Sjöstrand, J. (Johannes)
Overview
Works:  84 works in 220 publications in 3 languages and 3,678 library holdings 

Genres:  Conference proceedings 
Roles:  Author, 956, Opponent, Other, Editor 
Classifications:  QA329.4, 515.7242 
Publication Timeline
.
Most widely held works by
J Sjöstrand
Microlocal analysis for differential operators : an introduction by
Alain Grigis(
Book
)
14 editions published between 1994 and 2000 in English and held by 317 WorldCat member libraries worldwide
Exercise 3.3 (Distributions on a manifold)Notes; 4 Application to elliptic operators and L2 continuity; Exercises; Exercise 4.1; Notes; 5 Local symplectic geometry I (HamiltonJacobi theory); Tangent and cotangent vectors; The canonical 1 and 2forms; Lagrangian manifolds; HamiltonJacobi equations; Exercises; Exercise 5.1; Exercise 5.2; Exercise 5.3; Exercise 5.4; Exercise 5.5; Exercise 5.6; Exercise 5.7; Notes; 6 The strictly hyperbolic Cauchy problem  construction of a parametrix; Exercises; Exercise 6.1; Exercise 6.2 (Duhamel's principle); Exercise 6.3; Notes
14 editions published between 1994 and 2000 in English and held by 317 WorldCat member libraries worldwide
Exercise 3.3 (Distributions on a manifold)Notes; 4 Application to elliptic operators and L2 continuity; Exercises; Exercise 4.1; Notes; 5 Local symplectic geometry I (HamiltonJacobi theory); Tangent and cotangent vectors; The canonical 1 and 2forms; Lagrangian manifolds; HamiltonJacobi equations; Exercises; Exercise 5.1; Exercise 5.2; Exercise 5.3; Exercise 5.4; Exercise 5.5; Exercise 5.6; Exercise 5.7; Notes; 6 The strictly hyperbolic Cauchy problem  construction of a parametrix; Exercises; Exercise 6.1; Exercise 6.2 (Duhamel's principle); Exercise 6.3; Notes
Spectral asymptotics in the semiclassical limit by
Mouez Dimassi(
Book
)
15 editions published between 1999 and 2007 in English and held by 290 WorldCat member libraries worldwide
Theorem 4.23.Notes; 5. The method of stationary phase; Lemma 5.1.; Proposition 5.2.; Notes; 6. Tunnel effect and interaction matrix; Proposition 6.1.; Proposition 6.2.; Proposition 6.3.; Proposition 6.4.; Proposition 6.5.; Proposition 6.6.; Proposition 6.7.; Lemma 6.8.; Lemma 6.9.; Theorem 6.10.; Lemma 6.11.; Lemma 6.12.; Proposition A.I.; Proposition A.2.; Theorem A.3.; Notes; 7. hpseudodifferential operators; Proposition 7.1.; Proposition 7.2.; Theorem 7.3.; Proposition 7.6.; Proposition 7.7.; Lemma 7.8.; Theorem 7.9.; Lemma 7.10.; Theorem 7.11.; Theorem 7.12
15 editions published between 1999 and 2007 in English and held by 290 WorldCat member libraries worldwide
Theorem 4.23.Notes; 5. The method of stationary phase; Lemma 5.1.; Proposition 5.2.; Notes; 6. Tunnel effect and interaction matrix; Proposition 6.1.; Proposition 6.2.; Proposition 6.3.; Proposition 6.4.; Proposition 6.5.; Proposition 6.6.; Proposition 6.7.; Lemma 6.8.; Lemma 6.9.; Theorem 6.10.; Lemma 6.11.; Lemma 6.12.; Proposition A.I.; Proposition A.2.; Theorem A.3.; Notes; 7. hpseudodifferential operators; Proposition 7.1.; Proposition 7.2.; Theorem 7.3.; Proposition 7.6.; Proposition 7.7.; Lemma 7.8.; Theorem 7.9.; Lemma 7.10.; Theorem 7.11.; Theorem 7.12
Singularités analytiques microlocales by
J Sjöstrand(
Book
)
19 editions published in 1982 in French and held by 125 WorldCat member libraries worldwide
19 editions published in 1982 in French and held by 125 WorldCat member libraries worldwide
Complete asymptotics for correlations of Laplace integrals in the semiclassical limit by
J Sjöstrand(
Book
)
6 editions published in 2000 in English and held by 118 WorldCat member libraries worldwide
6 editions published in 2000 in English and held by 118 WorldCat member libraries worldwide
Résonances en limite semiclassique by
Bernard Helffer(
Book
)
9 editions published in 1986 in 3 languages and held by 97 WorldCat member libraries worldwide
9 editions published in 1986 in 3 languages and held by 97 WorldCat member libraries worldwide
Analyse semiclassique pour l'équation de Harper : (avec application à l'équation de Schrödinger avec champ magnétique) by
Bernard Helffer(
Book
)
15 editions published between 1988 and 1989 in French and English and held by 95 WorldCat member libraries worldwide
15 editions published between 1988 and 1989 in French and English and held by 95 WorldCat member libraries worldwide
Le papillon de Hofstadter revisité by
Bernard Helffer(
Book
)
8 editions published in 1990 in French and held by 86 WorldCat member libraries worldwide
8 editions published in 1990 in French and held by 86 WorldCat member libraries worldwide
Semiclassical analysis for Harper's equation III : Cantor structure of the spectrum by
Bernard Helffer(
Book
)
8 editions published between 1988 and 1990 in English and French and held by 84 WorldCat member libraries worldwide
8 editions published between 1988 and 1990 in English and French and held by 84 WorldCat member libraries worldwide
Analyse semiclassique pour l'équation de Harper : comportement semiclassique prés dún rationnel by
Bernard Helffer(
Book
)
9 editions published in 1990 in French and English and held by 82 WorldCat member libraries worldwide
9 editions published in 1990 in French and English and held by 82 WorldCat member libraries worldwide
Weyl law for semiclassical resonances with randomly perturbed potentials by
J Sjöstrand(
Book
)
5 editions published in 2014 in English and French and held by 66 WorldCat member libraries worldwide
In this work we consider semiclassical Schrödinger operators with potentials supported in a bounded strictly convex subset O of R n with smooth boundary. Letting h denote the semiclassical parameter, we consider certain classes of small random perturbations and show that with probability very close to 1, the number of resonances in rectangles [a, b]i[0,ch 2/3 [, is equal to the number of eigenvalues in [a, b] of the Dirichlet realization of the unperturbed operator in O up to a small remainder
5 editions published in 2014 in English and French and held by 66 WorldCat member libraries worldwide
In this work we consider semiclassical Schrödinger operators with potentials supported in a bounded strictly convex subset O of R n with smooth boundary. Letting h denote the semiclassical parameter, we consider certain classes of small random perturbations and show that with probability very close to 1, the number of resonances in rectangles [a, b]i[0,ch 2/3 [, is equal to the number of eigenvalues in [a, b] of the Dirichlet realization of the unperturbed operator in O up to a small remainder
Den äktenskapliga fruktsamheten i Sverige by
J Sjöstrand(
Book
)
10 editions published in 1940 in 3 languages and held by 34 WorldCat member libraries worldwide
10 editions published in 1940 in 3 languages and held by 34 WorldCat member libraries worldwide
Quantization and arithmetic by
André Unterberger(
)
2 editions published in 2008 in English and held by 22 WorldCat member libraries worldwide
"The primary aim of this book is to create situations in which the zeta function, or other Lfunctions, will appear in spectraltheoretic questions. A secondary aim is to connect pseudodifferential analysis, or quantization theory, to analytic number theory. Both are attained through the analysis of operators on functions on the line by means of their diagonal matrix elements against families of arithmetic coherent states: these are families of discretely supported measures on the line, transforming in specific ways under the part of the metaplectic representation or, more generally, representations from the discrete series of SL(2,R), lying above an arithmetic group such as SL(2,Z)." "The book is addressed to a wide audience of advanced graduate students and researchers working in analytic number theory, pseudodifferential analysis or quantization theory."BOOK JACKET
2 editions published in 2008 in English and held by 22 WorldCat member libraries worldwide
"The primary aim of this book is to create situations in which the zeta function, or other Lfunctions, will appear in spectraltheoretic questions. A secondary aim is to connect pseudodifferential analysis, or quantization theory, to analytic number theory. Both are attained through the analysis of operators on functions on the line by means of their diagonal matrix elements against families of arithmetic coherent states: these are families of discretely supported measures on the line, transforming in specific ways under the part of the metaplectic representation or, more generally, representations from the discrete series of SL(2,R), lying above an arithmetic group such as SL(2,Z)." "The book is addressed to a wide audience of advanced graduate students and researchers working in analytic number theory, pseudodifferential analysis or quantization theory."BOOK JACKET
Séminaire Équations aux dérivées partielles : 19961997 by Séminaire equations aux dérivées partielles(
Book
)
1 edition published in 1997 in French and held by 18 WorldCat member libraries worldwide
1 edition published in 1997 in French and held by 18 WorldCat member libraries worldwide
Operators of principal type with interior boundary conditions by
J Sjöstrand(
Book
)
6 editions published in 1972 in English and Swedish and held by 18 WorldCat member libraries worldwide
6 editions published in 1972 in English and Swedish and held by 18 WorldCat member libraries worldwide
Équations aux dérivées partielles : séminaire BonySjöstrandMeyer, 19841985 by
Ecole polytechnique (France)(
Book
)
1 edition published in 1985 in French and held by 15 WorldCat member libraries worldwide
1 edition published in 1985 in French and held by 15 WorldCat member libraries worldwide
Comportement semiclassique près d'un rationnel by
Bernard Helffer(
Book
)
1 edition published in 1990 in French and held by 8 WorldCat member libraries worldwide
1 edition published in 1990 in French and held by 8 WorldCat member libraries worldwide
Singularities analytiques microlocales. Equation de Schroedinger et propagation des singularites ... / B. Lascar ; J. Sjoestrand. by
J Sjöstrand(
Book
)
1 edition published in 1983 in English and held by 6 WorldCat member libraries worldwide
1 edition published in 1983 in English and held by 6 WorldCat member libraries worldwide
Propagation des singularités Gevrey pour des opérateurs à caractéristiques involutives by
Amor Kessab(
Book
)
1 edition published in 1984 in French and held by 6 WorldCat member libraries worldwide
SOIT P UN OPERATEUR DIFFERENTIEL DEFINI SUR UN OUVERT X DE R**(N) A COEFFICIENTS ANALYTIQUES ET DE VARIETE CARACTERISTIQUE V=((X,ZETA ) APPARTIENT A X X (R**(N)/(0)):ZETA "=0), OU ZETA =(ZETA ',ZETA ") APPARTIENT A R**(ND) X R**(D). ON SUPPOSE QUE LE SYMBOLE PRINCIPAL DE P S'ANNULE EXACTEMENT A L'ORDRE M >OU= 1 SUR V. SOIT S APPARTIENT A )1,M/M1( ON MONTRE ALORS QUE WF::(G)**(S)(U)/WF::(G)**(S)(PU) EST INVARIANT SOUS LA FIBRATION BICARACTERISTIQUE DE V/WF::(G)**(S)(PU), POUR TOUT U APPARTIENT A D'(X). ICI WF::(G)**(S) DESIGNE LE FRONT D'ONDE GEVREY D'ORDRE 1
1 edition published in 1984 in French and held by 6 WorldCat member libraries worldwide
SOIT P UN OPERATEUR DIFFERENTIEL DEFINI SUR UN OUVERT X DE R**(N) A COEFFICIENTS ANALYTIQUES ET DE VARIETE CARACTERISTIQUE V=((X,ZETA ) APPARTIENT A X X (R**(N)/(0)):ZETA "=0), OU ZETA =(ZETA ',ZETA ") APPARTIENT A R**(ND) X R**(D). ON SUPPOSE QUE LE SYMBOLE PRINCIPAL DE P S'ANNULE EXACTEMENT A L'ORDRE M >OU= 1 SUR V. SOIT S APPARTIENT A )1,M/M1( ON MONTRE ALORS QUE WF::(G)**(S)(U)/WF::(G)**(S)(PU) EST INVARIANT SOUS LA FIBRATION BICARACTERISTIQUE DE V/WF::(G)**(S)(PU), POUR TOUT U APPARTIENT A D'(X). ICI WF::(G)**(S) DESIGNE LE FRONT D'ONDE GEVREY D'ORDRE 1
Analyse semiclassique pour l'équation de Harper by
Bernard Helffer(
Book
)
1 edition published in 1990 in French and held by 5 WorldCat member libraries worldwide
1 edition published in 1990 in French and held by 5 WorldCat member libraries worldwide
Analyse semiclassique pour l'équation de Harper by
Bernard Helffer(
Book
)
1 edition published in 1989 in English and held by 5 WorldCat member libraries worldwide
1 edition published in 1989 in English and held by 5 WorldCat member libraries worldwide
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Related Identities
 Grigis, Alain Author
 Dimassi, Mouez Author
 Helffer, Bernard Author
 Kerdelhué, P.
 Lascar, Bernard Author
 Schulze, BertWolfgang Publishing director
 Rodino, L. (Luigi) Editor
 Zworski, Marciej
 Wong, M. W.
 Bony, J. M. Opponent Thesis advisor Author
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Associated Subjects
Analytic functions Approximation theory Asymptotic expansions Automorphic forms Boundary value problemsWeyl theory Differential equations Differential equations, Partial Differential operators Discontinuous groups Fourier analysis Functional analysis Illegitimacy Laplace transformation Lie groups Mathematical analysis Mathematical physics Mathematics Microlocal analysis Number theory Operator theory Population Potential theory (Mathematics) Pseudodifferential operators Quantum theory Resonance Scattering (Mathematics) Schrödinger equation Schrödinger operator Singularities (Mathematics) Spectral theory (Mathematics) Sweden Topological groups