## Demuth, Michael

Compute Distance To:
 Author ID: demuth.michael Published as: Demuth, Michael; Demuth, M. Homepage: https://www.mathematik.tu-clausthal.de/personen/michael-demuth/ External Links: MGP
 Documents Indexed: 74 Publications since 1974, including 10 Books 14 Contributions as Editor Reviewing Activity: 80 Reviews Co-Authors: 29 Co-Authors with 56 Joint Publications 1,061 Co-Co-Authors
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### Co-Authors

 31 single-authored 12 Schulze, Bert-Wolfgang 11 Van Casteren, Jan A. 7 Schrohe, Elmar 6 Hansmann, Marcel 5 Baumgärtel, Hellmut 5 Katriel, Guy 5 Kirsch, Werner 5 McGillivray, Ivor 4 Wollenberg, Manfred 3 Sjöstrand, Johannes 2 Albeverio, Sergio A. 2 Brasche, Johannes Friedemann 2 Gesztesy, Fritz 2 Giere, Eckhard 2 Hanauska, Franz 2 Jeske, Frank 2 Noll, André 2 Sinha, Kalyan B. 1 Arendt, Wolfgang 1 Bruning, Erwin Albert Karl 1 Exner, Pavel 1 Gramsch, Bernhard 1 Neidhardt, Hagen 1 Ouhabaz, El Maati 1 Stollmann, Peter 1 Stolz, Gunter 1 Witt, Ingo 1 Zagrebnov, Valentin A. 1 Zhao, Zhongxin
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### Serials

 13 Mathematische Nachrichten 8 Operator Theory: Advances and Applications 5 Mathematical Topics 4 Journal of Functional Analysis 3 Letters in Mathematical Physics 2 Journal of Mathematical Analysis and Applications 2 Integral Equations and Operator Theory 1 Helvetica Physica Acta 1 Indian Journal of Pure & Applied Mathematics 1 Journal of Mathematical Physics 1 Reports on Mathematical Physics 1 Reviews in Mathematical Physics 1 Mitteilungen der Mathematischen Gesellschaft der Deutschen Demokratischen Republik 1 Annales Scientifiques de l’Université Blaise Pascal Clermont-Ferrand II. Probabilités et Applications 1 Communications in Partial Differential Equations 1 Annales de l’Institut Henri Poincaré. Physique Théorique 1 Mathematical Physics, Analysis and Geometry 1 Annales Henri Poincaré 1 Analysis and Applications (Singapore) 1 Progress in Mathematical Physics 1 Communications in Mathematical Analysis 1 Probability and its Applications 1 Mathematical Research
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### Fields

 70 Operator theory (47-XX) 37 Partial differential equations (35-XX) 33 Quantum theory (81-XX) 24 Probability theory and stochastic processes (60-XX) 15 General and overarching topics; collections (00-XX) 6 Global analysis, analysis on manifolds (58-XX) 3 Potential theory (31-XX) 3 Functional analysis (46-XX) 1 History and biography (01-XX) 1 Functions of a complex variable (30-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral equations (45-XX) 1 Differential geometry (53-XX) 1 Numerical analysis (65-XX) 1 Fluid mechanics (76-XX) 1 Statistical mechanics, structure of matter (82-XX)

### Citations contained in zbMATH Open

44 Publications have been cited 263 times in 177 Documents Cited by Year
On the discrete spectrum of non-selfadjoint operators. Zbl 1183.47016
Demuth, Michael; Hansmann, Marcel; Katriel, Guy
2009
Stochastic spectral theory for selfadjoint Feller operators: A functional integration approach. Zbl 0980.60005
Demuth, Michael; van Casteren, Jan A.
2000
Eigenvalues of non-selfadjoint operators: a comparison of two approaches. Zbl 1280.47005
Demuth, Michael; Hansmann, Marcel; Katriel, Guy
2013
Determining spectra in quantum theory. Zbl 1082.81003
Demuth, Michael; Krishna, M.
2005
On spectral theory of selfadjoint Feller generators. Zbl 0715.60093
Demuth, M.; Van Casteren, J. A.
1989
Decoupling by a projection. Zbl 0426.47007
Baumgärtel, Hellmut; Demuth, Michael
1979
Trace norm estimates for products of integral operators and diffusion semigroups. Zbl 0842.47013
Demuth, Michael; Stollmann, Peter; Stolz, Günter; van Casteren, Jan
1995
Eigenvalue inequalities in terms of Schatten norm bounds on differences of semigroups, and application to Schrödinger operators. Zbl 1156.81019
Demuth, Michael; Katriel, Guy
2008
Open problems: Lieb-Thirring type inequalities for Schrödinger operators with a complex-valued potential. Zbl 1279.47071
Demuth, Michael; Hansmann, Marcel; Katriel, Guy
2013
On large coupling operator norm convergences of resolvent differences. Zbl 0732.47014
Demuth, M.
1991
Dynkin’s formula and large coupling convergence. Zbl 1068.31003
Brasche, J.; Demuth, M.
2005
Schrödinger operators – geometric estimates in terms of the occupation time. Zbl 0822.35032
Demuth, M.; Kirsch, W.; McGillivray, I.
1995
On scattering of diffusion process generators. Zbl 0444.60063
Demuth, M.
1980
Estimating the number of eigenvalues of linear operators on Banach spaces. Zbl 1310.47015
Demuth, M.; Hanauska, F.; Hansmann, M.; Katriel, G.
2015
On topics in spectral and stochastic analysis for Schrödinger operators. Zbl 0733.60088
Demuth, Michael
1991
Hölder’s inequality for perturbations of positive semigroups by potentials. Zbl 1084.47034
Arendt, Wolfgang; Demuth, Michael
2006
Pole approximation and spectral concentration. Zbl 0342.47010
Demuth, M.
1976
On differences of heat semigroups. Zbl 0708.47026
van Casteren, J. A.; Demuth, M.
1989
On the perturbation theory of instable isolated eigenvalues. Zbl 0331.47011
Demuth, M.
1974
On the distribution of the discrete spectrum of nuclearly perturbed operators in Banach spaces. Zbl 1351.47002
Demuth, Michael; Hanauska, Franz
2015
Capacity estimates for the scattering phase. Zbl 0939.35131
Demuth, M.; McGillivray, I.
1999
Schrödinger operators with empty singularly continuous spectra. Zbl 0954.47003
Demuth, Michael; Sinha, Kalyan B.
1999
Integral conditions for the asymptotic completeness of two-space scattering systems. Zbl 1080.47501
Demuth, Michael
1998
Framework and results of stochastic spectral analysis. Zbl 0818.60066
Demuth, Michael; van Casteren, Jan
1994
Boundary value problems, Schrödinger operators, deformation quantization. Zbl 0830.00010
1995
Pseudo-differential calculus and mathematical physics. Zbl 0797.00001
1994
Resolvent differences for general obstacles. Zbl 1207.35110
Brasche, J.; Demuth, M.
2005
Zeitabhängige Streutheorie für Erzeuger von Markov-Prozessen mit anisotropen und singulären Potentialen. Zbl 0585.60074
Demuth, Michael
1985
Asymptotic completeness in singular potential scattering derived by geometric methods. Zbl 0605.47007
Demuth, M.
1985
Invariance of the essential spectra for perturbations with unbounded hard cores. Zbl 0632.47009
Brüning, E.; Demuth, M.; Gesztesy, F.
1987
Capacity and spectral theory. Zbl 1062.31500
Demuth, M.; McGillivray, I.; Noll, A.
1997
Evolution equations, Feshbach resonances, singular Hodge theory. Zbl 0918.00012
1999
Traces and trace norms for semigroup differences. Zbl 1001.47025
Demuth, Michael
1999
Scattering for Schrödinger operators with magnetic fields. Zbl 0892.47011
Demuth, Michael; Ouhabaz, El-Maati
1997
Spectral theory, microlocal analysis, singular manifolds. Zbl 0882.00015
1997
Completeness of scattering systems with obstacles of finite capacity. Zbl 0905.47009
van Casteren, J.; Demuth, M.
1998
On time-dependent scattering theory in Krein spaces. Zbl 0445.47019
Demuth, Michael
1980
On necessary and sufficient conditions for the Cook-criterion. Zbl 0476.35062
Demuth, M.
1983
On the role of the comparison function in the spectral theory of selfadjoint operators. Zbl 1236.47003
Demuth, Michael; Hansmann, Marcel
2011
Perturbations of generalized Schrödinger operators in stochastic spectral analysis. Zbl 0785.47036
Demuth, Michael; Van Casteren, J. A.
1992
Some results in stochastic spectral analysis. Zbl 0821.47036
van Casteren, J. A.; Demuth, M.
1994
Spectral consequences due to general Hölder’s inequalities and domination of semigroups. Zbl 1175.47004
Demuth, M.
2009
A Hilbert-Schmidt property of resolvent differences of singularly perturbed generalized Schrödinger operators. Zbl 0796.47036
Demuth, M.; van Casteren, J. A.
1993
Rate of convergence for large coupling limits by Brownian motion. Zbl 0801.60053
Demuth, M.; Jeske, F.; Kirsch, W.
1993
Estimating the number of eigenvalues of linear operators on Banach spaces. Zbl 1310.47015
Demuth, M.; Hanauska, F.; Hansmann, M.; Katriel, G.
2015
On the distribution of the discrete spectrum of nuclearly perturbed operators in Banach spaces. Zbl 1351.47002
Demuth, Michael; Hanauska, Franz
2015
Eigenvalues of non-selfadjoint operators: a comparison of two approaches. Zbl 1280.47005
Demuth, Michael; Hansmann, Marcel; Katriel, Guy
2013
Open problems: Lieb-Thirring type inequalities for Schrödinger operators with a complex-valued potential. Zbl 1279.47071
Demuth, Michael; Hansmann, Marcel; Katriel, Guy
2013
On the role of the comparison function in the spectral theory of selfadjoint operators. Zbl 1236.47003
Demuth, Michael; Hansmann, Marcel
2011
On the discrete spectrum of non-selfadjoint operators. Zbl 1183.47016
Demuth, Michael; Hansmann, Marcel; Katriel, Guy
2009
Spectral consequences due to general Hölder’s inequalities and domination of semigroups. Zbl 1175.47004
Demuth, M.
2009
Eigenvalue inequalities in terms of Schatten norm bounds on differences of semigroups, and application to Schrödinger operators. Zbl 1156.81019
Demuth, Michael; Katriel, Guy
2008
Hölder’s inequality for perturbations of positive semigroups by potentials. Zbl 1084.47034
Arendt, Wolfgang; Demuth, Michael
2006
Determining spectra in quantum theory. Zbl 1082.81003
Demuth, Michael; Krishna, M.
2005
Dynkin’s formula and large coupling convergence. Zbl 1068.31003
Brasche, J.; Demuth, M.
2005
Resolvent differences for general obstacles. Zbl 1207.35110
Brasche, J.; Demuth, M.
2005
Stochastic spectral theory for selfadjoint Feller operators: A functional integration approach. Zbl 0980.60005
Demuth, Michael; van Casteren, Jan A.
2000
Capacity estimates for the scattering phase. Zbl 0939.35131
Demuth, M.; McGillivray, I.
1999
Schrödinger operators with empty singularly continuous spectra. Zbl 0954.47003
Demuth, Michael; Sinha, Kalyan B.
1999
Evolution equations, Feshbach resonances, singular Hodge theory. Zbl 0918.00012
1999
Traces and trace norms for semigroup differences. Zbl 1001.47025
Demuth, Michael
1999
Integral conditions for the asymptotic completeness of two-space scattering systems. Zbl 1080.47501
Demuth, Michael
1998
Completeness of scattering systems with obstacles of finite capacity. Zbl 0905.47009
van Casteren, J.; Demuth, M.
1998
Capacity and spectral theory. Zbl 1062.31500
Demuth, M.; McGillivray, I.; Noll, A.
1997
Scattering for Schrödinger operators with magnetic fields. Zbl 0892.47011
Demuth, Michael; Ouhabaz, El-Maati
1997
Spectral theory, microlocal analysis, singular manifolds. Zbl 0882.00015
1997
Trace norm estimates for products of integral operators and diffusion semigroups. Zbl 0842.47013
Demuth, Michael; Stollmann, Peter; Stolz, Günter; van Casteren, Jan
1995
Schrödinger operators – geometric estimates in terms of the occupation time. Zbl 0822.35032
Demuth, M.; Kirsch, W.; McGillivray, I.
1995
Boundary value problems, Schrödinger operators, deformation quantization. Zbl 0830.00010
1995
Framework and results of stochastic spectral analysis. Zbl 0818.60066
Demuth, Michael; van Casteren, Jan
1994
Pseudo-differential calculus and mathematical physics. Zbl 0797.00001
1994
Some results in stochastic spectral analysis. Zbl 0821.47036
van Casteren, J. A.; Demuth, M.
1994
A Hilbert-Schmidt property of resolvent differences of singularly perturbed generalized Schrödinger operators. Zbl 0796.47036
Demuth, M.; van Casteren, J. A.
1993
Rate of convergence for large coupling limits by Brownian motion. Zbl 0801.60053
Demuth, M.; Jeske, F.; Kirsch, W.
1993
Perturbations of generalized Schrödinger operators in stochastic spectral analysis. Zbl 0785.47036
Demuth, Michael; Van Casteren, J. A.
1992
On large coupling operator norm convergences of resolvent differences. Zbl 0732.47014
Demuth, M.
1991
On topics in spectral and stochastic analysis for Schrödinger operators. Zbl 0733.60088
Demuth, Michael
1991
On spectral theory of selfadjoint Feller generators. Zbl 0715.60093
Demuth, M.; Van Casteren, J. A.
1989
On differences of heat semigroups. Zbl 0708.47026
van Casteren, J. A.; Demuth, M.
1989
Invariance of the essential spectra for perturbations with unbounded hard cores. Zbl 0632.47009
Brüning, E.; Demuth, M.; Gesztesy, F.
1987
Zeitabhängige Streutheorie für Erzeuger von Markov-Prozessen mit anisotropen und singulären Potentialen. Zbl 0585.60074
Demuth, Michael
1985
Asymptotic completeness in singular potential scattering derived by geometric methods. Zbl 0605.47007
Demuth, M.
1985
On necessary and sufficient conditions for the Cook-criterion. Zbl 0476.35062
Demuth, M.
1983
On scattering of diffusion process generators. Zbl 0444.60063
Demuth, M.
1980
On time-dependent scattering theory in Krein spaces. Zbl 0445.47019
Demuth, Michael
1980
Decoupling by a projection. Zbl 0426.47007
Baumgärtel, Hellmut; Demuth, Michael
1979
Pole approximation and spectral concentration. Zbl 0342.47010
Demuth, M.
1976
On the perturbation theory of instable isolated eigenvalues. Zbl 0331.47011
Demuth, M.
1974
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### Cited by 192 Authors

 19 Demuth, Michael 13 Hansmann, Marcel 7 Cuenin, Jean-Claude 5 Behrndt, Jussi 4 Albeverio, Sergio A. 4 Dolai, Dhriti Ranjan 4 Gesztesy, Fritz 4 Golinskii, Leonid Borisovich 4 Güneysu, Batu 4 Katriel, Guy 4 Keller, Matthias 4 Kirsch, Werner 4 Korotyaev, Evgeny L. 4 Krishna, Maddaly 4 Laptev, Ari 4 Sambou, Diomba 4 Stollmann, Peter 3 Arendt, Wolfgang 3 Brasche, Johannes Friedemann 3 Frank, Rupert L. 3 Jensen, Arne 3 Kolb, Martin 3 Kuzmina, N. P. 3 Leonenko, Nikolai N. 3 McGillivray, Ivor 3 Nenciu, Gheorghe 3 Ruiz-Medina, María Dolores 3 Safronov, Oleg 3 Skorokhodov, Sergey L. 3 Steinsaltz, David R. 3 Van Casteren, Jan A. 2 Agbanusi, Ikemefuna Chukwuemeka 2 Ashbaugh, Mark S. 2 Batty, Charles J. K. 2 Ben Amor, Ali 2 Bögli, Sabine 2 Cossetti, Lucrezia 2 Dinu, Victor 2 Exner, Pavel 2 Gil’, Michael Iosif 2 Grubišić, Luka 2 Gulisashvili, Archil 2 Hanauska, Franz 2 Hulko, Artem 2 Hundertmark, Dirk 2 Ibrogimov, Orif O. 2 Ichinose, Takashi 2 Kaleta, Kamil 2 Kupin, Stanislas 2 Lotoreichik, Vladimir 2 Mallick, Anish 2 Morpurgo, Carlo 2 Nistor, Victor 2 Roberts, Gareth O. 2 Štampach, František 2 ter Elst, Antonius Frederik Maria 2 Wang, Andi Q. 2 Wu, Shanhe 1 Aizenman, Michael 1 Ammann, Bernd Eberhard 1 Balti, Marwa 1 Bauer, Frank 1 Baumgärtel, Hellmut 1 BelHadjAli, Hichem 1 Borichev, Aleksandr Aleksandrovich 1 Boulton, Lyonell S. 1 Bourget, Olivier 1 Boutet de Monvel, Anne Marie 1 Branson, Thomas Patrick 1 Braun, Mathias 1 Briet, Philippe 1 Broderix, Kurt 1 Bruning, Erwin Albert Karl 1 Cassano, Biagio 1 Chovanec, Michal 1 Christiansen, Jacob Stordal 1 Coriasco, Sandro 1 Cornean, Horia D. 1 Dadashyan, K. Yu. 1 den Hollander, Frank 1 Dittrich, Jaroslav 1 Döring, Leif 1 Dubuisson, Clément 1 Erhard, Dirk 1 Faierman, Melvin 1 Fanelli, Luca 1 Favorov, Sergeĭ Yur’evich 1 Finkelshteĭn, Dmitriĭ Leonidovich 1 Fontana, Luigi 1 Giani, Stefano 1 Giere, Eckhard 1 Grummt, Robert 1 Grzywny, Tomasz 1 Gurarie, David 1 Harrell, Evans M. II 1 Hiremath, Kirankumar R. 1 Hislop, Peter D. 1 Høegh-Krohn, Raphael J. 1 Holden, Helge 1 Holzmann, Markus ...and 92 more Authors
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### Cited in 73 Serials

 14 Journal of Functional Analysis 9 Communications in Mathematical Physics 9 Journal of Mathematical Analysis and Applications 9 Letters in Mathematical Physics 7 Reviews in Mathematical Physics 7 Integral Equations and Operator Theory 7 Mathematische Nachrichten 7 Journal of Spectral Theory 6 Transactions of the American Mathematical Society 5 Journal of Mathematical Physics 5 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 4 Journal of Statistical Physics 4 Potential Analysis 3 Mathematische Annalen 3 Proceedings of the American Mathematical Society 3 Computational Mathematics and Mathematical Physics 3 Communications in Partial Differential Equations 3 Mathematical Physics, Analysis and Geometry 3 Complex Analysis and Operator Theory 2 Advances in Mathematics 2 Functional Analysis and its Applications 2 Journal für die Reine und Angewandte Mathematik 2 Mathematische Zeitschrift 2 Probability Theory and Related Fields 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Linear Algebra and its Applications 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Stochastic Processes and their Applications 2 Annales Henri Poincaré 2 Bulletin of Mathematical Sciences 1 Applicable Analysis 1 Indian Journal of Pure & Applied Mathematics 1 Journal d’Analyse Mathématique 1 Reports on Mathematical Physics 1 Theoretical and Mathematical Physics 1 Bulletin of Mathematical Biology 1 The Annals of Probability 1 Applied Mathematics and Computation 1 Duke Mathematical Journal 1 Journal of Differential Equations 1 Journal of the London Mathematical Society. Second Series 1 Stochastic Analysis and Applications 1 Applied Numerical Mathematics 1 Revista Matemática Iberoamericana 1 Asymptotic Analysis 1 Annales Scientifiques de l’Université Blaise Pascal Clermont-Ferrand II. Probabilités et Applications 1 Journal of the Ramanujan Mathematical Society 1 The Annals of Applied Probability 1 The Journal of Geometric Analysis 1 Bulletin of the American Mathematical Society. New Series 1 Annales de l’Institut Henri Poincaré. Physique Théorique 1 Russian Journal of Mathematical Physics 1 Annales Mathématiques Blaise Pascal 1 Filomat 1 Electronic Journal of Probability 1 Electronic Research Announcements of the American Mathematical Society 1 Discrete and Continuous Dynamical Systems 1 Doklady Mathematics 1 Positivity 1 International Journal of Theoretical and Applied Finance 1 Annals of Mathematics. Second Series 1 Journal of the European Mathematical Society (JEMS) 1 Communications in Contemporary Mathematics 1 Methodology and Computing in Applied Probability 1 Journal of Evolution Equations 1 Stochastics and Dynamics 1 Analysis and Applications (Singapore) 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Communications in Mathematical Analysis 1 Kyoto Journal of Mathematics 1 Analysis and Mathematical Physics 1 Afrika Matematika 1 Modern Stochastics. Theory and Applications
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### Cited in 30 Fields

 113 Operator theory (47-XX) 76 Partial differential equations (35-XX) 55 Quantum theory (81-XX) 40 Probability theory and stochastic processes (60-XX) 14 Statistical mechanics, structure of matter (82-XX) 13 Ordinary differential equations (34-XX) 13 Global analysis, analysis on manifolds (58-XX) 8 Potential theory (31-XX) 5 Numerical analysis (65-XX) 4 Difference and functional equations (39-XX) 4 Functional analysis (46-XX) 3 Combinatorics (05-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Real functions (26-XX) 3 Functions of a complex variable (30-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Differential geometry (53-XX) 3 Fluid mechanics (76-XX) 3 Geophysics (86-XX) 2 General and overarching topics; collections (00-XX) 2 Integral equations (45-XX) 2 Statistics (62-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Biology and other natural sciences (92-XX) 1 $$K$$-theory (19-XX) 1 Measure and integration (28-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Mechanics of deformable solids (74-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX)