# zbMATH — the first resource for mathematics

## Cycon, Hans L.

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 Author ID: cycon.hans-l Published as: Cycon, H.; Cycon, H. L.; Cycon, Hans L.
 Documents Indexed: 10 Publications since 1977, including 1 Book
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#### Co-Authors

 5 single-authored 1 Erdmann, Carsten 1 Froese, Richard 1 Hellwig, Karl-Eberhard 1 Kirsch, Werner 1 Marpe, Detlev 1 Perry, Peter A. 1 Simon, Barry 1 Wiegand, Thomas
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#### Serials

 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Journal of Mathematical Physics 1 Reports on Mathematical Physics 1 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section A. Physique Théorique 1 International Journal of Mathematics and Mathematical Sciences 1 Mathematische Zeitschrift 1 Journal of Operator Theory
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#### Fields

 8 Operator theory (47-XX) 7 Partial differential equations (35-XX) 3 Quantum theory (81-XX) 2 Probability theory and stochastic processes (60-XX) 1 Measure and integration (28-XX) 1 Ordinary differential equations (34-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Functional analysis (46-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Numerical analysis (65-XX) 1 Computer science (68-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Information and communication theory, circuits (94-XX)

#### Citations contained in zbMATH

9 Publications have been cited 600 times in 595 Documents Cited by Year
Schrödinger operators, with application to quantum mechanics and global geometry. Zbl 0619.47005
Cycon, H. L.; Froese, R. G.; Kirsch, W.; Simon, B.
1987
Conditional expectations in generalized probability theory. Zbl 0364.60007
Cycon, H.; Hellwig, K.-E.
1977
Local time decay of high energy scattering states for the Schrödinger equation. Zbl 0538.35026
Cycon, Hans L.; Perry, Peter A.
1985
A theorem on ”localized” self-adjointness of Schrödinger operators with $$L^ 1-$$potentials. Zbl 0497.35025
Cycon, Hans L.
1982
An upper bound for the local time-decay of scattering solutions for the Schrödinger equation with Coulomb potential. Zbl 0538.35025
Cycon, Hans L.
1983
On the stability of self-adjointness of Schrödinger operators under positive perturbations. Zbl 0462.35019
Cycon, Hans L.
1980
Absence of high energy resonances for many-body Schrödinger operators. Zbl 0646.35017
Cycon, H. L.; Erdmann, C.
1986
Absence of singular continuous spectrum for two-body Schrödinger operators with long-range potentials (a new proof). Zbl 0523.35034
Cycon, Hans L.
1983
On the form sum and the Friedrichs extension of Schrödinger operators with singular potentials. Zbl 0489.47030
Cycon, Hans L.
1981
Schrödinger operators, with application to quantum mechanics and global geometry. Zbl 0619.47005
Cycon, H. L.; Froese, R. G.; Kirsch, W.; Simon, B.
1987
Absence of high energy resonances for many-body Schrödinger operators. Zbl 0646.35017
Cycon, H. L.; Erdmann, C.
1986
Local time decay of high energy scattering states for the Schrödinger equation. Zbl 0538.35026
Cycon, Hans L.; Perry, Peter A.
1985
An upper bound for the local time-decay of scattering solutions for the Schrödinger equation with Coulomb potential. Zbl 0538.35025
Cycon, Hans L.
1983
Absence of singular continuous spectrum for two-body Schrödinger operators with long-range potentials (a new proof). Zbl 0523.35034
Cycon, Hans L.
1983
A theorem on ”localized” self-adjointness of Schrödinger operators with $$L^ 1-$$potentials. Zbl 0497.35025
Cycon, Hans L.
1982
On the form sum and the Friedrichs extension of Schrödinger operators with singular potentials. Zbl 0489.47030
Cycon, Hans L.
1981
On the stability of self-adjointness of Schrödinger operators under positive perturbations. Zbl 0462.35019
Cycon, Hans L.
1980
Conditional expectations in generalized probability theory. Zbl 0364.60007
Cycon, H.; Hellwig, K.-E.
1977
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#### Cited by 691 Authors

 17 Damanik, David 12 Helffer, Bernard 12 Simon, Barry 11 Sigal, Israel Michael 9 Gérard, Christian 9 Jitomirskaya, Svetlana Ya. 9 Nakamura, Shu 8 Albeverio, Sergio A. 8 Raymond, Nicolas 7 Erdős, László 7 Feireisl, Eduard 7 Hislop, Peter D. 7 Lenz, Daniel H. 6 Chuburin, Yuriĭ Pavlovich 6 de Oliveira, César R. 6 Exner, Pavel 6 Fournais, Søren 6 Pinchover, Yehuda 5 Bourget, Olivier 5 Daletskii, Alexei 5 Denisov, Sergey A. 5 Fanelli, Luca 5 Froese, Richard 5 Germinet, François 5 Jecko, Thierry 5 Kirsch, Werner 5 Nier, Francis 5 Stolz, Gunter 5 Vega, Luis 4 Adachi, Tadayoshi 4 Astaburuaga, María Angélica 4 Bach, Volker 4 Combes, Jean-Michel 4 Cortés, Víctor H. 4 Danilov, Leonid Ivanovich 4 Gesztesy, Fritz 4 Gorodetski, Anton 4 Graf, Gian Michele 4 Hundertmark, Dirk 4 Jakšić, Vojkan 4 Jensen, Arne 4 Kachmar, Ayman 4 Kawamoto, Masaki 4 Kiselev, Alexander A. 4 Klein, Abel 4 Kuchment, Peter A. 4 Łaba, Izabella 4 Milatovic, Ognjen 4 Sundqvist, Mikael Persson 4 Portmann, Fabian 4 Rogers, Alice 4 Schach Møller, Jacob 4 Sjöstrand, Johannes 4 Soffer, Avraham 4 Solovej, Jan Philip 4 Veselić, Ivan 4 Vougalter, Vitali 4 Wang, Wei-Min 4 Yajima, Kenji 3 Avila Cordeiro de Melo, Artur 3 Avron, Joseph E. 3 Beckus, Siegfried 3 Boutet de Monvel, Anne Marie 3 Carles, Rémi 3 Davies, Edward Brian 3 Elgart, Alexander 3 Evans, William Desmond 3 Fröhlich, Jürg Martin 3 Gordon, Alexander Ya. 3 Knill, Oliver 3 Kovařík, Hynek 3 Krejčiřík, David 3 Le Peutrec, Dorian 3 Lewis, Roger T. 3 Loss, Michael 3 Mantica, Giorgio 3 Marx, Christoph A. 3 Ozawa, Tohru 3 Perry, Peter A. 3 Pillet, Claude-Alain 3 Post, Olaf 3 Purice, Radu 3 Raikov, Georgi D. 3 Rosenberger, Elke 3 Ruskai, Mary Beth 3 Schenker, Jeffrey H. 3 Shamis, Mira 3 Shubin, Mikhail Aleksandrovich 3 Skibsted, Erik 3 Vugalter, Semjon A. 3 Weinstein, Michael I. 3 Wu, Liming 2 Aizenman, Michael 2 Almog, Yaniv 2 Anapolitanos, Ioannis 2 Ballesteros, Miguel 2 Barbaroux, Jean-Marie 2 Barceló, Juan Antonio 2 Bonnaillie-Noël, Virginie 2 Bony, Jean-François ...and 591 more Authors
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#### Cited in 126 Serials

 68 Communications in Mathematical Physics 61 Journal of Functional Analysis 40 Journal of Mathematical Physics 22 Journal of Mathematical Analysis and Applications 20 Annales de l’Institut Henri Poincaré. Physique Théorique 17 Letters in Mathematical Physics 16 Journal of Statistical Physics 16 Annales Henri Poincaré 15 Duke Mathematical Journal 12 Proceedings of the American Mathematical Society 11 Theoretical and Mathematical Physics 10 Advances in Mathematics 10 Annales de l’Institut Fourier 9 Mathematical Notes 9 Journal of Geometry and Physics 9 Integral Equations and Operator Theory 9 Transactions of the American Mathematical Society 8 Reviews in Mathematical Physics 8 Mathematische Zeitschrift 7 Archive for Rational Mechanics and Analysis 7 Journal d’Analyse Mathématique 7 Mathematische Annalen 7 Publications of the Research Institute for Mathematical Sciences, Kyoto University 7 Communications in Partial Differential Equations 7 Journal of Spectral Theory 6 Physics Letters. A 6 Journal of Differential Equations 5 Reports on Mathematical Physics 5 St. Petersburg Mathematical Journal 5 Mathematical Physics, Analysis and Geometry 5 Journal of the European Mathematical Society (JEMS) 4 Functional Analysis and its Applications 4 Geometric and Functional Analysis. GAFA 4 Calculus of Variations and Partial Differential Equations 3 Inventiones Mathematicae 3 Journal of Approximation Theory 3 Journal of Computational and Applied Mathematics 3 Constructive Approximation 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 SIAM Journal on Mathematical Analysis 3 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 3 Mémoires de la Société Mathématique de France. Nouvelle Série 3 Doklady Mathematics 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Journal of Computational Physics 2 Arkiv för Matematik 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Semigroup Forum 2 Ergodic Theory and Dynamical Systems 2 Acta Applicandae Mathematicae 2 Probability Theory and Related Fields 2 Journal of the American Mathematical Society 2 Forum Mathematicum 2 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 2 Bulletin of the American Mathematical Society. New Series 2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 2 Russian Journal of Mathematical Physics 2 Infinite Dimensional Analysis, Quantum Probability and Related Topics 2 Differential Equations 2 Communications on Pure and Applied Analysis 2 Journal of Fixed Point Theory and Applications 2 Advances in Mathematical Physics 2 Journal of Pseudo-Differential Operators and Applications 2 Bulletin of Mathematical Sciences 2 Izvestiya Instituta Matematiki i Informatiki. Udmurtskiĭ Gosudarstvennyĭ Universitet 1 International Journal of Modern Physics B 1 Classical and Quantum Gravity 1 Computer Methods in Applied Mechanics and Engineering 1 International Journal of Theoretical Physics 1 Israel Journal of Mathematics 1 Nonlinearity 1 Rocky Mountain Journal of Mathematics 1 Russian Mathematical Surveys 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Mathematics of Computation 1 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section A. Physique Théorique 1 The Annals of Probability 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Aplikace Matematiky 1 Archiv der Mathematik 1 Journal of Applied Probability 1 Journal für die Reine und Angewandte Mathematik 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Siberian Mathematical Journal 1 European Journal of Combinatorics 1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 1 Zeitschrift für Analysis und ihre Anwendungen 1 Annals of Global Analysis and Geometry 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Physica D 1 Journal of Theoretical Probability 1 Applied Mathematics Letters 1 Annales Scientifiques de l’Université Blaise Pascal Clermont-Ferrand II. Probabilités et Applications 1 Science in China. Series A 1 Sugaku Expositions 1 Differential Geometry and its Applications 1 The Journal of Geometric Analysis 1 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 1 Annals of Physics ...and 26 more Serials
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#### Cited in 45 Fields

 302 Partial differential equations (35-XX) 299 Quantum theory (81-XX) 229 Operator theory (47-XX) 87 Statistical mechanics, structure of matter (82-XX) 65 Global analysis, analysis on manifolds (58-XX) 43 Ordinary differential equations (34-XX) 43 Probability theory and stochastic processes (60-XX) 38 Functional analysis (46-XX) 31 Dynamical systems and ergodic theory (37-XX) 21 Difference and functional equations (39-XX) 16 Optics, electromagnetic theory (78-XX) 12 Harmonic analysis on Euclidean spaces (42-XX) 10 Fluid mechanics (76-XX) 9 Mechanics of particles and systems (70-XX) 8 Differential geometry (53-XX) 8 Manifolds and cell complexes (57-XX) 7 Potential theory (31-XX) 7 Calculus of variations and optimal control; optimization (49-XX) 7 Numerical analysis (65-XX) 6 Topological groups, Lie groups (22-XX) 6 Measure and integration (28-XX) 6 Special functions (33-XX) 5 Number theory (11-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Real functions (26-XX) 5 Relativity and gravitational theory (83-XX) 4 Combinatorics (05-XX) 4 Functions of a complex variable (30-XX) 4 Several complex variables and analytic spaces (32-XX) 4 Integral transforms, operational calculus (44-XX) 3 $$K$$-theory (19-XX) 2 History and biography (01-XX) 2 Approximations and expansions (41-XX) 2 Abstract harmonic analysis (43-XX) 2 Convex and discrete geometry (52-XX) 2 Mechanics of deformable solids (74-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Biology and other natural sciences (92-XX) 1 General and overarching topics; collections (00-XX) 1 Algebraic geometry (14-XX) 1 Nonassociative rings and algebras (17-XX) 1 Integral equations (45-XX) 1 General topology (54-XX) 1 Statistics (62-XX) 1 Computer science (68-XX)