Boutet de Monvel, L. 1941
Overview
Works:  49 works in 131 publications in 2 languages and 1,677 library holdings 

Genres:  Conference papers and proceedings Bibliography 
Roles:  Author, Editor, Thesis advisor, Honoree, Opponent, Publishing director, Other, 956 
Classifications:  QA329.2, 515.7246 
Publication Timeline
.
Most widely held works by
L Boutet de Monvel
The spectral theory of Toeplitz operators by
L Boutet de Monvel(
Book
)
18 editions published between 1981 and 2016 in English and held by 463 WorldCat member libraries worldwide
The theory of Toeplitz operators has come to resemble more and more in recent years the classical theory of pseudodifferential operators. For instance, Toeplitz operators possess a symbolic calculus analogous to the usual symbolic calculus, and by symbolic means one can construct parametrices for Toeplitz operators and create new Toeplitz operators out of old ones by functional operations. If P is a selfadjoint pseudodifferential operator on a compact manifold with an elliptic symbol that is of order greater than zero, then it has a discrete spectrum. Also, it is well known that the asymptotic behavior of its eigenvalues is closely related to the behavior of the bicharacteristic flow generated by its symbol. It is natural to ask if similar results are true for Toeplitz operators. In the course of answering this question, the authors explore in depth the analogies between Toeplitz operators and pseudodifferential operators and show that both can be viewed as the "quantized" objects associated with functions on compact contact manifolds
18 editions published between 1981 and 2016 in English and held by 463 WorldCat member libraries worldwide
The theory of Toeplitz operators has come to resemble more and more in recent years the classical theory of pseudodifferential operators. For instance, Toeplitz operators possess a symbolic calculus analogous to the usual symbolic calculus, and by symbolic means one can construct parametrices for Toeplitz operators and create new Toeplitz operators out of old ones by functional operations. If P is a selfadjoint pseudodifferential operator on a compact manifold with an elliptic symbol that is of order greater than zero, then it has a discrete spectrum. Also, it is well known that the asymptotic behavior of its eigenvalues is closely related to the behavior of the bicharacteristic flow generated by its symbol. It is natural to ask if similar results are true for Toeplitz operators. In the course of answering this question, the authors explore in depth the analogies between Toeplitz operators and pseudodifferential operators and show that both can be viewed as the "quantized" objects associated with functions on compact contact manifolds
Dmodules, representation theory, and quantum groups : lectures given at the 2nd session of the Centro internazionale matematico
estivo (C.I.M.E.) held in Venezia, Italy, June 1220, 1992 by
L Boutet de Monvel(
Book
)
17 editions published between 1993 and 2008 in English and Undetermined and held by 319 WorldCat member libraries worldwide
CONTENTS: L. Boutet de Monvel: Indice de systemes differentiels. C. De Concini, C. Procesi: Quantum groups. P. Schapira, J.P. Schneiders: Index theorems for Rconstructible sheaves and for Dmodules. N. Berline, M. Vergne: The equivariant Chern character and index of Ginvariant operators
17 editions published between 1993 and 2008 in English and Undetermined and held by 319 WorldCat member libraries worldwide
CONTENTS: L. Boutet de Monvel: Indice de systemes differentiels. C. De Concini, C. Procesi: Quantum groups. P. Schapira, J.P. Schneiders: Index theorems for Rconstructible sheaves and for Dmodules. N. Berline, M. Vergne: The equivariant Chern character and index of Ginvariant operators
Mathématique et physique : séminaire de l'Ecole normale supérieure, 19791982 by Louis De Monvel(
Book
)
16 editions published in 1983 in 3 languages and held by 253 WorldCat member libraries worldwide
16 editions published in 1983 in 3 languages and held by 253 WorldCat member libraries worldwide
A course on pseudo differential operators and their applications by
L Boutet de Monvel(
Book
)
7 editions published in 1976 in English and held by 126 WorldCat member libraries worldwide
7 editions published in 1976 in English and held by 126 WorldCat member libraries worldwide
Analyse algébrique des perturbations singulières(
Book
)
6 editions published in 1994 in French and English and held by 37 WorldCat member libraries worldwide
6 editions published in 1994 in French and English and held by 37 WorldCat member libraries worldwide
Analyse algébrique des perturbations singulières by
L Boutet de Monvel(
Book
)
7 editions published in 1994 in French and English and held by 25 WorldCat member libraries worldwide
7 editions published in 1994 in French and English and held by 25 WorldCat member libraries worldwide
Analyse algébrique des perturbations singulières(
Book
)
4 editions published in 1994 in English and French and held by 19 WorldCat member libraries worldwide
4 editions published in 1994 in English and French and held by 19 WorldCat member libraries worldwide
Operateurs pseudodifferentiels et formule de l'indice. (Cours de D.E.A.) by
L Boutet de Monvel(
Book
)
4 editions published in 1971 in French and held by 11 WorldCat member libraries worldwide
4 editions published in 1971 in French and held by 11 WorldCat member libraries worldwide
Analyse algébrique des perturbations singulières : [symposium francojaponais, Marseille, 2026 octobre 1991](
Book
)
2 editions published in 1994 in French and English and held by 9 WorldCat member libraries worldwide
2 editions published in 1994 in French and English and held by 9 WorldCat member libraries worldwide
Équations aux dérivées partielles et quantification : 2003 Colloque en l'Honneur de Louis Boutet de Monvel, Paris, 23 
27 Juin 2003 by Colloque en l'honneur de Louis Boutet de Monvel(
Book
)
3 editions published in 2004 in French and English and held by 8 WorldCat member libraries worldwide
3 editions published in 2004 in French and English and held by 8 WorldCat member libraries worldwide
Methodes resurgentes(
Book
)
2 editions published in 1994 in Undetermined and French and held by 5 WorldCat member libraries worldwide
2 editions published in 1994 in Undetermined and French and held by 5 WorldCat member libraries worldwide
Methodes differentielles(
Book
)
2 editions published in 1994 in Undetermined and French and held by 5 WorldCat member libraries worldwide
2 editions published in 1994 in Undetermined and French and held by 5 WorldCat member libraries worldwide
Arnaud Denjoy, évocation de l'homme et de l'œuvre : [textes by
Arnaud Denjoy(
Book
)
1 edition published in 1975 in French and held by 4 WorldCat member libraries worldwide
1 edition published in 1975 in French and held by 4 WorldCat member libraries worldwide
Operateurs elliptiques, Cours de D.E.A. 1975/1976 by
L Boutet de Monvel(
Book
)
2 editions published between 1976 and 1982 in French and held by 4 WorldCat member libraries worldwide
2 editions published between 1976 and 1982 in French and held by 4 WorldCat member libraries worldwide
Problemes aux limites pseudodifferentiels donnant lieu au principe du maximum by
Claudy Cancelier(
)
1 edition published in 1984 in French and held by 3 WorldCat member libraries worldwide
In the first part, this paper proves on a compact manifold with boundary, existence, smoothness, and uniqueness of the weak solutions of the first boundary value problem for a second order pseudodifferential operator, satisfying the maximum principle, the transmission property with respect to the boundary, and proves existence of Feller semigroups on the interior of M. In the second part, this paper proves the same assuming that the boundary of M is not empty, results for the solutions of boundary value problems associated with second order pseudodifferential operators and BOUTET DE MONVEL traces operators satisfying the maximum principle, and proves existence of Feller semigroups on M and on its boundary
1 edition published in 1984 in French and held by 3 WorldCat member libraries worldwide
In the first part, this paper proves on a compact manifold with boundary, existence, smoothness, and uniqueness of the weak solutions of the first boundary value problem for a second order pseudodifferential operator, satisfying the maximum principle, the transmission property with respect to the boundary, and proves existence of Feller semigroups on the interior of M. In the second part, this paper proves the same assuming that the boundary of M is not empty, results for the solutions of boundary value problems associated with second order pseudodifferential operators and BOUTET DE MONVEL traces operators satisfying the maximum principle, and proves existence of Feller semigroups on M and on its boundary
VERSION REELLE DE LA CONJECTURE DE RAMADANOV ET EQUATION DE MONGEAMPERE by
Abdelali Attioui(
Book
)
1 edition published in 1994 in French and held by 3 WorldCat member libraries worldwide
ON CONSIDERE DEUX VARIETES REELLES INDEFINIMENT DIFFERENTIABLES X ET Y DE MEME DIMENSION N ET UNE HYPERSURFACE M REGULIERE EN POSITION GENERALE DANS LEUR PRODUIT, SATISFAISANT UNE CONDITION DE STRICTE PSEUDOCONVEXITE. ON ASSOCIE A M UN ANALOGUE MICROLOCAL REEL DU NOYAU DE BERGMAN. LA RELATION D'INCIDENCE REELLE DANS L'ESPACE PROJECTIF REEL EST L'ANALOGUE REEL DE LA SPHERE COMPLEXE. DANS LA PREMIERE PARTIE DE CETTE THESE ON DONNE DANS LE CAS OU N EST SUPERIEURE OU EGALE A 3 UN EXEMPLE D'HYPERSURFACE M, NON EQUIVALENTE AU MODELE, DONT LA SINGULARITE DU NOYAU DE BERGMAN NE COMPORTE PAS DE TERME LOGARITHMIQUE. ON MONTRE AUSSI QUE SI N EST EGALE A 2 ET SI LE COEFFICIENT DU TERME LOGARITHMIQUE DE LA SINGULARITE DU NOYAU DE BERGMAN ASSOCIE A M S'ANNULE A L'ORDRE 4 AU VOISINAGE D'UN POINT DE M ALORS, AU VOISINAGE DE CE POINT, M EST EQUIVALENTE AU MODELE. DANS LA DEUXIEME PARTIE ON DONNE UNE NOUVELLE CONSTRUCTION DE SOLUTIONS ASYMPTOTIQUES DE L'EQUATION DE MONGEAMPERE ASSOCIEE A UNE HYPERSURFACE STRICTEMENT PSEUDOCONVEXE
1 edition published in 1994 in French and held by 3 WorldCat member libraries worldwide
ON CONSIDERE DEUX VARIETES REELLES INDEFINIMENT DIFFERENTIABLES X ET Y DE MEME DIMENSION N ET UNE HYPERSURFACE M REGULIERE EN POSITION GENERALE DANS LEUR PRODUIT, SATISFAISANT UNE CONDITION DE STRICTE PSEUDOCONVEXITE. ON ASSOCIE A M UN ANALOGUE MICROLOCAL REEL DU NOYAU DE BERGMAN. LA RELATION D'INCIDENCE REELLE DANS L'ESPACE PROJECTIF REEL EST L'ANALOGUE REEL DE LA SPHERE COMPLEXE. DANS LA PREMIERE PARTIE DE CETTE THESE ON DONNE DANS LE CAS OU N EST SUPERIEURE OU EGALE A 3 UN EXEMPLE D'HYPERSURFACE M, NON EQUIVALENTE AU MODELE, DONT LA SINGULARITE DU NOYAU DE BERGMAN NE COMPORTE PAS DE TERME LOGARITHMIQUE. ON MONTRE AUSSI QUE SI N EST EGALE A 2 ET SI LE COEFFICIENT DU TERME LOGARITHMIQUE DE LA SINGULARITE DU NOYAU DE BERGMAN ASSOCIE A M S'ANNULE A L'ORDRE 4 AU VOISINAGE D'UN POINT DE M ALORS, AU VOISINAGE DE CE POINT, M EST EQUIVALENTE AU MODELE. DANS LA DEUXIEME PARTIE ON DONNE UNE NOUVELLE CONSTRUCTION DE SOLUTIONS ASYMPTOTIQUES DE L'EQUATION DE MONGEAMPERE ASSOCIEE A UNE HYPERSURFACE STRICTEMENT PSEUDOCONVEXE
DMODULES ET MODULES ASSOCIES A UN OPERATEUR DIFFERENTIEL A CARACTERISTIQUES SIMPLES by DAVID MEYER(
Book
)
1 edition published in 1998 in French and held by 3 WorldCat member libraries worldwide
ON SAIT D'APRES LES TRAVAUX DE J. LERAY QUE LA SOLUTION ELEMENTAIRE AVANCEE D'UN OPERATEUR DIFFERENTIEL P, A CARACTERISTIQUES SIMPLES ET HYPERBOLIQUE SUR UN OUVERT U DE R N, VERIFIE UN SYSTEME HOLONOME REGULIER D'EQUATIONS DIFFERENTIELLES. DANS CETTE THESE, ON CONSTRUIT EXPLICITEMENT UN TEL SYSTEME. DE PLUS, LES EQUATIONS DE CE SYSTEME SONT VERIFIEES, MODULO LES FONCTIONS HOLOMORPHES SUR UN VOISINAGE COMPLEXE DE U U PAR TOUTE SOLUTION ELEMENTAIRE DE P, SI P EST A CARACTERISTIQUES SIMPLES ET ELLIPTIQUE, EXPLIQUANT AINSI LE CARACTERE HOLONOME D'UNE SOLUTION ELEMENTAIRE QUELCONQUE DE P DANS CE DERNIER CAS
1 edition published in 1998 in French and held by 3 WorldCat member libraries worldwide
ON SAIT D'APRES LES TRAVAUX DE J. LERAY QUE LA SOLUTION ELEMENTAIRE AVANCEE D'UN OPERATEUR DIFFERENTIEL P, A CARACTERISTIQUES SIMPLES ET HYPERBOLIQUE SUR UN OUVERT U DE R N, VERIFIE UN SYSTEME HOLONOME REGULIER D'EQUATIONS DIFFERENTIELLES. DANS CETTE THESE, ON CONSTRUIT EXPLICITEMENT UN TEL SYSTEME. DE PLUS, LES EQUATIONS DE CE SYSTEME SONT VERIFIEES, MODULO LES FONCTIONS HOLOMORPHES SUR UN VOISINAGE COMPLEXE DE U U PAR TOUTE SOLUTION ELEMENTAIRE DE P, SI P EST A CARACTERISTIQUES SIMPLES ET ELLIPTIQUE, EXPLIQUANT AINSI LE CARACTERE HOLONOME D'UNE SOLUTION ELEMENTAIRE QUELCONQUE DE P DANS CE DERNIER CAS
Contributions à l'étude des singularités des solutions des équations aux dérivées partielles non linéaires by
Éric Leichtnam(
)
1 edition published in 1987 in French and held by 3 WorldCat member libraries worldwide
This work falls into four papers.In the first one, we define in an intrinsic way the wave front set of a submanifold the regularity of which is limited. Then we use this concept to study the microlocal singularities of solutions of partial differential equations in several situations: equations of the first order, MongeAmpère equations, Pfaffian systems.In the second paper, we study the interaction of singularities for a pseudo differential operator with a real principal symbol and the characteristic variety of which is the union of two smooth hypersurfaces with non involutive selfintersection. In the third article, we construct for a holomorphic quasilinear operator solutions which are ramified around a smooth complex characteristic hypersurface.In the fourth paper, we study the microlocal regularity of the solutions of nonlinear non characteristic Dirichlet problems of the second order and with a nonsmooth boundary
1 edition published in 1987 in French and held by 3 WorldCat member libraries worldwide
This work falls into four papers.In the first one, we define in an intrinsic way the wave front set of a submanifold the regularity of which is limited. Then we use this concept to study the microlocal singularities of solutions of partial differential equations in several situations: equations of the first order, MongeAmpère equations, Pfaffian systems.In the second paper, we study the interaction of singularities for a pseudo differential operator with a real principal symbol and the characteristic variety of which is the union of two smooth hypersurfaces with non involutive selfintersection. In the third article, we construct for a holomorphic quasilinear operator solutions which are ramified around a smooth complex characteristic hypersurface.In the fourth paper, we study the microlocal regularity of the solutions of nonlinear non characteristic Dirichlet problems of the second order and with a nonsmooth boundary
The Spectral Theory of Toeplitz Operators. (AM99) by
L Boutet de Monvel(
)
2 editions published between 1981 and 2016 in English and held by 0 WorldCat member libraries worldwide
The theory of Toeplitz operators has come to resemble more and more in recent years the classical theory of pseudodifferential operators. For instance, Toeplitz operators possess a symbolic calculus analogous to the usual symbolic calculus, and by symbolic means one can construct parametrices for Toeplitz operators and create new Toeplitz operators out of old ones by functional operations. If P is a selfadjoint pseudodifferential operator on a compact manifold with an elliptic symbol that is of order greater than zero, then it has a discrete spectrum. Also, it is well known that the asymptotic behavior of its eigenvalues is closely related to the behavior of the bicharacteristic flow generated by its symbol. It is natural to ask if similar results are true for Toeplitz operators. In the course of answering this question, the authors explore in depth the analogies between Toeplitz operators and pseudodifferential operators and show that both can be viewed as the "quantized" objects associated with functions on compact contact manifolds
2 editions published between 1981 and 2016 in English and held by 0 WorldCat member libraries worldwide
The theory of Toeplitz operators has come to resemble more and more in recent years the classical theory of pseudodifferential operators. For instance, Toeplitz operators possess a symbolic calculus analogous to the usual symbolic calculus, and by symbolic means one can construct parametrices for Toeplitz operators and create new Toeplitz operators out of old ones by functional operations. If P is a selfadjoint pseudodifferential operator on a compact manifold with an elliptic symbol that is of order greater than zero, then it has a discrete spectrum. Also, it is well known that the asymptotic behavior of its eigenvalues is closely related to the behavior of the bicharacteristic flow generated by its symbol. It is natural to ask if similar results are true for Toeplitz operators. In the course of answering this question, the authors explore in depth the analogies between Toeplitz operators and pseudodifferential operators and show that both can be viewed as the "quantized" objects associated with functions on compact contact manifolds
Louis boutet de monvel selected works by
L Boutet de Monvel(
)
1 edition published in 2017 in English and held by 0 WorldCat member libraries worldwide
1 edition published in 2017 in English and held by 0 WorldCat member libraries worldwide
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Related Identities
 Guillemin, Victor 1937 Contributor Editor
 Zampieri, G. (Giuseppe) Other
 D'Agnolo, A. (Andrea) Other
 Centro internazionale matematico estivo
 Douady, Adrien Editor
 Verdier, Jean Louis Editor
 Ecole normale supérieure (France) Séminaire de mathématique physique
 Sjöstrand, Johannes Opponent Editor
 École normale supérieure (France) Séminaire Mathématique et physique Editor
 Procesi, Claudio
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Associated Subjects
Boundary value problems Denjoy, Arnaud, Differential equations Differential equations, Partial Differential operators Dmodules Elliptic operators Global analysis (Mathematics) Index theorems Ktheory Mathematical physics Mathematics Operator algebras Partial differential operators Pseudodifferential operators Quantum groups Quantum theory Representations of groups Representations of quantum groups Singular perturbations (Mathematics) Spectral theory (Mathematics) Toeplitz operators Topological groups
Alternative Names
Boutet de Monvel, Louis
Boutet de Monvel, Louis 1941
De Monvel, L. Boutet.
De Monvel, L. Boutet 1941
De Monvel, Louis Boutet.
De Monvel, Louis Boutet 1941
demonvel, l. boutet
Louis Boutet de Monvel Frans wiskundige (19412014)
Louis Boutet de Monvel französischer Mathematiker
Louis Boutet de Monvel French mathematician
Louis Boutet de Monvel matemático francés
Louis Boutet de Monvel mathématicien français
Monvel, L. Boutet de
Monvel, L. Boutet de 1941
Monvel, Louis B. de 1941
Monvel, Louis Boutet de.
Monvel, Louis Boutet de 1941
Monvel Louis Boutet de 19412014
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