators. Zbl 0453.47027
Trèves, François
1980
Remarks about certain first-order linear PDE in two variables. Zbl 0519.35008
Trèves, François
1980
Remarks about certain first-order linear PDE in two variables. Zbl 0523.35012
Trèves, François
1980
Flat solutions and singular solutions of homogeneous linear partial differential equations with analytic coefficients. Zbl 0418.35003
Baouendi, Mohamed Salah; Trèves, François; Zachmanoglou, E. C.
1979
Analytic hypo-ellipticity of a class of pseudodifferential operators with double characteristics and applications to the $$\overline\partial$$- Neumann problem. Zbl 0384.35055
Trèves, François
1978
Boundary value problems for elliptic equations. Zbl 0501.58001
Trèves, François
1978
Study of a model in the theory of complexes of pseudodifferential operators. Zbl 0354.35067
Trèves, François
1976
Integral representation of solutions of first-order linear partial differential equations. I. Zbl 0317.35017
Trèves, François
1976
Solution of Cauchy problems modulo flat functions. Zbl 0337.35069
Trèves, François
1976
Integral representation of solutions of linear partial differential equations. II. Zbl 0329.35011
Trèves, François
1976
Basic linear partial differential equations. Zbl 0305.35001
Trèves, François
1975
Winding numbers and the solvability condition ($$\psi$$). Zbl 0298.35054
Trèves, François
1975
Noyaux élémentaires d’équations aux dérivées partielles du premier ordre. Zbl 0311.35015
Trèves, François
1975
Solution of Cauchy problems modulo flat functions. Zbl 0308.35083
Trèves, François
1975
On subelliptic pseudo-differential operators. Zbl 0305.35087
Cardoso, Fernando; Trèves, François
1975
On a class of pseudodifferential operators with double characteristics. Zbl 0281.35083
Boutet de Monvel, Louis; Trèves, François
1974
An example in the solvability theory of linear PDE’s. Zbl 0308.35022
Gilioli, Antonio; Trèves, François
1974
First-order linear PDE’s and uniqueness in the Cauchy problem. Zbl 0266.35009
Strauss, Monty J.; Trèves, François
1974
A necessary condition of local solvability for pseudo-differential equations with double characteristics. Zbl 0273.35058
Cardoso, Fernando; Trèves, François
1974
On a class of systems of pseudodifferential equations with double characteristics. Zbl 0286.35065
Boutet de Monvel, Louis; Trèves, François
1974
Discrete phenomena in uniqueness in the Cauchy problem. Zbl 0297.35048
Trèves, François
1974
On the local solubility of linear partial differential equations. Zbl 0311.35078
Trèves, François
1974
On the local solvability of linear partial differential equations. Zbl 0303.35071
Trèves, François
1974
Concatenations of second-order evolution equations applied to local solvability and hypoellipticity. Zbl 0266.35060
Trèves, François
1973
A link between solvability of pseudodifferential equations and uniqueness in the Cauchy problem. Zbl 0274.35054
Trèves, François
1972
Approximate solutions to Cauchy problems. Zbl 0233.35013
Trèves, François
1972
A new method of proof of the subelliptic estimates. Zbl 0206.11401
Trèves, François
1971
Analytic-hypoelliptic partial differential equations of principal type. Zbl 0222.35014
Trèves, François
1971
Hypoelliptic partial differential equations of principal type. Sufficient conditions and necessary conditions. Zbl 0234.35019
Trèves, François
1971
An abstract Cauchy-Kovalevska theorem in scales of Gevrey classes. Zbl 0226.35003
Duchateau, Paul; Trèves, François
1971
On local solvability of linear partial differential equations. I: Necessary conditions. Zbl 0191.39103
Nirenberg, Louis; Trèves, François
1970
On local solvability of linear partial differential equations. Part II: Sufficient conditions. Zbl 0208.35902
Nirenberg, Louis; Trèves, François
1970
An abstract nonlinear Cauchy-Kovalevska theorem. Zbl 0199.15803
Trèves, François
1970
Linear partial differential equations. Zbl 0209.12001
Trèves, F.
1970
Pseudo-Fokker Planck equations and hyperdifferential operators. Zbl 0199.16401
Steinberg, Stanly; Trèves, François
1970
Local solvability in $$L^2$$ of first order linear PDEs. Zbl 0236.35040
Trèves, François
1970
Hypoelliptic partial differential equations of principal type with analytic coefficients. Zbl 0192.44502
Trèves, François
1970
On the local solvability of linear partial differential equations in two independent variables. Zbl 0236.35039
Trèves, François
1970
On local solvability of linear partial differential equations. Zbl 0236.35038
Trèves, François
1970
Applications of distributions to PDE theory. Zbl 0211.12703
Trèves, François
1970
On the theory of linear partial differential operators with analytic coefficients. Zbl 0187.03201
Trèves, François
1969
Hyper-differential operators in complex space. Zbl 0219.58009
Trèves, François
1969
Conditions suffisantes de resolubilite locale des équations aux dérivées partielles linéaires. Zbl 0181.10503
Nirenberg, Louis; Trèves, François
1969
Conditions necessaires de resolubilite locale des équations pseudo- différentielles. Zbl 0181.10502
Nirenberg, Louis; Trèves, François
1969
Ovcyannikov theorem and hyperdifferential operators. Zbl 0205.39202
Trèves, François
1968
Topological vector spaces, distributions and kernels. Zbl 0171.10402
Trèves, François
1967
...and 22 more Documents
all top 5

#### Cited by 1,761 Authors

 43 Trèves, François 26 Bergamasco, Adalberto Panobianco 26 Berhanu, Shiferaw 24 Hounie, J. 23 Baouendi, Mohammed Salah 23 Meziani, Abdelhamid 21 Cordaro, Paulo D. 21 Rothschild, Linda Preiss 19 Tartakoff, David S. 18 Hounie, Jorge G. 18 Petronilho, Gerson 16 Bove, Antonio 15 Himonas, A. Alexandrou 14 Dattori da Silva, Paulo L. 14 Derridj, Makhlouf 13 Vindas, Jasson 13 Zani, Sérgio Luís 12 Hanges, Nicholas 12 Hoepfner, Gustavo 12 Mughetti, Marco 11 Helffer, Bernard 11 Nicola, Fabio 11 Quinto, Eric Todd 10 Hill, C. Denson 10 Rodino, Luigi 9 Baracco, Luca 9 Estrada, Ricardo 9 Hsiao, Chin-Yu 9 Lerner, Nicolas 9 Nacinovich, Mauro 9 Pilipović, Stevan 9 Schmalz, Gerd 8 Hörmander, Lars Valter 8 Shaw, Mei-Chi 8 Wenston, Paul R. 8 Zaitsev, Dmitri 8 Zampieri, Giuseppe 7 Barostichi, Rafael F. 7 Bratti, Giuliano 7 Cardoso, Fernando 7 de Hoop, Maarten V. 7 Ebenfelt, Peter 7 Ezhov, Vladimir Vladimirovich 7 Kannai, Yakar 7 Kirilov, Alexandre 7 Lamel, Bernhard 7 Li, Xiaoshan 7 Menikoff, A. 7 Parmeggiani, Alberto 7 Persson, Jan A. 7 Steinberg, Stanly L. 7 Uhlmann, Gunther Alberto 6 Antoniou, Ioannis E. 6 Bell, Steven R. 6 Boggess, Albert 6 Christ, Michael 6 Cordero, Elena 6 Forstnerič, Franc 6 Jørgensen, Palle E. T. 6 Mendoza, Gerardo A. 6 Mir, Nordine 6 Müller, Detlef 6 Ricci, Fulvio 6 Stefanov, Plamen D. 6 Wagner, Peter 5 Adwan, Ziad 5 Albanese, Angela Anna 5 Albano, Paolo 5 Alpay, Daniel Aron 5 Betancor Perez, Jorge Juan 5 Carvalho dos Santos, L. A. 5 Cohoon, David K. 5 Colombini, Ferruccio 5 da Silva, Evandro Raimundo 5 Debrouwere, Andreas 5 Domański, Pawel Jan 5 Fageot, Julien 5 Fonseca-Mora, Christian A. 5 Merker, Joël 5 Oliaro, Alessandro 5 O’Regan, Donal 5 Pinchuk, Sergey 5 Popivanov, Petar Radoev 5 Rea, Claudio 5 Roberts, Gary B. 5 Saneva, Katerina Hadzi-Velkova 5 Sjöstrand, Johannes 5 Straube, Emil J. 5 Zelditch, Steve 5 Zugliani, Giuliano Angelo 4 Andreotti, Aldo 4 Atanasova, Sanja 4 Barbagallo, Annamaria 4 Beals, Richard W. 4 Campañá, Carlos 4 Chinni, Gregorio 4 Corwin, Lawrence J. 4 De Medeira, Cleber 4 Dwilewicz, Roman J. 4 Esposito, Vincenzo ...and 1,661 more Authors
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#### Cited in 277 Serials

 121 Journal of Mathematical Analysis and Applications 102 Transactions of the American Mathematical Society 90 Journal of Functional Analysis 88 Journal of Differential Equations 74 Communications in Partial Differential Equations 62 Proceedings of the American Mathematical Society 52 Duke Mathematical Journal 51 Mathematische Annalen 49 Annales de l’Institut Fourier 47 The Journal of Geometric Analysis 42 Annali di Matematica Pura ed Applicata. Serie Quarta 37 Advances in Mathematics 33 Mathematische Zeitschrift 24 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 24 Publications of the Research Institute for Mathematical Sciences, Kyoto University 23 Inventiones Mathematicae 22 Arkiv för Matematik 21 Journal of Pseudo-Differential Operators and Applications 19 Communications in Mathematical Physics 19 Mathematische Nachrichten 18 Rendiconti del Seminario Matematico della Università di Padova 17 Nonlinear Analysis. Theory, Methods & Applications 16 Journal d’Analyse Mathématique 15 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 14 Communications on Pure and Applied Mathematics 14 Mathematical Methods in the Applied Sciences 13 The Journal of Fourier Analysis and Applications 13 Bulletin of the American Mathematical Society 12 Bulletin de la Société Mathématique de France 12 Manuscripta Mathematica 12 Bulletin of the American Mathematical Society. New Series 11 Journal of Geometry and Physics 11 Acta Mathematica 11 Integral Equations and Operator Theory 11 Proceedings of the Japan Academy 10 Archive for Rational Mechanics and Analysis 10 Mathematical Notes 10 Tohoku Mathematical Journal. Second Series 10 Journal de Mathématiques Pures et Appliquées. Neuvième Série 9 Proceedings of the Japan Academy. Series A 9 Journal of Mathematical Sciences (New York) 9 Annali della Scuola Normale Superiore di Pisa. Scienze Fisiche e Matematiche. III. Ser 8 Journal of Mathematical Physics 8 Letters in Mathematical Physics 8 Reports on Mathematical Physics 8 Wave Motion 8 Memoirs of the American Mathematical Society 8 Monatshefte für Mathematik 8 Nagoya Mathematical Journal 8 Journal of the American Mathematical Society 8 Stochastic Processes and their Applications 8 Indagationes Mathematicae. New Series 7 Inverse Problems 7 Israel Journal of Mathematics 7 Chaos, Solitons and Fractals 7 Journal of Approximation Theory 7 Bulletin des Sciences Mathématiques 6 Applicable Analysis 6 Rocky Mountain Journal of Mathematics 6 Compositio Mathematica 6 International Journal of Mathematics 6 Comptes Rendus. Mathématique. Académie des Sciences, Paris 6 Inverse Problems and Imaging 5 Computers & Mathematics with Applications 5 Mathematics of Computation 5 Reviews in Mathematical Physics 5 Michigan Mathematical Journal 5 Results in Mathematics 5 Acta Applicandae Mathematicae 5 Annals of Global Analysis and Geometry 5 Journal of Theoretical Probability 5 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 5 Applied and Computational Harmonic Analysis 5 Discrete and Continuous Dynamical Systems 4 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 4 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section A. Physique Théorique 4 Archiv der Mathematik 4 Boletim da Sociedade Brasileira de Matemática 4 Czechoslovak Mathematical Journal 4 Journal of Computational and Applied Mathematics 4 Journal für die Reine und Angewandte Mathematik 4 Zeitschrift für Analysis und ihre Anwendungen 4 Mathematical and Computer Modelling 4 Differential Geometry and its Applications 4 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 4 Annales Henri Poincaré 4 Differential Equations 4 Journal of the Institute of Mathematics of Jussieu 4 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 4 Bulletin de la Société Mathématique de France. Supplément. Mémoires 4 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 3 Applied Mathematics and Computation 3 Applied Mathematics and Optimization 3 Functional Analysis and its Applications 3 Journal of Mathematical Economics 3 Journal of Soviet Mathematics 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Rendiconti del Circolo Matemàtico di Palermo. Serie II 3 Siberian Mathematical Journal 3 Annales de la Faculté des Sciences de Toulouse. Série V. Mathématiques ...and 177 more Serials
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#### Cited in 59 Fields

 917 Partial differential equations (35-XX) 334 Functional analysis (46-XX) 320 Several complex variables and analytic spaces (32-XX) 217 Operator theory (47-XX) 199 Global analysis, analysis on manifolds (58-XX) 111 Topological groups, Lie groups (22-XX) 100 Harmonic analysis on Euclidean spaces (42-XX) 92 Differential geometry (53-XX) 83 Numerical analysis (65-XX) 79 Probability theory and stochastic processes (60-XX) 73 Quantum theory (81-XX) 66 Abstract harmonic analysis (43-XX) 57 Integral transforms, operational calculus (44-XX) 43 Ordinary differential equations (34-XX) 40 Functions of a complex variable (30-XX) 37 Fluid mechanics (76-XX) 34 Dynamical systems and ergodic theory (37-XX) 33 Mechanics of deformable solids (74-XX) 28 Approximations and expansions (41-XX) 26 Calculus of variations and optimal control; optimization (49-XX) 24 Systems theory; control (93-XX) 23 Real functions (26-XX) 22 Potential theory (31-XX) 21 Measure and integration (28-XX) 21 Integral equations (45-XX) 21 Statistical mechanics, structure of matter (82-XX) 20 Nonassociative rings and algebras (17-XX) 19 Optics, electromagnetic theory (78-XX) 18 Manifolds and cell complexes (57-XX) 17 Algebraic geometry (14-XX) 17 Associative rings and algebras (16-XX) 17 Special functions (33-XX) 14 Number theory (11-XX) 14 General topology (54-XX) 13 Relativity and gravitational theory (83-XX) 13 Biology and other natural sciences (92-XX) 10 Geophysics (86-XX) 9 $$K$$-theory (19-XX) 9 Information and communication theory, circuits (94-XX) 8 Mechanics of particles and systems (70-XX) 8 Classical thermodynamics, heat transfer (80-XX) 8 Operations research, mathematical programming (90-XX) 7 Commutative algebra (13-XX) 7 Convex and discrete geometry (52-XX) 6 History and biography (01-XX) 6 Category theory; homological algebra (18-XX) 6 Algebraic topology (55-XX) 5 Group theory and generalizations (20-XX) 5 Computer science (68-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Mathematical logic and foundations (03-XX) 4 Difference and functional equations (39-XX) 4 Sequences, series, summability (40-XX) 4 Geometry (51-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 2 Combinatorics (05-XX) 2 Field theory and polynomials (12-XX) 2 Statistics (62-XX) 1 Astronomy and astrophysics (85-XX)

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