Sjöstrand, J. (Johannes)
Overview
Works:  85 works in 260 publications in 3 languages and 4,103 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Author, Thesis advisor, Opponent, Other, Editor, 956 
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
)
17 editions published between 1994 and 2000 in English and held by 329 WorldCat member libraries worldwide
This short introduction to microlocal analysis is presented, in the spirit of Hörmander, in the classical framework of partial differential equations. This theory has important applications in areas such as harmonic and complex analysis, and also in theoretical physics. Here Grigis and Sjöstrand emphasize the basic tools, especially the method of stationary phase, and they discuss wavefront sets, elliptic operators, local symplectic geometry, and WKBconstructions
17 editions published between 1994 and 2000 in English and held by 329 WorldCat member libraries worldwide
This short introduction to microlocal analysis is presented, in the spirit of Hörmander, in the classical framework of partial differential equations. This theory has important applications in areas such as harmonic and complex analysis, and also in theoretical physics. Here Grigis and Sjöstrand emphasize the basic tools, especially the method of stationary phase, and they discuss wavefront sets, elliptic operators, local symplectic geometry, and WKBconstructions
Spectral asymptotics in the semiclassical limit by
Mouez Dimassi(
Book
)
17 editions published between 1999 and 2007 in English and held by 293 WorldCat member libraries worldwide
Semiclassical approximation addresses the important relationship between quantum and classical mechanics. In recent years mathematical theory has undergone significant growth, mainly due to microlocal analysis techniques. This volume develops the basic methods of the theory, including the WKBmethod, stationary phase and hpseudodifferential operators. The authors employ the systematic use of a Cauchy formula that simplifies the functional calculus of pseudodifferential operators. The applications described include recent results on the tunnel effect, the asymptotics of eigenvalues in relation to classical trajectories and normal forms, plus slow perturbations of periodic Schrödinger operators appearing in solid state physics. The text assumes no previous specialized knowledge in quantum mechanics or microlocal analysis, and only general knowledge of spectral theory in Hilbert space, distributions, Fourier transforms and some differential geometry
17 editions published between 1999 and 2007 in English and held by 293 WorldCat member libraries worldwide
Semiclassical approximation addresses the important relationship between quantum and classical mechanics. In recent years mathematical theory has undergone significant growth, mainly due to microlocal analysis techniques. This volume develops the basic methods of the theory, including the WKBmethod, stationary phase and hpseudodifferential operators. The authors employ the systematic use of a Cauchy formula that simplifies the functional calculus of pseudodifferential operators. The applications described include recent results on the tunnel effect, the asymptotics of eigenvalues in relation to classical trajectories and normal forms, plus slow perturbations of periodic Schrödinger operators appearing in solid state physics. The text assumes no previous specialized knowledge in quantum mechanics or microlocal analysis, and only general knowledge of spectral theory in Hilbert space, distributions, Fourier transforms and some differential geometry
Singularités analytiques microlocales by
J Sjöstrand(
Book
)
26 editions published in 1982 in 3 languages and held by 148 WorldCat member libraries worldwide
26 editions published in 1982 in 3 languages and held by 148 WorldCat member libraries worldwide
Complete asymptotics for correlations of Laplace integrals in the semiclassical limit by
J Sjöstrand(
Book
)
8 editions published in 2000 in English and French and held by 126 WorldCat member libraries worldwide
8 editions published in 2000 in English and French and held by 126 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
)
19 editions published between 1988 and 1989 in French and English and held by 112 WorldCat member libraries worldwide
19 editions published between 1988 and 1989 in French and English and held by 112 WorldCat member libraries worldwide
Analyse semiclassique pour l'équation de Harper : comportement semiclassique prés dún rationnel by
Bernard Helffer(
Book
)
16 editions published between 1988 and 1990 in 3 languages and held by 100 WorldCat member libraries worldwide
16 editions published between 1988 and 1990 in 3 languages and held by 100 WorldCat member libraries worldwide
Résonances en limite semiclassique by
Bernard Helffer(
Book
)
11 editions published in 1986 in 3 languages and held by 99 WorldCat member libraries worldwide
11 editions published in 1986 in 3 languages and held by 99 WorldCat member libraries worldwide
Le papillon de Hofstadter revisité by
Bernard Helffer(
Book
)
11 editions published in 1990 in French and English and held by 94 WorldCat member libraries worldwide
11 editions published in 1990 in French and English and held by 94 WorldCat member libraries worldwide
Semiclassical analysis for Harper's equation III : Cantor structure of the spectrum by
Bernard Helffer(
Book
)
14 editions published between 1988 and 1990 in 3 languages and held by 89 WorldCat member libraries worldwide
14 editions published between 1988 and 1990 in 3 languages and held by 89 WorldCat member libraries worldwide
Weyl law for semiclassical resonances with randomly perturbed potentials by
J Sjöstrand(
Book
)
7 editions published in 2014 in English and French and held by 80 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
7 editions published in 2014 in English and French and held by 80 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
)
11 editions published in 1940 in Swedish and Undetermined and held by 37 WorldCat member libraries worldwide
11 editions published in 1940 in Swedish and Undetermined and held by 37 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."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."Jacket
Séminaire Équations aux dérivées partielles : 19961997(
Book
)
1 edition published in 1997 in French and held by 20 WorldCat member libraries worldwide
1 edition published in 1997 in French and held by 20 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
Analyse semiclassique pour l'équation de Harper by
Bernard Helffer(
Book
)
2 editions published in 1989 in English and held by 7 WorldCat member libraries worldwide
2 editions published in 1989 in English and held by 7 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
Potential wells in high dimensions by
J Sjöstrand(
Book
)
3 editions published in 1991 in English and held by 6 WorldCat member libraries worldwide
3 editions published in 1991 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
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Related Identities
 Grigis, Alain Opponent Author
 Dimassi, Mouez Author
 Helffer, Bernard Author
 Kerdelhué, P.
 Lascar, Bernard Author
 Société mathématique de France Publisher
 Bony, J. M. Opponent Thesis advisor Author Editor
 Schulze, BertWolfgang Publishing director
 Rodino, L. (Luigi)
 Thangavelu, Sundaram
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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 Eigenvalues Fourier analysis Functional analysis Illegitimacy Laplace transformation Lie groups Mathematical analysis Mathematical physics Mathematical physicsAsymptotic theory Mathematics Mechanics 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
Alternative Names
Johannes Sjöstrand matemático sueco
Johannes Sjöstrand schwedischer Mathematiker
Johannes Sjöstrand svensk matematikar
Johannes Sjöstrand svensk matematiker
Johannes Sjöstrand Swedish mathematician
Johannes Sjöstrand Zweeds wiskundige
Sjöstrand, J.
Sjöstrand, Johannes
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