WorldCat Identities

Sjöstrand, J. (Johannes)

Overview
Works: 82 works in 246 publications in 3 languages and 3,906 library holdings
Genres: Conference papers and proceedings 
Roles: Author, Opponent, Thesis advisor, Editor, 956, Other
Classifications: QA329.4, 515.7242
Publication Timeline
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Most widely held works by J Sjöstrand
Microlocal analysis for differential operators : an introduction by Alain Grigis( Book )

15 editions published between 1994 and 2000 in English and held by 326 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 WKB-constructions
Semi-classical analysis for Harper's equation III : Cantor structure of the spectrum by Bernard Helffer( Book )

49 editions published between 1988 and 1990 in 3 languages and held by 295 WorldCat member libraries worldwide

Spectral asymptotics in the semi-classical limit by Mouez Dimassi( Book )

15 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 WKB-method, stationary phase and h-pseudodifferential 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 )

19 editions published in 1982 in French and held by 128 WorldCat member libraries worldwide

Complete asymptotics for correlations of Laplace integrals in the semi-classical limit by J Sjöstrand( Book )

8 editions published in 2000 in English and French and held by 123 WorldCat member libraries worldwide

Résonances en limite semi-classique by Bernard Helffer( Book )

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 )

10 editions published in 1990 in French and held by 91 WorldCat member libraries worldwide

Weyl law for semi-classical resonances with randomly perturbed potentials by J Sjöstrand( Book )

7 editions published in 2014 in English and French and held by 81 WorldCat member libraries worldwide

In this work we consider semi-classical Schrödinger operators with potentials supported in a bounded strictly convex subset O of R n with smooth boundary. Letting h denote the semi-classical 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 3 languages and held by 36 WorldCat member libraries worldwide

Quantization and arithmetic by André Unterberger( )

2 editions published in 2008 in English and held by 21 WorldCat member libraries worldwide

"The primary aim of this book is to create situations in which the zeta function, or other L-functions, will appear in spectral-theoretic questions. A secondary aim is to connect pseudo-differential 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, pseudo-differential analysis or quantization theory."--Jacket
Séminaire Équations aux dérivées partielles : 1996-1997 by Séminaire equations aux dérivées partielles( Book )

1 edition published in 1997 in French and held by 19 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

Équations aux dérivées partielles : séminaire Bony-Sjöstrand-Meyer, 1984-1985 by Ecole polytechnique (France)( Book )

1 edition published in 1985 in French and held by 15 WorldCat member libraries worldwide

Comportement semi-classique près d'un rationnel by Bernard Helffer( Book )

1 edition published in 1990 in French and held by 8 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**(N-D) 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/M-1( 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
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

Potential wells in high dimensions by J Sjöstrand( Book )

3 editions published in 1991 in English and held by 6 WorldCat member libraries worldwide

Analyse semi-classique pour l'équation de Harper by Bernard Helffer( Book )

in French and held by 4 WorldCat member libraries worldwide

A calculus for Fourier integral operators : in domains with boundary and applications to the oblique derivative problem by J Sjöstrand( Book )

2 editions published in 1977 in English and held by 4 WorldCat member libraries worldwide

Résonances en limite semiclassique et exposants de Lyapunov by Christian Gérard( Book )

2 editions published in 1987 in French and held by 4 WorldCat member libraries worldwide

 
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Microlocal analysis for differential operators : an introduction
Alternative Names
Johannes Sjöstrand schwedischer Mathematiker

Johannes Sjöstrand svensk matematikar

Johannes Sjöstrand svensk matematiker

Johannes Sjöstrand Swedish mathematician

Johannes Sjöstrand Zweeds wiskundige

Sjöstrand, J.

Sjöstrand, Johannes

Languages
French (79)

English (73)

Swedish (9)

Covers
Spectral asymptotics in the semi-classical limitComplete asymptotics for correlations of Laplace integrals in the semi-classical limitQuantization and arithmetic