## Sjöstrand, Johannes

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 Author ID: sjostrand.johannes Published as: Sjöstrand, Johannes; Sjöstrand, J.; Sjoestrand, Johannes; Sjoestrand, J.; Sjostrand, J. Homepage: http://sjostrand.perso.math.cnrs.fr/ External Links: MGP · Wikidata · GND · IdRef · theses.fr
 Documents Indexed: 219 Publications since 1970, including 3 Books 4 Contributions as Editor · 2 Further Contributions Co-Authors: 74 Co-Authors with 142 Joint Publications 1,581 Co-Co-Authors
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### Co-Authors

 82 single-authored 29 Helffer, Bernard 18 Hitrik, Michael 17 Zworski, Maciej 7 Melin, Anders 5 Hérau, Frédéric 5 Vögel, Martin 4 Baouendi, Mohammed Salah 4 Menikoff, A. 4 Uhlmann, Gunther Alberto 3 Berman, Robert J. 3 Caliceti, Emanuela 3 Demuth, Michael 3 Gérard, Christian 3 Graffi, Sandro 3 Grigis, Alain 3 Kenig, Carlos Eduardo 3 Lascar, Bernard 3 Melrose, Richard Burt 3 Ramond, Thierry 3 Schrohe, Elmar 3 Schulze, Bert-Wolfgang 3 Vũ Ngọc, San 2 Berndtsson, Bo 2 Boussekkine, Naima 2 Boutet de Monvel, Louis 2 Coburn, Lewis A. 2 Dimassi, Mouez 2 Dos Santos Ferreira, David 2 Duistermaat, Johannes Jisse 2 Faure, Frédéric 2 Guillemin, Victor W. 2 Iantchenko, Alexai 2 Kashiwara, Masaki 2 Kawai, Takahiro 2 Martinez, André 2 Mecherout, Nawal 2 Nonnenmacher, Stéphane 2 Presilla, Carlo 2 Wang, Wei-Min 2 Zerzeri, Maher 1 Andersson, Mats 1 Atiyah, Michael Francis 1 Avetisyan, Zhirayr G. 1 Bach, Volker 1 Benbernou, Amina Lahmar 1 Bony, Jean-François 1 Bordeaux Montrieux, William 1 Cushman, Richard H. 1 Dencker, Nils 1 Hager, Mildred 1 Hall, Michael A. 1 Hanges, Nicholas William 1 Heckman, Gert 1 Jecko, Thierry 1 Jona-Lasinio, Giovanni 1 Kahane, Jean-Pierre 1 Klein, Christian 1 Kolk, Johan A. C. 1 Lascar, Richard 1 Lévy-Leblond, Jean-Marc 1 Nirenberg, Louis 1 Pelayo, Alvaro 1 Ramm, Alexander G. 1 Rauch, Jeffrey B. 1 Rouby, Ophélie 1 Roy, Nicolas David 1 Schapira, Pierre 1 Shubin, Mikhail Aleksandrovich 1 Sjamaar, Reyer 1 Stoilov, Nikola M. 1 Stolk, Christiaan C. 1 Van den Ban, Erik Peter 1 Vassiliev, Dmitri G. 1 Viola, Joe 1 Vodev, Georgi 1 Weinstein, Alan David 1 White, Francis 1 Zelditch, Steve
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### Serials

 12 Communications in Partial Differential Equations 10 Séminaire Équations aux Dérivées Partielles 7 Communications in Mathematical Physics 7 Mémoires de la Société Mathématique de France. Nouvelle Série 6 Arkiv för Matematik 5 Annales de l’Institut Fourier 5 Duke Mathematical Journal 5 Annales de l’Institut Henri Poincaré. Physique Théorique 5 Mathematical Research Letters 4 Mathematische Annalen 4 Mathematische Nachrichten 4 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 4 Annales Henri Poincaré 4 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 3 Communications on Pure and Applied Mathematics 3 Journal d’Analyse Mathématique 3 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 3 Journal of Functional Analysis 3 Annals of Mathematics. Second Series 3 Mathematical Topics 3 Analysis & PDE 2 Helvetica Physica Acta 2 Acta Mathematica 2 American Journal of Mathematics 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 2 Canadian Journal of Mathematics 2 Asymptotic Analysis 2 IMRN. International Mathematics Research Notices 2 Comptes Rendus de l’Académie des Sciences. Série I 2 St. Petersburg Mathematical Journal 2 London Mathematical Society Lecture Note Series 2 Journal of Physics A: Mathematical and Theoretical 2 Journal of Spectral Theory 1 Journal of Mathematical Physics 1 Journal of Statistical Physics 1 Letters in Mathematical Physics 1 Hokkaido Mathematical Journal 1 Indiana University Mathematics Journal 1 Integral Equations and Operator Theory 1 Inventiones Mathematicae 1 Mathematische Zeitschrift 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Cahiers Mathématiques 1 Journal of the American Mathematical Society 1 Annals of Physics 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Journal of Physics A: Mathematical and General 1 Notices of the American Mathematical Society 1 Indagationes Mathematicae. New Series 1 Methods and Applications of Analysis 1 Serdica Mathematical Journal 1 Journal of the European Mathematical Society (JEMS) 1 Journal of the Institute of Mathematics of Jussieu 1 RIMS Kôkyûroku Bessatsu 1 Pseudo-Differential Operators. Theory and Applications 1 The Open Mathematics Journal 1 Journal of Pseudo-Differential Operators and Applications 1 Contemporary Mathematicians 1 Pure and Applied Analysis
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### Fields

 195 Partial differential equations (35-XX) 63 Operator theory (47-XX) 62 Quantum theory (81-XX) 45 Global analysis, analysis on manifolds (58-XX) 11 Dynamical systems and ergodic theory (37-XX) 9 Several complex variables and analytic spaces (32-XX) 9 Ordinary differential equations (34-XX) 9 Statistical mechanics, structure of matter (82-XX) 8 Differential geometry (53-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 5 Functions of a complex variable (30-XX) 4 Functional analysis (46-XX) 4 Probability theory and stochastic processes (60-XX) 4 Numerical analysis (65-XX) 4 Optics, electromagnetic theory (78-XX) 3 General and overarching topics; collections (00-XX) 3 Potential theory (31-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Integral transforms, operational calculus (44-XX) 2 History and biography (01-XX) 2 Mechanics of particles and systems (70-XX) 1 Measure and integration (28-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Algebraic topology (55-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Biology and other natural sciences (92-XX)

### Citations contained in zbMATH Open

185 Publications have been cited 3,666 times in 2,059 Documents Cited by Year
Spectral asymptotics in the semi-classical limit. Zbl 0926.35002
Dimassi, Mouez; Sjöstrand, Johannes
1999
Multiple wells in the semi-classical limit. I. Zbl 0546.35053
Helffer, B.; Sjöstrand, J.
1984
Sur la singularite des noyaux de Bergman et de Szegö. Zbl 0344.32010
Boutet de Monvel, L.; Sjöstrand, J.
1976
The Calderón problem with partial data. Zbl 1127.35079
Kenig, Carlos E.; Sjöstrand, Johannes; Uhlmann, Gunther
2007
Singularities of boundary value problems. I. Zbl 0368.35020
Melrose, R. B.; Sjöstrand, J.
1978
Singularites analytiques microlocales. Zbl 0524.35007
Sjoestrand, Johannes
1982
An algebra of pseudodifferential operators. Zbl 0840.35130
Sjöstrand, Johannes
1994
Complex scaling and the distribution of scattering poles. Zbl 0752.35046
Sjöstrand, Johannes; Zworski, Maciej
1991
Equation de Schrödinger avec champ magnétique et équation de Harper. (The Schrödinger equation with magnetic field and the Harper equation). Zbl 0699.35189
Helffer, B.; Sjöstrand, J.
1989
Parametrices for pseudodifferential operators with multiple characteristics. Zbl 0317.35076
Sjöstrand, Johannes
1974
Résonances en limite semi-classique. (Resonances in semi-classical limit). Zbl 0631.35075
Helffer, B.; Sjöstrand, J.
1986
Microlocal analysis for differential operators. An introduction. Zbl 0804.35001
Grigis, Alain; Sjöstrand, Johannes
1994
Singularities of boundary value problems. II. Zbl 0546.35083
Melrose, R. B.; Sjöstrand, J.
1982
Determining a magnetic Schrödinger operator from partial Cauchy data. Zbl 1148.35096
dos Santos Ferreira, David; Kenig, Carlos E.; Sjöstrand, Johannes; Uhlmann, Gunther
2007
Puits multiples en mécanique semi-classique. IV: Étude du complexe de Witten. (Multiple wells in semi-classical limit. IV: Investigation of the Witten complex). Zbl 0597.35024
Helffer, B.; Sjöstrand, J.
1985
Analyse semi-classique pour l’équation de Harper (avec application à l’équation de Schrödinger avec champ magnétique). (Semiclassical analysis for the Harper equation (with application to the magnetic Schrödinger equation)). Zbl 0714.34130
Helffer, B.; Sjöstrand, J.
1988
A direct approach to Bergman kernel asymptotics for positive line bundles. Zbl 1161.32001
Berman, Robert; Berndtsson, Bo; Sjöstrand, Johannes
2008
Puits multiples en limite semi-classique. II: Interaction moléculaire. Symétries. Perturbation. (Multiple wells in the semi-classical limit. II: Molecular interaction. Symmetry. Perturbation). Zbl 0595.35031
Helffer, B.; Sjöstrand, J.
1985
Semi-classical analysis for Harper’s equation. III: Cantor structure of the spectrum. Zbl 0725.34099
Helffer, B.; Sjöstrand, J.
1989
On the correlation for Kac-like models in the convex case. Zbl 0946.35508
Helffer, Bernard; Sjöstrand, Johannes
1994
Geometric bounds on the density of resonances for semiclassical problems. Zbl 0702.35188
Sjöstrand, Johannes
1990
Pseudospectra of semiclassical (pseudo-) differential operators. Zbl 1054.35035
Dencker, Nils; Sjöstrand, Johannes; Zworski, Maciej
2004
Fourier integral operators with complex-valued phase functions. Zbl 0306.42007
Melin, Anders; Sjöstrand, Johannes
1975
Semiclassical resonances generated by a closed trajectory of hyperbolic type. Zbl 0637.35027
Gérard, C.; Sjöstrand, J.
1987
Upper bound on the density of Ruelle resonances for Anosov flows. Zbl 1260.37016
Faure, Frédéric; Sjöstrand, Johannes
2011
Wiener type algebras of pseudodifferential operators. Zbl 0880.35145
Sjöstrand, J.
1995
On the eigenvalues of a class of hypoelliptic operators. Zbl 0375.35014
Menikoff, A.; Sjöstrand, J.
1978
Fractal upper bounds on the density of semiclassical resonances. Zbl 1201.35189
Sjöstrand, Johannes; Zworski, Maciej
2007
An inverse problem for the wave equation. Zbl 0697.35164
Ramm, A. G.; Sjöstrand, J.
1991
Analytic wavefront sets and operators with multiple characteristics. Zbl 0531.35022
Sjöstrand, Johannes
1983
Elementary linear algebra for advanced spectral problems. Zbl 1140.15009
Sjöstrand, Johannes; Zworski, Maciej
2007
Fourier integral operators with complex phase functions and parametrix for an interior boundary value problem. Zbl 0364.35049
Melin, Anders; Sjöstrand, Johannes
1976
Multiple wells in the semi-classical limit. III: Interaction through non- resonant wells. Zbl 0597.35023
Helffer, B.; Sjöstrand, J.
1985
A trace formula and review of some estimates for resonances. Zbl 0877.35090
Sjöstrand, J.
1997
Analyse semi-classique pour l’équation de Harper. II: Comportement semi-classique près d’un rationnel. (Semiclassical analysis for the Harper equation. II. Semiclassical behaviour near a rational number). Zbl 0714.34131
Helffer, B.; Sjöstrand, J.
1990
Front d’onde analytique et sommes de carrés de champs de vecteurs. Zbl 0581.35009
Grigis, A.; Sjöstrand, J.
1985
Resonances for bottles and trace formulae. Zbl 0979.35109
Sjöstrand, Johannes
2001
A mathematical approach to the effective Hamiltonian in perturbed periodic problems. Zbl 0753.35057
Gerard, C.; Martinez, A.; Sjöstrand, J.
1991
On diamagnetism and de Haas-van Alphen effect. Zbl 0715.35070
Helffer, B.; Sjöstrand, J.
1990
Lower bounds on the number of scattering poles. II. Zbl 0823.35137
Sjöstrand, Johannes; Zworski, Maciej
1994
Microlocal analysis for the periodic magnetic Schrödinger equation and related questions. Zbl 0761.35090
Sjöstrand, Johannes
1991
Semi-classical approach for Anosov diffeomorphisms and Ruelle resonances. Zbl 1177.37032
Faure, Frédéric; Roy, Nicolas; Sjöstrand, Johannes
2008
Operators of principal type with interior boundary conditions. Zbl 0253.35076
Sjöstrand, Johannes
1973
Lower bounds on the number of scattering poles. Zbl 0784.35070
Sjöstrand, Johannes; Zworski, Maciej
1993
Semi-excited states in nondegenerate potential wells. Zbl 0782.35050
Sjöstrand, Johannes
1992
Birkhoff normal forms in semi-classical inverse problems. Zbl 1258.35208
Iantchenko, Alexai; Sjöstrand, Johannes; Zworski, Maciej
2002
Quantum monodromy and semi-classical trace formulæ. Zbl 1038.58033
Sjöstrand, Johannes; Zworski, Maciej
2002
Effet tunnel pour l’équation de Schrödinger avec champ magnétique. (Tunnel effect for the Schrödinger equation with a magnetic field). Zbl 0699.35205
Helffer, B.; Sjöstrand, J.
1987
Asymptotic distribution of eigenfrequencies for damped wave equations. Zbl 0984.35121
Sjöstrand, Johannes
2000
Propagation of analytic singularities for second order Dirichlet problems. Zbl 0458.35026
Sjöstrand, Johannes
1980
On Schrödinger equations with concentrated nonlinearities. Zbl 0820.34050
Jona-Lasinio, Giovanni; Presilla, Carlo; Sjöstrand, Johannes
1995
Eigenvalue asymptotics for randomly perturbed non-selfadjoint operators. Zbl 1151.35063
Hager, Mildred; Sjöstrand, Johannes
2008
Asymptotic distribution of resonances for convex obstacles. Zbl 0989.35099
Sjöstrand, Johannes; Zworski, Maciej
1999
Semiclassical analysis for the Kramers-Fokker-Planck equation. Zbl 1083.35149
Hérau, Frédéric; Sjöstrand, Johannes; Stolk, Christiaan C.
2005
Correlation asymptotics and Witten Laplacians. Zbl 0877.35084
Sjöstrand, J.
1996
The inverse spectral problem. Zbl 1061.58029
Zelditch, Steve
2004
On a class of linear partial differential equations whose formal solutions always converge. Zbl 0411.35003
Kashiwara, Masaki; Kawai, Takahiro; Sjöstrand, Johannes
1979
A global construction for pseudo-differential operators with non- involutive characteristics. Zbl 0282.35071
Duistermaat, J. J.; Sjöstrand, J.
1973
Eigenvalue distribution for non-self-adjoint operators with small multiplicative random perturbations. Zbl 1194.47058
Sjöstrand, Johannes
2009
Tunnel effect and symmetries for Kramers-Fokker-Planck type operators. Zbl 1223.35246
Hérau, Frédéric; Hitrik, Michael; Sjöstrand, Johannes
2011
Hitrik, Michael; Sjöstrand, Johannes
2004
Spectra of $$PT$$-symmetric operators and perturbation theory. Zbl 1065.81054
Caliceti, Emanuela; Graffi, Sandro; Sjöstrand, Johannes
2005
Tunnel effect for Kramers-Fokker-Planck type operators. Zbl 1141.82011
Hérau, Frédéric; Hitrik, Michael; Sjöstrand, Johannes
2008
Diophantine tori and spectral asymptotics for nonselfadjoint operators. Zbl 1172.35085
Hitrik, Michael; Sjöstrand, Johannes; San Vũ Ngọc
2007
Propagation of analyticity for a class of non-micro-characteristic operators. Zbl 0537.35007
Hanges, Nicholas; Sjöstrand, Johannes
1982
Density of resonances for strictly convex analytic obstacles. With an appendix by M. Zworski. Zbl 0863.35072
Sjöstrand, Johannes
1996
The complex scaling method for scattering by strictly convex obstacles. Zbl 0839.35095
Sjöstrand, Johannes; Zworski, Maciej
1995
Trace formula for resonances in small domains. Zbl 1068.47055
Bony, Jean-François; Sjöstrand, Johannes
2001
Potential wells in high dimensions. I. Zbl 0770.35050
Sjöstrand, Johannes
1993
Birkhoff normal forms for Fourier integral operators. II. Zbl 1011.35144
Iantchenko, A.; Sjöstrand, J.
2002
Semiclassical resonances generated by non-degenerate critical points. Zbl 0627.35074
Sjöstrand, Johannes
1987
Asymptotics of the number of Rayleigh resonances. Zbl 0890.35098
Sjöstrand, Johannes; Vodev, Georgi
1997
Function spaces associated to global $$I$$-Lagrangian manifolds. Zbl 0889.46027
Sjöstrand, Johannes
1996
Correlation asymptotics of classical lattice spin systems with nonconvex Hamilton function at low temperature. Zbl 1021.82002
Bach, V.; Jecko, T.; Sjöstrand, J.
2000
Adiabatic projections from the pseudodifferential point of view. (Projecteurs adiabatiques du point de vue pseudodifférentiel.) Zbl 0783.35087
Sjöstrand, Johannes
1993
Analytic singularities and microhyperbolic boundary value problems. Zbl 0459.35007
Sjöstrand, Johannes
1980
Weyl law for semi-classical resonances with randomly perturbed potentials. Zbl 1304.35010
Sjöstrand, Johannes
2014
On the linearized local Calderón problem. Zbl 1198.31003
Dos Santos Ferreira, David; Kenig, Carlos E.; Sjöstrand, Johannes; Uhlmann, Gunther
2009
Determinants of pseudodifferential operators and complex deformations of phase space. Zbl 1082.35176
Melin, A.; Sjöstrand, J.
2002
Propagation of singularities for operators with multiple involutive characteristics. Zbl 0313.58021
Sjöstrand, Johannes
1976
Puits multiples en mécanique semi-classique. V: Étude des minipuits. (Multiple wells in semi-classical mechanics. V: Study of miniwells). Zbl 0628.35024
Helffer, B.; Sjöstrand, J.
1986
Resonances en limite semiclassique et exposants de Lyapunov. (Resonances in semiclassical limit and Lyapunov exponents). Zbl 0698.35118
Gérard, C.; Sjöstrand, J.
1988
Note on a paper of F. Treves concerning Mizohata type operators. Zbl 0471.35076
Sjöstrand, J.
1980
Resonances associated to a closed hyperbolic trajectory in dimension 2. Zbl 1060.35096
Sjöstrand, Johannes
2003
Eigenvalue distribution for non-self-adjoint operators on compact manifolds with small multiplicative random perturbations. Zbl 1206.35267
Sjöstrand, Johannes
2010
Resolvent estimates for non-selfadjoint operators via semigroups. Zbl 1198.47068
Sjöstrand, Johannes
2010
Régularité analytique pour des opérateurs elliptiques singuliers en un point. Zbl 0334.35021
Baouendi, M. S.; Sjöstrand, J.
1976
Transport properties in resonant tunneling heterostructures. Zbl 0868.35112
Presilla, Carlo; Sjöstrand, Johannes
1996
Semiclassical expansions of the thermodynamic limit for a Schrödinger equation. I: The one well case. Zbl 0788.35109
Helffer, B.; Sjöstrand, J.
1992
Potential wells in high dimensions. II: More about the one well case. Zbl 0770.35051
Sjöstrand, Johannes
1993
On the eigenvalues of a class of hypoelliptic operators. IV. Zbl 0417.47024
Sjöstrand, Johannes
1980
The eigenvalues of hypoelliptic operators. III: The non-semibounded case. Zbl 0436.35065
Menikoff, A.; Sjöstrand, J.
1979
Distribution of scattering poles near the real axis. Zbl 0766.35031
Sjöstrand, Johannes; Zworski, Maciej
1992
Puits multiples en mécanique semi-classique. VI: Cas des puits sous- variétés. (Multiple wells in semi-classical mechanics. VI: The case of submanifold wells). Zbl 0648.35027
Helffer, B.; Sjöstrand, J.
1987
Functional calculus for non-commuting operators with real spectra via an iterated Cauchy formula. Zbl 1070.47009
2004
Quadratic $$\mathcal{PT}$$-symmetric operators with real spectrum and similarity to self-adjoint operators. Zbl 1263.81190
Caliceti, Emanuela; Graffi, Sandro; Hitrik, Michael; Sjöstrand, Johannes
2012
Resolvent estimates for elliptic quadratic differential operators. Zbl 1295.47045
Hitrik, Michael; Sjöstrand, Johannes; Viola, Joe
2013
$$P{\mathcal T}$$ symmetric non-self-adjoint operators, diagonalizable and non-diagonalizable, with a real discrete spectrum. Zbl 1124.81018
Caliceti, Emanuela; Graffi, Sandro; Sjöstrand, Johannes
2007
From open quantum systems to open quantum maps. Zbl 1223.81127
Nonnenmacher, Stéphane; Sjöstrand, Johannes; Zworski, Maciej
2011
Exponential convergence of the first eigenvalue divided by the dimension, for certain sequences of Schrödinger operator. Zbl 0796.35123
Sjöstrand, Johannes
1992
Toeplitz band matrices with small random perturbations. Zbl 07298855
Sjöstrand, Johannes; Vogel, Martin
2021
General Toeplitz matrices subject to Gaussian perturbations. Zbl 1479.15039
Sjöstrand, Johannes; Vogel, Martin
2021
Weyl symbols and boundedness of Toeplitz operators. Zbl 07356560
Coburn, Lewis; Hitrik, Michael; Sjöstrand, Johannes; White, Francis
2021
Improving semigroup bounds with resolvent estimates. Zbl 07367384
Helffer, B.; Sjöstrand, J.
2021
Analytic Bergman operators in the semiclassical limit. Zbl 1469.32003
Rouby, Ophélie; Sjöstrand, Johannes; Vũ Ngọc San
2020
The second Weyl coefficient for a first order system. Zbl 1445.35270
Avetisyan, Zhirayr; Sjöstrand, Johannes; Vassiliev, Dmitri
2020
Non-self-adjoint differential operators, spectral asymptotics and random perturbations. Zbl 1473.35004
Sjöstrand, Johannes
2019
Positivity, complex FIOs, and Toeplitz operators. Zbl 1429.32047
Coburn, Lewis A.; Hitrik, Michael; Sjöstrand, Johannes
2019
Two minicourses on analytic microlocal analysis. Zbl 1418.32003
Hitrik, Michael; Sjöstrand, Johannes
2018
Rational invariant tori and band edge spectra for non-selfadjoint operators. Zbl 1405.35118
Hitrik, Michael; Sjöstrand, Johannes
2018
Interior eigenvalue density of large bi-diagonal matrices subject to random perturbations. Zbl 06761086
Sjöstrand, Johannes; Vogel, Martin
2017
Interior eigenvalue density of Jordan matrices with random perturbations. Zbl 06994392
Sjöstrand, Johannes; Vogel, Martin
2017
Large bidiagonal matrices and random perturbations. Zbl 1454.47034
Sjöstrand, Johannes; Vogel, Martin
2016
$$\mathcal{PT}$$-symmetry and Schrödinger operators. The double well case. Zbl 1337.35103
Mecherout, Nawal; Boussekkine, Naima; Ramond, Thierry; Sjöstrand, Johannes
2016
Local analytic regularity in the linearized Calderón problem. Zbl 1342.35456
Sjöstrand, Johannes; Uhlmann, Gunther
2016
Spectra for semiclassical operators with periodic bicharacteristics in dimension two. Zbl 1341.58019
Hall, Michael A.; Hitrik, Michael; Sjöstrand, Johannes
2015
Weyl law for semi-classical resonances with randomly perturbed potentials. Zbl 1304.35010
Sjöstrand, Johannes
2014
Fractal Weyl law for open quantum chaotic maps. Zbl 1293.81022
Nonnenmacher, Stéphane; Sjöstrand, Johannes; Zworski, Maciej
2014
Supersymmetric structures for second order differential operators. Zbl 1303.81086
Hérau, F.; Hitrik, M.; Sjöstrand, J.
2014
Resolvent estimates for elliptic quadratic differential operators. Zbl 1295.47045
Hitrik, Michael; Sjöstrand, Johannes; Viola, Joe
2013
Quadratic $$\mathcal{PT}$$-symmetric operators with real spectrum and similarity to self-adjoint operators. Zbl 1263.81190
Caliceti, Emanuela; Graffi, Sandro; Hitrik, Michael; Sjöstrand, Johannes
2012
Diophantine tori and Weyl laws for non-selfadjoint operators in dimension two. Zbl 1256.35039
Hitrik, Michael; Sjöstrand, Johannes
2012
Upper bound on the density of Ruelle resonances for Anosov flows. Zbl 1260.37016
Faure, Frédéric; Sjöstrand, Johannes
2011
Tunnel effect and symmetries for Kramers-Fokker-Planck type operators. Zbl 1223.35246
Hérau, Frédéric; Hitrik, Michael; Sjöstrand, Johannes
2011
From open quantum systems to open quantum maps. Zbl 1223.81127
Nonnenmacher, Stéphane; Sjöstrand, Johannes; Zworski, Maciej
2011
Remembering Johannes J. Duistermaat (1942–2010). Zbl 1225.01067
Atiyah, Michael; Cushman, Richard; Heckman, Gert; van den Ban, Erik; Kolk, Johan; Nirenberg, Louis; Sjamaar, Reyer; Sjöstrand, Johannes
2011
Eigenvalue distributions and Weyl laws for semiclassical non-self-adjoint operators in 2 dimensions. Zbl 1248.35241
Sjöstrand, Johannes
2011
Eigenvalue distribution for non-self-adjoint operators on compact manifolds with small multiplicative random perturbations. Zbl 1206.35267
Sjöstrand, Johannes
2010
Resolvent estimates for non-selfadjoint operators via semigroups. Zbl 1198.47068
Sjöstrand, Johannes
2010
Almost sure Weyl asymptotics for non-self-adjoint elliptic operators on compact manifolds. Zbl 1228.47046
Montrieux, William Bordeaux; Sjöstrand, Johannes
2010
Counting zeros of holomorphic functions of exponential growth. Zbl 1214.30006
Sjöstrand, Johannes
2010
Eigenvalue distribution for non-self-adjoint operators with small multiplicative random perturbations. Zbl 1194.47058
Sjöstrand, Johannes
2009
On the linearized local Calderón problem. Zbl 1198.31003
Dos Santos Ferreira, David; Kenig, Carlos E.; Sjöstrand, Johannes; Uhlmann, Gunther
2009
Resonances for nonanalytic potentials. Zbl 1203.35033
Martinez, André; Ramond, Thierry; Sjöstrand, Johannes
2009
Some results on nonselfadjoint operators: a survey. Zbl 1189.47009
Sjöstrand, Johannes
2009
A direct approach to Bergman kernel asymptotics for positive line bundles. Zbl 1161.32001
Berman, Robert; Berndtsson, Bo; Sjöstrand, Johannes
2008
Semi-classical approach for Anosov diffeomorphisms and Ruelle resonances. Zbl 1177.37032
Faure, Frédéric; Roy, Nicolas; Sjöstrand, Johannes
2008
Eigenvalue asymptotics for randomly perturbed non-selfadjoint operators. Zbl 1151.35063
Hager, Mildred; Sjöstrand, Johannes
2008
Tunnel effect for Kramers-Fokker-Planck type operators. Zbl 1141.82011
Hérau, Frédéric; Hitrik, Michael; Sjöstrand, Johannes
2008
Tunnel effect for Kramers-Fokker-Planck type operators: return to equilibrium and applications. Zbl 1151.35012
Hérau, Frédéric; Hitrik, Michael; Sjöstrand, Johannes
2008
Pseudodifferential operators and weighted normed symbol spaces. Zbl 1199.35410
Sjöstrand, J.
2008
Non-selfadjoint perturbations of selfadjoint operators in two dimensions IIIa. One branching point. Zbl 1147.31004
Hitrik, Michael; Sjöstrand, Johannes
2008
Rational invariant tori, phase space tunneling, and spectra for non-selfadjointoperators in dimension 2. Zbl 1171.35131
Hitrik, Michael; Sjöstrand, Johannes
2008
The Calderón problem with partial data. Zbl 1127.35079
Kenig, Carlos E.; Sjöstrand, Johannes; Uhlmann, Gunther
2007
Determining a magnetic Schrödinger operator from partial Cauchy data. Zbl 1148.35096
dos Santos Ferreira, David; Kenig, Carlos E.; Sjöstrand, Johannes; Uhlmann, Gunther
2007
Fractal upper bounds on the density of semiclassical resonances. Zbl 1201.35189
Sjöstrand, Johannes; Zworski, Maciej
2007
Elementary linear algebra for advanced spectral problems. Zbl 1140.15009
Sjöstrand, Johannes; Zworski, Maciej
2007
Diophantine tori and spectral asymptotics for nonselfadjoint operators. Zbl 1172.35085
Hitrik, Michael; Sjöstrand, Johannes; San Vũ Ngọc
2007
$$P{\mathcal T}$$ symmetric non-self-adjoint operators, diagonalizable and non-diagonalizable, with a real discrete spectrum. Zbl 1124.81018
Caliceti, Emanuela; Graffi, Sandro; Sjöstrand, Johannes
2007
Asymptotics for Bergman-Hodge kernels for high powers of complex line bundles. Zbl 1207.32012
Berman, Robert; Sjöstrand, Johannes
2007
Semiclassical analysis for the Kramers-Fokker-Planck equation. Zbl 1083.35149
Hérau, Frédéric; Sjöstrand, Johannes; Stolk, Christiaan C.
2005
Spectra of $$PT$$-symmetric operators and perturbation theory. Zbl 1065.81054
Caliceti, Emanuela; Graffi, Sandro; Sjöstrand, Johannes
2005
Nonselfadjoint perturbations of selfadjoint operators in two dimensions: II. Vanishing averages. Zbl 1096.47053
Hitrik, Michael; Sjöstrand, Johannes
2005
Pseudospectra of semiclassical (pseudo-) differential operators. Zbl 1054.35035
Dencker, Nils; Sjöstrand, Johannes; Zworski, Maciej
2004
The inverse spectral problem. Zbl 1061.58029
Zelditch, Steve
2004
Hitrik, Michael; Sjöstrand, Johannes
2004
Functional calculus for non-commuting operators with real spectra via an iterated Cauchy formula. Zbl 1070.47009
2004
Resonances associated to a closed hyperbolic trajectory in dimension 2. Zbl 1060.35096
Sjöstrand, Johannes
2003
Bohr-Sommerfeld quantization condition for non-selfadjoint operators in dimension 2. Zbl 1061.35186
Melin, Anders; Sjöstrand, Johannes
2003
Pseudospectrum for differential operators. Zbl 1061.35067
Sjöstrand, Johannes
2003
Birkhoff normal forms in semi-classical inverse problems. Zbl 1258.35208
Iantchenko, Alexai; Sjöstrand, Johannes; Zworski, Maciej
2002
Quantum monodromy and semi-classical trace formulæ. Zbl 1038.58033
Sjöstrand, Johannes; Zworski, Maciej
2002
Birkhoff normal forms for Fourier integral operators. II. Zbl 1011.35144
Iantchenko, A.; Sjöstrand, J.
2002
Determinants of pseudodifferential operators and complex deformations of phase space. Zbl 1082.35176
Melin, A.; Sjöstrand, J.
2002
Resonances for bottles and trace formulae. Zbl 0979.35109
Sjöstrand, Johannes
2001
Trace formula for resonances in small domains. Zbl 1068.47055
Bony, Jean-François; Sjöstrand, Johannes
2001
Quantum resonances and trapped trajectories. Zbl 1172.35471
Sjöstrand, Johannes
2001
Bohr-Sommerfeld quantization condition for non-selfadjoint operators in dimension 2. Zbl 1066.53141
Sjöstrand, Johannes
2001
Asymptotic distribution of eigenfrequencies for damped wave equations. Zbl 0984.35121
Sjöstrand, Johannes
2000
Correlation asymptotics of classical lattice spin systems with nonconvex Hamilton function at low temperature. Zbl 1021.82002
Bach, V.; Jecko, T.; Sjöstrand, J.
2000
Spectral asymptotics in the semi-classical limit. Zbl 0926.35002
Dimassi, Mouez; Sjöstrand, Johannes
1999
Asymptotic distribution of resonances for convex obstacles. Zbl 0989.35099
Sjöstrand, Johannes; Zworski, Maciej
1999
Supersymmetric measures and maximum principles in the complex domain. Exponential decay of Green’s functions. Zbl 0941.47033
Sjöstrand, J.; Wang, W.-M.
1999
Exponential decay of averaged Green functions for random Schrödinger operators. A direct approach. Zbl 0934.35036
Sjöstrand, J.; Wang, W.-M.
1999
Evolution equations, Feshbach resonances, singular Hodge theory. Zbl 0918.00012
1999
A trace formula and review of some estimates for resonances. Zbl 0877.35090
Sjöstrand, J.
1997
Asymptotics of the number of Rayleigh resonances. Zbl 0890.35098
Sjöstrand, Johannes; Vodev, Georgi
1997
A trace formula for resonances and applications to semi-classical Schrödinger operators. Zbl 1061.35506
Sjöstrand, J.
1997
Spectral theory, microlocal analysis, singular manifolds. Zbl 0882.00015
1997
Correlation asymptotics and Witten Laplacians. Zbl 0877.35084
Sjöstrand, J.
1996
Density of resonances for strictly convex analytic obstacles. With an appendix by M. Zworski. Zbl 0863.35072
Sjöstrand, Johannes
1996
Function spaces associated to global $$I$$-Lagrangian manifolds. Zbl 0889.46027
Sjöstrand, Johannes
1996
Transport properties in resonant tunneling heterostructures. Zbl 0868.35112
Presilla, Carlo; Sjöstrand, Johannes
1996
Trace asymptotics via almost analytic extensions. Zbl 0864.35078
Dimassi, Mouez; Sjöstrand, Johannes
1996
Wiener type algebras of pseudodifferential operators. Zbl 0880.35145
Sjöstrand, J.
1995
On Schrödinger equations with concentrated nonlinearities. Zbl 0820.34050
Jona-Lasinio, Giovanni; Presilla, Carlo; Sjöstrand, Johannes
1995
The complex scaling method for scattering by strictly convex obstacles. Zbl 0839.35095
Sjöstrand, Johannes; Zworski, Maciej
1995
An algebra of pseudodifferential operators. Zbl 0840.35130
Sjöstrand, Johannes
1994
Microlocal analysis for differential operators. An introduction. Zbl 0804.35001
Grigis, Alain; Sjöstrand, Johannes
1994
On the correlation for Kac-like models in the convex case. Zbl 0946.35508
Helffer, Bernard; Sjöstrand, Johannes
1994
Lower bounds on the number of scattering poles. II. Zbl 0823.35137
Sjöstrand, Johannes; Zworski, Maciej
1994
Evolution equations in a large number of variables. Zbl 0837.35061
Sjöstrand, Johannes
1994
Ferromagnetic integrals, correlations and maximum principles. Zbl 0831.35031
Sjöstrand, Johannes
1994
Remark on extensions of the Watermelon theorem. Zbl 0842.35003
Sjöstrand, Johannes
1994
Erratum on the paper: Semiclassical expansions of the thermodynamic limit for a Schrödinger equation. II: The double well case. Zbl 0979.35521
Helffer, Bernard; Sjöstrand, Johannes
1994
Schrödinger operators in high dimensions, asymptotic constructions and estimates. Zbl 0842.35094
Sjöstrand, Johannes
1994
Lower bounds on the number of scattering poles. Zbl 0784.35070
Sjöstrand, Johannes; Zworski, Maciej
1993
Potential wells in high dimensions. I. Zbl 0770.35050
Sjöstrand, Johannes
1993
Adiabatic projections from the pseudodifferential point of view. (Projecteurs adiabatiques du point de vue pseudodifférentiel.) Zbl 0783.35087
Sjöstrand, Johannes
1993
Potential wells in high dimensions. II: More about the one well case. Zbl 0770.35051
Sjöstrand, Johannes
1993
...and 85 more Documents
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### Cited by 1,540 Authors

 77 Sjöstrand, Johannes 68 Helffer, Bernard 33 Martinez, André 33 Zworski, Maciej 23 Uhlmann, Gunther Alberto 20 Zelditch, Steve 19 Nicola, Fabio 19 Petkov, Vesselin M. 18 Cordero, Elena 18 Gröchenig, Karlheinz 18 Lebeau, Gilles 18 Vasy, András 17 Gérard, Christian 17 Toft, Joachim 16 Guillarmou, Colin 15 Bony, Jean-François 15 Kian, Yavar 15 Nakamura, Shu 15 Salo, Mikko 14 Bellassoued, Mourad 14 Burq, Nicolas 14 Dyatlov, Semyon 14 Klopp, Frédéric 14 Lassas, Matti J. 14 Pravda-Starov, Karel 14 Stoyanov, Luchezar N. 13 Bove, Antonio 13 Bruneau, Vincent 13 Cornean, Horia D. 13 Hsiao, Chin-Yu 13 Klein, Markus 13 Vodev, Georgi 12 Galkowski, Jeffrey 12 Hérau, Frédéric 12 Hitrik, Michael 12 Nier, Francis 12 Paoletti, Roberto 12 Purice, Radu 12 Robert, Didier 12 Stefanov, Plamen D. 11 Dimassi, Mouez 11 Himonas, A. Alexandrou 11 Lascar, Richard 11 Raikov, Georgi D. 11 Ramond, Thierry 11 Raymond, Nicolas 11 Rivière, Gabriel 11 Rodino, Luigi 11 Sordoni, Vania 11 Vũ Ngọc, San 11 Wunsch, Jared 10 Fujiié, Setsuro 10 Hassell, Andrew 10 Korotyaev, Evgeny L. 10 Nonnenmacher, Stéphane 10 Trapasso, Salvatore Ivan 10 Tzou, Leo 9 Briet, Philippe 9 Guillemin, Victor W. 9 Hanges, Nicholas William 9 Lascar, Bernard 9 Le Rousseau, Jérôme H. 9 Ludwig, Ursula Beate 9 Mughetti, Marco 9 Oksanen, Lauri 9 Pushnitski, Alexander B. 9 Vögel, Martin 9 Yamamoto, Masahiro 9 Zerzeri, Maher 8 Anikin, A. Yu. 8 Christiansen, Tanya J. 8 de Gosson, Maurice Alexis 8 Grigis, Alain 8 Hislop, Peter D. 8 Iantchenko, Alexei 8 Krantz, Steven George 8 Morame, Abderemane 8 Nourrigat, Jean Francois 8 Rosenberger, Elke 8 Rouleux, Michel 8 Sun, Qiyu 8 Teufel, Stefan 8 Tomita, Naohito 8 Weich, Tobias 8 Williams, Mark 7 Borthwick, David 7 Charles, Laurent 7 Christianson, Hans 7 Coriasco, Sandro 7 Dobrokhotov, Sergei Yurievich 7 Faure, Frédéric 7 Fermanian-Kammerer, Clotilde 7 Jin, Long 7 Le Peutrec, Dorian 7 Lin, Yi-Hsuan 7 Măntoiu, Marius Laurențiu 7 Parmeggiani, Alberto 7 Popoff, Nicolas 7 Romero, José Luis 7 Sigal, Israel Michael ...and 1,440 more Authors
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### Cited in 244 Serials

 152 Communications in Mathematical Physics 131 Journal of Functional Analysis 131 Communications in Partial Differential Equations 63 Annales de l’Institut Fourier 61 Journal of Differential Equations 57 Journal of Mathematical Physics 55 Duke Mathematical Journal 55 Annales Henri Poincaré 52 Transactions of the American Mathematical Society 51 Journal of Mathematical Analysis and Applications 51 Annales de l’Institut Henri Poincaré. Physique Théorique 31 The Journal of Geometric Analysis 30 Inventiones Mathematicae 29 Mathematische Annalen 29 Journal de Mathématiques Pures et Appliquées. Neuvième Série 28 Journal d’Analyse Mathématique 28 Advances in Mathematics 28 Proceedings of the American Mathematical Society 28 Comptes Rendus. Mathématique. Académie des Sciences, Paris 26 Journal of Spectral Theory 22 Letters in Mathematical Physics 22 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 22 Publications of the Research Institute for Mathematical Sciences, Kyoto University 20 Inverse Problems and Imaging 19 Reviews in Mathematical Physics 19 The Journal of Fourier Analysis and Applications 17 Inverse Problems 17 Arkiv för Matematik 17 Proceedings of the Japan Academy. Series A 17 SIAM Journal on Mathematical Analysis 17 Journal of Pseudo-Differential Operators and Applications 15 Mathematische Nachrichten 15 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 14 Mathematische Zeitschrift 12 Applicable Analysis 12 Bulletin of the American Mathematical Society. New Series 11 Annals of Global Analysis and Geometry 11 Journal of the Institute of Mathematics of Jussieu 10 Journal of Statistical Physics 10 Journal of Geometry and Physics 10 Annali di Matematica Pura ed Applicata. Serie Quarta 10 Integral Equations and Operator Theory 10 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 10 Geometric and Functional Analysis. GAFA 10 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 10 Journal of the European Mathematical Society (JEMS) 9 Archive for Rational Mechanics and Analysis 9 Theoretical and Mathematical Physics 9 Mémoires de la Société Mathématique de France. Nouvelle Série 8 Bulletin de la Société Mathématique de France 8 Asymptotic Analysis 8 Russian Journal of Mathematical Physics 8 Applied and Computational Harmonic Analysis 7 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 7 Memoirs of the American Mathematical Society 7 Journal of the American Mathematical Society 7 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 7 St. Petersburg Mathematical Journal 7 Journal of Inverse and Ill-Posed Problems 7 Discrete and Continuous Dynamical Systems 7 Bulletin of Mathematical Sciences 6 Communications on Pure and Applied Mathematics 6 Mathematical Notes 6 Nonlinearity 6 Acta Mathematica 6 The Annals of Probability 6 Monatshefte für Mathematik 6 Osaka Journal of Mathematics 6 International Journal of Mathematics 6 Annals of Mathematics. Second Series 6 Proceedings of the Japan Academy 5 Rocky Mountain Journal of Mathematics 5 Functional Analysis and its Applications 5 Journal of the Mathematical Society of Japan 5 Journal of Soviet Mathematics 5 Manuscripta Mathematica 5 Ergodic Theory and Dynamical Systems 5 Revista Matemática Iberoamericana 5 Indagationes Mathematicae. New Series 5 Calculus of Variations and Partial Differential Equations 5 Bulletin des Sciences Mathématiques 5 Mathematical Physics, Analysis and Geometry 5 Communications in Contemporary Mathematics 5 Proceedings of the Steklov Institute of Mathematics 5 Analysis & PDE 5 Advances in Mathematical Physics 5 Science China. Mathematics 5 Journal de l’École Polytechnique – Mathématiques 4 Israel Journal of Mathematics 4 Journal für die Reine und Angewandte Mathematik 4 Michigan Mathematical Journal 4 Nagoya Mathematical Journal 4 Constructive Approximation 4 Stochastic Processes and their Applications 4 Acta Mathematica Sinica. English Series 4 Communications on Pure and Applied Analysis 4 Bulletin of the American Mathematical Society 4 Complex Analysis and Operator Theory 4 Analysis and Mathematical Physics 4 Séminaire Laurent Schwartz. EDP et Applications ...and 144 more Serials
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### Cited in 53 Fields

 1,336 Partial differential equations (35-XX) 575 Quantum theory (81-XX) 467 Operator theory (47-XX) 382 Global analysis, analysis on manifolds (58-XX) 181 Several complex variables and analytic spaces (32-XX) 142 Statistical mechanics, structure of matter (82-XX) 141 Differential geometry (53-XX) 118 Functional analysis (46-XX) 112 Dynamical systems and ergodic theory (37-XX) 104 Harmonic analysis on Euclidean spaces (42-XX) 94 Ordinary differential equations (34-XX) 86 Probability theory and stochastic processes (60-XX) 66 Optics, electromagnetic theory (78-XX) 50 Numerical analysis (65-XX) 38 Systems theory; control (93-XX) 32 Integral transforms, operational calculus (44-XX) 29 Functions of a complex variable (30-XX) 25 Linear and multilinear algebra; matrix theory (15-XX) 25 Mechanics of deformable solids (74-XX) 24 Topological groups, Lie groups (22-XX) 24 Relativity and gravitational theory (83-XX) 22 Information and communication theory, circuits (94-XX) 21 Fluid mechanics (76-XX) 20 Mechanics of particles and systems (70-XX) 18 Manifolds and cell complexes (57-XX) 17 Abstract harmonic analysis (43-XX) 15 Potential theory (31-XX) 15 Difference and functional equations (39-XX) 14 Algebraic geometry (14-XX) 14 Integral equations (45-XX) 13 Number theory (11-XX) 13 Calculus of variations and optimal control; optimization (49-XX) 12 Special functions (33-XX) 11 Measure and integration (28-XX) 11 Biology and other natural sciences (92-XX) 10 Approximations and expansions (41-XX) 6 History and biography (01-XX) 6 Combinatorics (05-XX) 6 $$K$$-theory (19-XX) 6 Real functions (26-XX) 5 Sequences, series, summability (40-XX) 5 Convex and discrete geometry (52-XX) 5 Geophysics (86-XX) 4 Group theory and generalizations (20-XX) 4 Algebraic topology (55-XX) 2 General and overarching topics; collections (00-XX) 2 Associative rings and algebras (16-XX) 2 Nonassociative rings and algebras (17-XX) 2 Statistics (62-XX) 2 Astronomy and astrophysics (85-XX) 1 Mathematical logic and foundations (03-XX) 1 Geometry (51-XX) 1 Operations research, mathematical programming (90-XX)

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