Edit Profile (opens in new tab) Jensen, Arne Co-Author Distance Author ID: jensen.arne Published as: Jensen, Arne; Jensen, A. Homepage: https://people.math.aau.dk/~matarne/ External Links: MGP Documents Indexed: 87 Publications since 1977, including 2 Books and 2 Additional arXiv Preprints 2 Contributions as Editor · 1 Further Contribution Biographic References: 1 Publication Co-Authors: 33 Co-Authors with 51 Joint Publications 1,158 Co-Co-Authors all top 5 Co-Authors 33 single-authored 13 Nenciu, Gheorghe 9 Cornean, Horia D. 8 Yajima, Kenji 5 Ito, Kenichi 5 Nakamura, Shu 4 Garde, Henrik 3 Dinu, Victor 2 Galtbayar, A. 2 Kato, Tosio 2 Knörr, Hans Konrad 2 Moldoveanu, Valeriu 2 Ozawa, Tohru 2 Perry, Peter A. 1 Abate, Joseph 1 Allouche, Jean-Paul Simon 1 Blanc, Johannes Pieter Cornelis 1 Boxma, Onno Johan 1 Brezzi, Franco 1 Brun, M. A. 1 Coffman, Edward Grady jun. 1 Cordes, Heinz Otto 1 Dales, Harold Garth 1 Doshi, Bharat T. 1 Duclos, Pierre 1 Fayolle, Guy 1 Gani, Joseph Mark 1 Gentili, Graziano 1 Gologan, Radu-Nicolae 1 Groenendijk, Wim P. 1 Heyde, Christopher Charles 1 Hofri, Micha 1 Holden, Helge 1 Hordijk, Arie 1 Isozaki, Hiroshi 1 Jacob, Christine 1 Kaspi, Haya 1 Kaufman, Jay S. 1 Kelly, Frank P. 1 Kitada, Hitoshi 1 Kleinrock, Leonard 1 Kovařík, Hynek 1 Krichever, Igor’ Moiseevich 1 Krüger, Wolfgang 1 Kuroda, Shige Toshi 1 La Cour-Harbo, Anders 1 Lavenberg, Stephen S. 1 Mitrani, Isi 1 Mourre, Éric 1 Phelan, Michael J. 1 Pisanski, Tomaž 1 Ponce, Gustavo 1 Prabhu, Narahari Umanath 1 Quirós Gracián, Adolfo 1 Rubinovitch, Michael 1 Simon, Barry 1 Skibsted, Erik 1 Syski, Ryszard 1 Tijms, Henk C. 1 van Doremalen, Jan B. M. 1 Wessels, Jaap 1 Whitt, Ward all top 5 Serials 8 Reviews in Mathematical Physics 5 Communications in Mathematical Physics 5 Journal of Mathematical Physics 4 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 4 Annales de l’Institut Henri Poincaré. Physique Théorique 3 Journal of Mathematical Analysis and Applications 3 Annales Henri Poincaré 2 Letters in Mathematical Physics 2 Duke Mathematical Journal 2 Journal für die Reine und Angewandte Mathematik 2 Mathematica Scandinavica 2 Mathematische Zeitschrift 2 Journal of Operator Theory 2 European Mathematical Society Newsletter 1 Journal d’Analyse Mathématique 1 Journal of Statistical Physics 1 Studia Mathematica 1 Arkiv för Matematik 1 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section A. Physique Théorique 1 Integral Equations and Operator Theory 1 Journal of Functional Analysis 1 Journal of the Mathematical Society of Japan 1 Manuscripta Mathematica 1 Mathematische Annalen 1 Proceedings of the London Mathematical Society. Third Series 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Transactions of the American Mathematical Society 1 Communications in Partial Differential Equations 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Notices of the American Mathematical Society 1 The Journal of Fourier Analysis and Applications 1 RIMS Kokyuroku 1 CWI Monographs 1 Lecture Notes in Physics 1 Journal of Physics A: Mathematical and Theoretical 1 Journal of Spectral Theory all top 5 Fields 50 Quantum theory (81-XX) 49 Operator theory (47-XX) 46 Partial differential equations (35-XX) 8 Ordinary differential equations (34-XX) 5 Difference and functional equations (39-XX) 4 Functional analysis (46-XX) 4 Mechanics of particles and systems (70-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 General and overarching topics; collections (00-XX) 3 History and biography (01-XX) 3 Functions of a complex variable (30-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Probability theory and stochastic processes (60-XX) 1 Combinatorics (05-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Measure and integration (28-XX) 1 Special functions (33-XX) 1 Approximations and expansions (41-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Numerical analysis (65-XX) 1 Computer science (68-XX) 1 Relativity and gravitational theory (83-XX) 1 Operations research, mathematical programming (90-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 65 Publications have been cited 1,036 times in 611 Documents Cited by ▼ Year ▼ Spectral properties of Schrödinger operators and time-decay of the wave functions. Zbl 0448.35080 Jensen, Arne; Kato, Tosio 267 1979 A unified approach to resolvent expansions at thresholds. Zbl 1029.81067 Jensen, Arne; Nenciu, Gheorghe 92 2001 Spectral properties of Schrödinger operators and time-decay of the wave functions results in \(L^2(\mathbb{R}^m),\;m\geq 5\). Zbl 0437.47009 Jensen, Arne 78 1980 Multiple commutator estimates and resolvent smoothness in quantum scattering theory. Zbl 0561.47007 Jensen, Arne; Mourre, Éric; Perry, Peter 65 1984 Spectral properties of Schrödinger operators and time-decay of the wave functions. Results in \(L^ 2(R^ 4)\). Zbl 0564.35024 Jensen, Arne 46 1984 Asymptotic behavior of the scattering phase for exterior domains. Zbl 0419.35067 Jensen, Arne; Kato, Tosio 35 1978 Mapping properties of functions of Schrödinger operators between \(L^ p\)-spaces and Besov spaces. Zbl 0815.47012 Jensen, Arne; Nakamura, Shu 31 1994 Propagation estimates for Schrödinger-type operators. Zbl 0577.35089 Jensen, Arne 26 1985 Time-delay in potential scattering theory. Some ”geometric” results. Zbl 0483.47031 Jensen, Arne 26 1981 \(L^ p\)-mapping properties of functions of Schrödinger operators and their applications to scattering theory. Zbl 0841.35096 Jensen, Arne; Nakamura, Shu 20 1995 Ripples in mathematics. The discrete wavelet transform. Zbl 0989.42013 Jensen, Arne; La Cour-Harbo, Anders 18 2001 A remark on \(L^{p}\) -boundedness of wave operators for two dimensional Schrödinger operators. Zbl 1057.47011 Jensen, Arne; Yajima, Kenji 17 2002 The Fermi golden rule and its form at thresholds in odd dimensions. Zbl 1109.81030 Jensen, Arne; Nenciu, Gheorghe 16 2006 A rigorous proof of the Landauer-Büttiker formula. Zbl 1067.82055 Cornean, Horia D.; Jensen, Arne; Moldoveanu, Valeriu 16 2005 Local distortion technique, resonances, and poles of the S-matrix. Zbl 0361.47018 Jensen, Arne 15 1977 Commutator methods and a smoothing property of the Schrödinger evolution group. Zbl 0594.35032 Jensen, Arne 15 1986 Mapping properties of wave and scattering operators for two-body Schrödinger operators. Zbl 0761.35074 Jensen, Arne; Nakamura, Shu 15 1992 Local decay in time of solutions to Schrödinger’s equation with a dilation-analytic interaction. Zbl 0397.35056 Jensen, Arne 14 1978 Erratum: A unified approach to resolvent expansions at thresholds. Zbl 1055.81624 Jensen, Arne; Nenciu, Gheorghe 14 2004 Commutator methods and Besov space estimates for Schrödinger operators. Zbl 0574.35022 Jensen, Arne; Perry, Peter 13 1985 On the long range scattering for Stark Hamiltonians. Zbl 0736.35077 Jensen, Arne; Yajima, Kenji 13 1991 High energy resolvent estimates for generalized many-body Schrödinger operators. Zbl 0717.35066 Jensen, Arne 11 1989 Existence and non-existence results for wave operators for perturbations of the Laplacian. Zbl 0831.35145 Jensen, Arne; Ozawa, Tohru 11 1993 Resonances in an abstract analytic scattering theory. Zbl 0462.47010 Jensen, Arne 10 1980 On \(L^{p}\) boundedness of wave operators for 4-dimensional Schrödinger operators with threshold singularities. Zbl 1182.35089 Jensen, Arne; Yajima, Kenji 10 2008 Perturbation of eigenvalues embedded at a threshold. Zbl 1094.81024 Jensen, A.; Melgaard, M. 9 2002 Local time-decay of solutions to Schrödinger equations with time-periodic potentials. Zbl 1138.81018 Galtbayar, A.; Jensen, A.; Yajima, K. 9 2004 Asymptotic completeness for a new class of Stark effect Hamiltonians. Zbl 0606.34020 Jensen, Arne 8 1986 A stationary proof of Lavine’s formula for time-delay. Zbl 0517.47010 Jensen, Arne 8 1983 Fundamental solutions and eigenfunction expansions for Schrödinger operators. II. Eigenfunction expansions. Zbl 0641.35049 Jensen, Arne; Kitada, Hitoshi 7 1988 Perturbation results for Stark effect resonances. Zbl 0655.35061 Jensen, Arne 7 1989 On Lavine’s formula for time-delay. Zbl 0529.46006 Jensen, Arne 7 1984 A complete classification of threshold properties for one-dimensional discrete Schrödinger operators. Zbl 1318.81021 Ito, Kenichi; Jensen, Arne 7 2015 Metastable states when the Fermi golden rule constant vanishes. Zbl 1308.81093 Cornean, Horia D.; Jensen, Arne; Nenciu, Gheorghe 6 2015 Results in \(L^ p({\mathbb{R}}^ d)\) for the Schrödinger equation with a time-dependent potential. Zbl 0792.35037 Jensen, Arne 6 1994 Nonexponential decay laws in perturbation theory of near threshold eigenvalues. Zbl 1200.81062 Dinu, Victor; Jensen, Arne; Nenciu, Gheorghe 6 2009 The Nelson model with less than two photons. Zbl 1028.81057 Galtbayar, A.; Jensen, A.; Yajima, K. 6 2003 Branching form of the resolvent at thresholds for multi-dimensional discrete Laplacians. Zbl 1496.47011 Ito, Kenichi; Jensen, Arne 5 2019 Perturbation of near threshold eigenvalues: crossover from exponential to non-exponential decay laws. Zbl 1217.81082 Dinu, Victor; Jensen, Arne; Nenciu, Gheorghe 5 2011 Memory effects in non-interacting mesoscopic transport. Zbl 1310.82042 Cornean, Horia D.; Jensen, Arne; Nenciu, Gheorghe 4 2014 Schrödinger operators on the half line: resolvent expansions and the Fermi golden rule at thresholds. Zbl 1111.81057 Jensen, Arne; Nenciu, Gheorghe 4 2006 Scattering theory for Hamiltonians with Stark effect. Zbl 0677.34026 Jensen, Arne 4 1987 Continuum limit for lattice Schrödinger operators. Zbl 1492.81085 Isozaki, Hiroshi; Jensen, Arne 4 2022 Norm resolvent convergence of discretized Fourier multipliers. Zbl 07384280 Cornean, Horia; Garde, Henrik; Jensen, Arne 4 2021 On the adiabatic theorem when eigenvalues dive into the continuum. Zbl 1392.81123 Cornean, H. D.; Jensen, A.; Knörr, H. K.; Nenciu, G. 3 2018 Scattering theory for Stark Hamiltonians. Zbl 0827.47006 Jensen, Arne 3 1994 The Landauer-Büttiker formula and resonant quantum transport. Zbl 1170.82373 Cornean, Horia D.; Jensen, Arne; Moldoveanu, Valeriu 3 2006 Hypergeometric expression for the resolvent of the discrete Laplacian in low dimensions. Zbl 1496.47012 Ito, Kenichi; Jensen, Arne 3 2021 On a unified approach to resolvent expansions for Schrödinger operators. Zbl 0991.35502 Jensen, Arne 2 2001 Instability of resonances under Stark perturbations. Zbl 1407.81126 Jensen, Arne; Yajima, Kenji 2 2019 Commutator methods and asymptotic completeness for one-dimensional Stark effect Hamiltonians. Zbl 0608.35013 Jensen, Arne 2 1986 Classical and quantum scattering for Stark Hamiltonians with slowly decaying potentials. Zbl 0768.47002 Jensen, Arne; Ozawa, Tohru 2 1991 On the Fermi golden rule: degenerate eigenvalues. Zbl 1199.81021 Jensen, Arne; Nenciu, Gheorghe 2 2008 Queueing theory and its applications. Liber amicorum for J. W. Cohen. Zbl 0657.60114 2 1988 Some remarks on eigenfunction expansions for Schrödinger operators with non-local potentials. Zbl 0372.47004 Jensen, Arne 1 1978 Tosio Kato (1917–1999). Zbl 1036.01507 Cordes, Heinz; Jensen, Arne; Kuroda, S. T.; Ponce, Gustavo; Simon, Barry 1 2000 On perturbation of eigenvalues embedded at thresholds in a two channel model. Zbl 1199.81020 Jensen, Arne 1 2002 High energy resolvent estimates for Schrödinger operators. Zbl 0815.47062 Jensen, Arne 1 1992 The 2D Schrödinger equation for a neutral pair in a constant magnetic field. Zbl 0888.47052 Jensen, Arne; Nakamura, Shu 1 1997 Exponential decay laws in perturbation theory of threshold and embedded eigenvalues. Zbl 1175.81138 Jensen, Arne; Nenciu, Gheorghe 1 2009 Bounds on resonances for Stark-Wannier und related Hamiltonians. Zbl 0676.47028 Jensen, Arne 1 1988 Resolvent expansions for the Schrödinger operator on the discrete half-line. Zbl 1368.81068 Ito, Kenichi; Jensen, Arne 1 2017 Uniqueness results for transient dynamics of quantum systems. Zbl 1137.81015 Jensen, Arne; Nenciu, Gheorge 1 2007 Space-time scattering for the Schrödinger equation. Zbl 1021.34069 Jensen, Arne 1 1998 Discrete approximations to Dirac operators and norm resolvent convergence. Zbl 07722582 Cornean, Horia; Garde, Henrik; Jensen, Arne 1 2022 Continuum limit for lattice Schrödinger operators. Zbl 1492.81085 Isozaki, Hiroshi; Jensen, Arne 4 2022 Discrete approximations to Dirac operators and norm resolvent convergence. Zbl 07722582 Cornean, Horia; Garde, Henrik; Jensen, Arne 1 2022 Norm resolvent convergence of discretized Fourier multipliers. Zbl 07384280 Cornean, Horia; Garde, Henrik; Jensen, Arne 4 2021 Hypergeometric expression for the resolvent of the discrete Laplacian in low dimensions. Zbl 1496.47012 Ito, Kenichi; Jensen, Arne 3 2021 Branching form of the resolvent at thresholds for multi-dimensional discrete Laplacians. Zbl 1496.47011 Ito, Kenichi; Jensen, Arne 5 2019 Instability of resonances under Stark perturbations. Zbl 1407.81126 Jensen, Arne; Yajima, Kenji 2 2019 On the adiabatic theorem when eigenvalues dive into the continuum. Zbl 1392.81123 Cornean, H. D.; Jensen, A.; Knörr, H. K.; Nenciu, G. 3 2018 Resolvent expansions for the Schrödinger operator on the discrete half-line. Zbl 1368.81068 Ito, Kenichi; Jensen, Arne 1 2017 A complete classification of threshold properties for one-dimensional discrete Schrödinger operators. Zbl 1318.81021 Ito, Kenichi; Jensen, Arne 7 2015 Metastable states when the Fermi golden rule constant vanishes. Zbl 1308.81093 Cornean, Horia D.; Jensen, Arne; Nenciu, Gheorghe 6 2015 Memory effects in non-interacting mesoscopic transport. Zbl 1310.82042 Cornean, Horia D.; Jensen, Arne; Nenciu, Gheorghe 4 2014 Perturbation of near threshold eigenvalues: crossover from exponential to non-exponential decay laws. Zbl 1217.81082 Dinu, Victor; Jensen, Arne; Nenciu, Gheorghe 5 2011 Nonexponential decay laws in perturbation theory of near threshold eigenvalues. Zbl 1200.81062 Dinu, Victor; Jensen, Arne; Nenciu, Gheorghe 6 2009 Exponential decay laws in perturbation theory of threshold and embedded eigenvalues. Zbl 1175.81138 Jensen, Arne; Nenciu, Gheorghe 1 2009 On \(L^{p}\) boundedness of wave operators for 4-dimensional Schrödinger operators with threshold singularities. Zbl 1182.35089 Jensen, Arne; Yajima, Kenji 10 2008 On the Fermi golden rule: degenerate eigenvalues. Zbl 1199.81021 Jensen, Arne; Nenciu, Gheorghe 2 2008 Uniqueness results for transient dynamics of quantum systems. Zbl 1137.81015 Jensen, Arne; Nenciu, Gheorge 1 2007 The Fermi golden rule and its form at thresholds in odd dimensions. Zbl 1109.81030 Jensen, Arne; Nenciu, Gheorghe 16 2006 Schrödinger operators on the half line: resolvent expansions and the Fermi golden rule at thresholds. Zbl 1111.81057 Jensen, Arne; Nenciu, Gheorghe 4 2006 The Landauer-Büttiker formula and resonant quantum transport. Zbl 1170.82373 Cornean, Horia D.; Jensen, Arne; Moldoveanu, Valeriu 3 2006 A rigorous proof of the Landauer-Büttiker formula. Zbl 1067.82055 Cornean, Horia D.; Jensen, Arne; Moldoveanu, Valeriu 16 2005 Erratum: A unified approach to resolvent expansions at thresholds. Zbl 1055.81624 Jensen, Arne; Nenciu, Gheorghe 14 2004 Local time-decay of solutions to Schrödinger equations with time-periodic potentials. Zbl 1138.81018 Galtbayar, A.; Jensen, A.; Yajima, K. 9 2004 The Nelson model with less than two photons. Zbl 1028.81057 Galtbayar, A.; Jensen, A.; Yajima, K. 6 2003 A remark on \(L^{p}\) -boundedness of wave operators for two dimensional Schrödinger operators. Zbl 1057.47011 Jensen, Arne; Yajima, Kenji 17 2002 Perturbation of eigenvalues embedded at a threshold. Zbl 1094.81024 Jensen, A.; Melgaard, M. 9 2002 On perturbation of eigenvalues embedded at thresholds in a two channel model. Zbl 1199.81020 Jensen, Arne 1 2002 A unified approach to resolvent expansions at thresholds. Zbl 1029.81067 Jensen, Arne; Nenciu, Gheorghe 92 2001 Ripples in mathematics. The discrete wavelet transform. Zbl 0989.42013 Jensen, Arne; La Cour-Harbo, Anders 18 2001 On a unified approach to resolvent expansions for Schrödinger operators. Zbl 0991.35502 Jensen, Arne 2 2001 Tosio Kato (1917–1999). Zbl 1036.01507 Cordes, Heinz; Jensen, Arne; Kuroda, S. T.; Ponce, Gustavo; Simon, Barry 1 2000 Space-time scattering for the Schrödinger equation. Zbl 1021.34069 Jensen, Arne 1 1998 The 2D Schrödinger equation for a neutral pair in a constant magnetic field. Zbl 0888.47052 Jensen, Arne; Nakamura, Shu 1 1997 \(L^ p\)-mapping properties of functions of Schrödinger operators and their applications to scattering theory. Zbl 0841.35096 Jensen, Arne; Nakamura, Shu 20 1995 Mapping properties of functions of Schrödinger operators between \(L^ p\)-spaces and Besov spaces. Zbl 0815.47012 Jensen, Arne; Nakamura, Shu 31 1994 Results in \(L^ p({\mathbb{R}}^ d)\) for the Schrödinger equation with a time-dependent potential. Zbl 0792.35037 Jensen, Arne 6 1994 Scattering theory for Stark Hamiltonians. Zbl 0827.47006 Jensen, Arne 3 1994 Existence and non-existence results for wave operators for perturbations of the Laplacian. Zbl 0831.35145 Jensen, Arne; Ozawa, Tohru 11 1993 Mapping properties of wave and scattering operators for two-body Schrödinger operators. Zbl 0761.35074 Jensen, Arne; Nakamura, Shu 15 1992 High energy resolvent estimates for Schrödinger operators. Zbl 0815.47062 Jensen, Arne 1 1992 On the long range scattering for Stark Hamiltonians. Zbl 0736.35077 Jensen, Arne; Yajima, Kenji 13 1991 Classical and quantum scattering for Stark Hamiltonians with slowly decaying potentials. Zbl 0768.47002 Jensen, Arne; Ozawa, Tohru 2 1991 High energy resolvent estimates for generalized many-body Schrödinger operators. Zbl 0717.35066 Jensen, Arne 11 1989 Perturbation results for Stark effect resonances. Zbl 0655.35061 Jensen, Arne 7 1989 Fundamental solutions and eigenfunction expansions for Schrödinger operators. II. Eigenfunction expansions. Zbl 0641.35049 Jensen, Arne; Kitada, Hitoshi 7 1988 Queueing theory and its applications. Liber amicorum for J. W. Cohen. Zbl 0657.60114 2 1988 Bounds on resonances for Stark-Wannier und related Hamiltonians. Zbl 0676.47028 Jensen, Arne 1 1988 Scattering theory for Hamiltonians with Stark effect. Zbl 0677.34026 Jensen, Arne 4 1987 Commutator methods and a smoothing property of the Schrödinger evolution group. Zbl 0594.35032 Jensen, Arne 15 1986 Asymptotic completeness for a new class of Stark effect Hamiltonians. Zbl 0606.34020 Jensen, Arne 8 1986 Commutator methods and asymptotic completeness for one-dimensional Stark effect Hamiltonians. Zbl 0608.35013 Jensen, Arne 2 1986 Propagation estimates for Schrödinger-type operators. Zbl 0577.35089 Jensen, Arne 26 1985 Commutator methods and Besov space estimates for Schrödinger operators. Zbl 0574.35022 Jensen, Arne; Perry, Peter 13 1985 Multiple commutator estimates and resolvent smoothness in quantum scattering theory. Zbl 0561.47007 Jensen, Arne; Mourre, Éric; Perry, Peter 65 1984 Spectral properties of Schrödinger operators and time-decay of the wave functions. Results in \(L^ 2(R^ 4)\). Zbl 0564.35024 Jensen, Arne 46 1984 On Lavine’s formula for time-delay. Zbl 0529.46006 Jensen, Arne 7 1984 A stationary proof of Lavine’s formula for time-delay. Zbl 0517.47010 Jensen, Arne 8 1983 Time-delay in potential scattering theory. Some ”geometric” results. Zbl 0483.47031 Jensen, Arne 26 1981 Spectral properties of Schrödinger operators and time-decay of the wave functions results in \(L^2(\mathbb{R}^m),\;m\geq 5\). Zbl 0437.47009 Jensen, Arne 78 1980 Resonances in an abstract analytic scattering theory. Zbl 0462.47010 Jensen, Arne 10 1980 Spectral properties of Schrödinger operators and time-decay of the wave functions. Zbl 0448.35080 Jensen, Arne; Kato, Tosio 267 1979 Asymptotic behavior of the scattering phase for exterior domains. Zbl 0419.35067 Jensen, Arne; Kato, Tosio 35 1978 Local decay in time of solutions to Schrödinger’s equation with a dilation-analytic interaction. Zbl 0397.35056 Jensen, Arne 14 1978 Some remarks on eigenfunction expansions for Schrödinger operators with non-local potentials. Zbl 0372.47004 Jensen, Arne 1 1978 Local distortion technique, resonances, and poles of the S-matrix. Zbl 0361.47018 Jensen, Arne 15 1977 all cited Publications top 5 cited Publications all top 5 Cited by 531 Authors 31 Jensen, Arne 24 Kopylova, Elena A. 19 Green, William R. 18 Wang, Xueping 16 Goldberg, Michael Joseph 16 Soffer, Avraham 14 Erdoğan, Mehmet Burak 14 Komech, Alexander Ilich 13 Gesztesy, Fritz 13 Nenciu, Gheorghe 13 Yajima, Kenji 12 Richard, Serge 12 Tiedra de Aldecoa, Rafael 11 Skibsted, Erik 11 Tamura, Hideo 10 Cornean, Horia D. 10 Pillet, Claude-Alain 9 Adachi, Tadayoshi 9 Cuccagna, Scipio 8 Gérard, Christian 8 Ozawa, Tohru 8 Schlag, Wilhelm 7 Albeverio, Sergio A. 7 Hassell, Andrew 7 Simon, Barry 7 Vasy, András 7 Weder, Ricardo A. 7 Yafaev, Dimitri R. 6 Balslev, Erik 6 Bollé, D. 6 Boussaid, Nabile 6 Chen, Peng 6 Comech, Andrew 6 Ishida, Atsuhide 6 Ito, Kenichi 6 Melgaard, Michael 6 Møller, Jacob Schach 6 Robert, Didier 5 Bony, Jean-François 5 Bouclet, Jean-Marc 5 Bruneau, Laurent 5 Faupin, Jérémy 5 Golénia, Sylvain 5 Herbst, Ira W. 5 Isozaki, Hiroshi 5 Jakšić, Vojkan 5 Mizutani, Haruya 5 Nakamura, Shu 5 Nicola, Fabio 5 Osborn, T. A. 5 Purice, Radu 5 Yan, Lixin 5 Yao, Xiaohua 5 Zheng, Shijun 4 Beceanu, Marius 4 Ben-Artzi, Matania 4 Bourget, Olivier 4 Briet, Philippe 4 Carlone, Raffaele 4 Christiansen, Tanya J. 4 Cortés, Víctor H. 4 Duclos, Pierre 4 Dudnikova, Tat’yana V. 4 Guillarmou, Colin 4 Hayashi, Nakao 4 Høegh-Krohn, Raphael J. 4 Korotyaev, Evgeny L. 4 Li, Ji 4 Martinez, André 4 Perry, Peter A. 4 Rasmussen, Morten Grud 4 Sinha, Kalyan B. 4 Strohmaier, Alexander 4 Tsai, Tai-Peng 4 Weinstein, Michael I. 4 Zworski, Maciej 3 Agmon, Shmuel 3 Akahori, Takafumi 3 Asch, Joachim 3 Cacciapuoti, Claudio 3 Cordero, Elena 3 D’Ancona, Piero 3 Danneels, C. 3 Duong, Xuan Thinh 3 Dürr, Detlef 3 Fanelli, Luca 3 Feng, Hongliang 3 Fernández, Claudio A. 3 Finco, Domenico 3 Galtbayar, Artbazar 3 Georgiev, Vladimir S. 3 Häfner, Dietrich 3 Huang, Shanlin 3 Ito, Hiroshi T. 3 Jecko, Thierry 3 Kovařík, Hynek 3 Last, Yoram 3 Mandich, Marc-Adrien 3 McGillivray, Ivor 3 Michelangeli, Alessandro ...and 431 more Authors all top 5 Cited in 138 Serials 60 Journal of Mathematical Physics 56 Communications in Mathematical Physics 56 Journal of Functional Analysis 30 Journal of Differential Equations 27 Communications in Partial Differential Equations 25 Journal of Mathematical Analysis and Applications 23 Annales Henri Poincaré 21 Reviews in Mathematical Physics 21 Annales de l’Institut Henri Poincaré. Physique Théorique 15 Letters in Mathematical Physics 12 Transactions of the American Mathematical Society 11 Duke Mathematical Journal 8 Journal d’Analyse Mathématique 7 Advances in Mathematics 7 Annales de l’Institut Fourier 7 Publications of the Research Institute for Mathematical Sciences, Kyoto University 7 Journal de Mathématiques Pures et Appliquées. Neuvième Série 6 Mathematische Zeitschrift 5 Journal of Statistical Physics 5 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section A. Physique Théorique 5 Integral Equations and Operator Theory 4 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 4 Journal of the Mathematical Society of Japan 4 Mathematische Annalen 4 Mathematische Nachrichten 4 SIAM Journal on Mathematical Analysis 4 Russian Journal of Mathematical Physics 4 Discrete and Continuous Dynamical Systems 4 Analysis in Theory and Applications 4 Journal of Spectral Theory 3 Applicable Analysis 3 Archive for Rational Mechanics and Analysis 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Proceedings of the American Mathematical Society 3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 3 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 3 Communications on Pure and Applied Analysis 3 Proceedings of the Steklov Institute of Mathematics 3 Complex Analysis and Operator Theory 3 Analysis & PDE 3 Bulletin of Mathematical Sciences 2 Communications on Pure and Applied Mathematics 2 Mathematical Methods in the Applied Sciences 2 Russian Mathematical Surveys 2 Ukrainian Mathematical Journal 2 Functional Analysis and its Applications 2 Illinois Journal of Mathematics 2 Monatshefte für Mathematik 2 Nagoya Mathematical Journal 2 Annals of Global Analysis and Geometry 2 Physica D 2 Revista Matemática Iberoamericana 2 Forum Mathematicum 2 The Journal of Geometric Analysis 2 Applied Mathematical Modelling 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 SIAM Journal on Applied Mathematics 2 Bulletin of the American Mathematical Society. New Series 2 NoDEA. Nonlinear Differential Equations and Applications 2 Bulletin des Sciences Mathématiques 2 Mathematical Physics, Analysis and Geometry 2 Journal of the European Mathematical Society (JEMS) 2 Journal of the Institute of Mathematics of Jussieu 2 Journal of Physics A: Mathematical and Theoretical 2 Pure and Applied Analysis 1 Computer Methods in Applied Mechanics and Engineering 1 International Journal of Theoretical Physics 1 Inverse Problems 1 Nonlinearity 1 Reports on Mathematical Physics 1 Studia Mathematica 1 Theoretical and Mathematical Physics 1 Arkiv för Matematik 1 Fortschritte der Physik 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Bulletin of the London Mathematical Society 1 Colloquium Mathematicum 1 Hokkaido Mathematical Journal 1 Journal of Computational and Applied Mathematics 1 Journal of the Korean Mathematical Society 1 Journal of Soviet Mathematics 1 Memoirs of the American Mathematical Society 1 Michigan Mathematical Journal 1 Osaka Journal of Mathematics 1 Proceedings of the Japan Academy. Series A 1 Studies in Applied Mathematics 1 Tôhoku Mathematical Journal. Second Series 1 Advances in Applied Mathematics 1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 1 Circuits, Systems, and Signal Processing 1 Acta Applicandae Mathematicae 1 Asymptotic Analysis 1 Machine Learning 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Journal of Statistical Computation and Simulation 1 Acta Mathematica Sinica. New Series 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 International Journal of Modern Physics D 1 Calculus of Variations and Partial Differential Equations ...and 38 more Serials all top 5 Cited in 41 Fields 442 Partial differential equations (35-XX) 317 Quantum theory (81-XX) 217 Operator theory (47-XX) 37 Ordinary differential equations (34-XX) 32 Global analysis, analysis on manifolds (58-XX) 30 Harmonic analysis on Euclidean spaces (42-XX) 26 Statistical mechanics, structure of matter (82-XX) 25 Functional analysis (46-XX) 24 Dynamical systems and ergodic theory (37-XX) 16 Difference and functional equations (39-XX) 13 Mechanics of particles and systems (70-XX) 12 Optics, electromagnetic theory (78-XX) 11 Numerical analysis (65-XX) 9 Probability theory and stochastic processes (60-XX) 5 Relativity and gravitational theory (83-XX) 4 Mechanics of deformable solids (74-XX) 4 Fluid mechanics (76-XX) 4 Information and communication theory, circuits (94-XX) 3 Combinatorics (05-XX) 3 Integral equations (45-XX) 3 Differential geometry (53-XX) 3 Systems theory; control (93-XX) 2 History and biography (01-XX) 2 Number theory (11-XX) 2 \(K\)-theory (19-XX) 2 Measure and integration (28-XX) 2 Functions of a complex variable (30-XX) 2 Special functions (33-XX) 2 Statistics (62-XX) 2 Geophysics (86-XX) 2 Biology and other natural sciences (92-XX) 1 General and overarching topics; collections (00-XX) 1 Algebraic geometry (14-XX) 1 Topological groups, Lie groups (22-XX) 1 Real functions (26-XX) 1 Potential theory (31-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Approximations and expansions (41-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Computer science (68-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year