×

zbMATH — the first resource for mathematics

Baumgärtel, Hellmut

Compute Distance To:
Author ID: baumgartel.hellmut Recent zbMATH articles by "Baumgärtel, Hellmut"
Published as: Baumgaertel, H.; Baumgaertel, Hellmut; Baumgärtel, H.; Baumgärtel, Hellmut
Documents Indexed: 95 Publications since 1964, including 13 Books

Publications by Year

Citations contained in zbMATH Open

51 Publications have been cited 308 times in 256 Documents Cited by Year
Analytic perturbation theory for matrices and operators. Licensed ed. Zbl 0591.47013
Baumgärtel, H.
76
1985
Mathematical scattering theory. Zbl 0536.47007
Baumgärtel, Hellmut; Wollenberg, Manfred
40
1983
Causal nets of operator algebras. Mathematical aspects of algebraic quantum field theory. Zbl 0749.46038
Baumgärtel, Hellmut; Wollenberg, Manfred
29
1992
Duality of compact groups and Hilbert \(C^*\)-systems for \(C^*\)-algebras with a nontrivial center. Zbl 1071.22002
Baumgärtel, Hellmut; Lledó, Fernando
18
2004
Endlichdimensionale analytische Störungstheorie. Zbl 0303.47012
Baumgärtel, Hellmut
15
1972
Operatoralgebraic methods in quantum field theory. A series of lectures. Zbl 0839.46063
Baumgärtel, Hellmut
13
1995
Twisted duality of the CAR-algebra. Zbl 1060.46040
Baumgärtel, Hellmut; Jurke, Matthias; Lledó, Fernando
11
2002
Decoupling by a projection. Zbl 0426.47007
Baumgärtel, Hellmut; Demuth, Michael
11
1979
Resonances of perturbed selfadjoint operators and their eigenfunctionals. Zbl 0361.47003
Baumgärtel, Hellmut
11
1976
Superselection structures for \(C^*\)-algebras with nontrivial center. Zbl 0893.46046
Baumgärtel, Hellmut; Lledó, Fernando
8
1997
On free nets over Minkowski space. Zbl 0883.46040
Baumgärtel, Hellmut; Jurke, Matthias; Lledó, Fernando
6
1995
A class of nontrivial weakly local massive Wightman fields with interpolating properties. Zbl 0578.47007
Baumgärtel, H.; Wollenberg, M.
6
1984
On the structure of relative identification operators for quantum fields and their connection with the Haag-Ruelle scattering theory. Zbl 0562.47010
Baumgärtel, Hellmut
6
1984
Partial resolvent and spectral concentration. Zbl 0318.47006
Baumgärtel, Hellmut
6
1975
Gamow vectors for resonances: a Lax-Phillips point of view. Zbl 1134.81047
Baumgärtel, H.
3
2007
Hilbert \(C^*\)-systems for actions of the circle group. Zbl 1008.46025
Baumgaertel, H.; Carey, A. L.
3
2001
On identification operators between free and interacting quantum fields. Zbl 0579.47007
Baumgärtel, H.; Neidhardt, H.; Rehberg, J.
3
1984
Superselection in the presence of constraints. Zbl 1110.81131
Baumgaertel, Hellmut; Grundling, Hendrik
2
2005
A modified approach to the Doplicher/Roberts theorem on the construction of the field algebra and the symmetry group in superselection theory. Zbl 0878.46047
Baumgärtel, H.
2
1997
Fourier transformation of Hilbert \(C^*\)-systems, with compact groups, by their regular representation. Zbl 0827.46052
Baumgärtel, H.
2
1995
Interpolating asymptotic constants for the Poincaré group, in particular on Fock space. Zbl 0577.47010
Baumgärtel, H.; Wollenberg, M.
2
1984
Mathematical scattering theory. Licensed ed. Zbl 0536.47008
Baumgärtel, Hellmut; Wollenberg, Manfred
2
1983
Resonanzen und Gelfandsche Raumtripel. Zbl 0326.47017
Baumgärtel, Hellmut
2
1976
Eine Bemerkung zur Theorie der Wellenoperatoren. Zbl 0191.42102
Baumgärtel, Hellmut
2
1969
Analytische Störung isolierter Eigenwerte endlicher algebraischer Vielfachheit von nichtselbstadjungierten Operatoren. Zbl 0162.45902
Baumgärtel, Hellmut
2
1968
Zur Störungstheorie beschränkter linearer Operatoren eines Banachschen Raumes. Zbl 0141.32303
Baumgärtel, Hellmut
2
1964
Resonances of quantum mechanical scattering systems and Lax-Phillips scattering theory. Zbl 1314.81152
Baumgärtel, Hellmut
1
2010
Spectral and scattering theory of Friedrichs models on the positive half line with Hilbert-Schmidt perturbations. Zbl 1250.81119
Baumgärtel, Hellmut
1
2009
On spectral properties of the resonances for selected potential scattering systems. Zbl 1202.81198
Baumgärtel, Hellmut; Kaldass, Hani; Komy, Soliman
1
2009
Time asymmetry in quantum mechanics: a pure mathematical point of view. Zbl 1144.81448
Baumgärtel, Hellmut
1
2008
On Lax-Phillips semigroups. Zbl 1134.47301
Baumgärtel, Hellmut
1
2007
Lax–Phillips evolutions in quantum mechanics and two-space scattering. Zbl 1067.47088
Baumgärtel, H.
1
2004
Resonances and virtual poles in scattering theory. Zbl 1053.81086
Baumgärtel, H.
1
2003
Introduction to Hardy spaces. Zbl 1076.46018
Baumgärtel, H.
1
2003
An application of the the DR-duality theory for compact groups to endomorphism categories of \(C^*\)-algebras with nontrivial center. Zbl 1032.47050
Baumgärtel, Hellmut; Lledó, Fernando
1
2001
On a theorem of Ashtekar and Lewandowski. Zbl 1161.58302
Baumgärtel, H.
1
1999
On Haag dual nets over compact spaces. Zbl 0836.46061
Baumgärtel, H.
1
1995
On the reconstruction problem in superselection theory. Zbl 0808.46092
Baumgärtel, Hellmut
1
1993
On the existence of measures connected with causality for quantum fields on lattices. Zbl 0686.28002
Baumgärtel, H.
1
1989
An inverse scattering approach to constructive quantum field theory. Zbl 0601.47010
Baumgärtel, Hellmut; Wollenberg, Manfred
1
1984
An inverse scattering approach to constructive quantum field theory. Zbl 0586.47005
Baumgärtel, Hellmut; Wollenberg, Manfred
1
1984
Proceedings of the second international conference on operator algebras, ideals, and their applications in theoretical physics, Leipzig, September 25 - October 2, 1983. Zbl 0535.00014
Baumgärtel, Hellmut (ed.); Laßner, Gerd (ed.); Pietsch, Albrecht (ed.); Uhlmann, Armin (ed.)
1
1984
Abel wave operators. III: Stationary theory. (Preprint). Zbl 0445.47016
Baumgärtel, Hellmut; Obermann, Peter; Wollenberg, Manfred
1
1979
A decoupling approach to resonances for N-particle quantum scattering systems. Zbl 0451.47010
Baumgärtel, Hellmut
1
1978
Proceedings of the international conference on operator algebras, ideals, and their applications in theoretical physics, Leipzig, September 12-20, 1977. Zbl 0393.00006
Baumgärtel, Hellmut (ed.); Laßner, G. (ed.); Pietsch, A. (ed.); Uhlmann, A. (ed.)
1
1978
Wellenoperatoren, Abelscher Limes und Vertauschungsrelation. Zbl 0335.47005
Baumgärtel, Hellmut
1
1974
Nichtanalytische Störungen kompakter Operatoren. Zbl 0274.47010
Baumgärtel, Hellmut
1
1974
Kompakte Störungen nichtisolierter Eigenwerte endlicher Vielfachheit. Zbl 0274.47009
Baumgärtel, Hellmut
1
1974
Spectral concentration and factorization. Zbl 0304.47017
Baumgärtel, Hellmut
1
1973
Zu einem Problem von M. G. Krein. Zbl 0281.47007
Baumgärtel, Hellmut
1
1973
Jordansche Normalform holomorpher Matrizen. Zbl 0182.05202
Baumgärtel, Hellmut
1
1969
Resonances of quantum mechanical scattering systems and Lax-Phillips scattering theory. Zbl 1314.81152
Baumgärtel, Hellmut
1
2010
Spectral and scattering theory of Friedrichs models on the positive half line with Hilbert-Schmidt perturbations. Zbl 1250.81119
Baumgärtel, Hellmut
1
2009
On spectral properties of the resonances for selected potential scattering systems. Zbl 1202.81198
Baumgärtel, Hellmut; Kaldass, Hani; Komy, Soliman
1
2009
Time asymmetry in quantum mechanics: a pure mathematical point of view. Zbl 1144.81448
Baumgärtel, Hellmut
1
2008
Gamow vectors for resonances: a Lax-Phillips point of view. Zbl 1134.81047
Baumgärtel, H.
3
2007
On Lax-Phillips semigroups. Zbl 1134.47301
Baumgärtel, Hellmut
1
2007
Superselection in the presence of constraints. Zbl 1110.81131
Baumgaertel, Hellmut; Grundling, Hendrik
2
2005
Duality of compact groups and Hilbert \(C^*\)-systems for \(C^*\)-algebras with a nontrivial center. Zbl 1071.22002
Baumgärtel, Hellmut; Lledó, Fernando
18
2004
Lax–Phillips evolutions in quantum mechanics and two-space scattering. Zbl 1067.47088
Baumgärtel, H.
1
2004
Resonances and virtual poles in scattering theory. Zbl 1053.81086
Baumgärtel, H.
1
2003
Introduction to Hardy spaces. Zbl 1076.46018
Baumgärtel, H.
1
2003
Twisted duality of the CAR-algebra. Zbl 1060.46040
Baumgärtel, Hellmut; Jurke, Matthias; Lledó, Fernando
11
2002
Hilbert \(C^*\)-systems for actions of the circle group. Zbl 1008.46025
Baumgaertel, H.; Carey, A. L.
3
2001
An application of the the DR-duality theory for compact groups to endomorphism categories of \(C^*\)-algebras with nontrivial center. Zbl 1032.47050
Baumgärtel, Hellmut; Lledó, Fernando
1
2001
On a theorem of Ashtekar and Lewandowski. Zbl 1161.58302
Baumgärtel, H.
1
1999
Superselection structures for \(C^*\)-algebras with nontrivial center. Zbl 0893.46046
Baumgärtel, Hellmut; Lledó, Fernando
8
1997
A modified approach to the Doplicher/Roberts theorem on the construction of the field algebra and the symmetry group in superselection theory. Zbl 0878.46047
Baumgärtel, H.
2
1997
Operatoralgebraic methods in quantum field theory. A series of lectures. Zbl 0839.46063
Baumgärtel, Hellmut
13
1995
On free nets over Minkowski space. Zbl 0883.46040
Baumgärtel, Hellmut; Jurke, Matthias; Lledó, Fernando
6
1995
Fourier transformation of Hilbert \(C^*\)-systems, with compact groups, by their regular representation. Zbl 0827.46052
Baumgärtel, H.
2
1995
On Haag dual nets over compact spaces. Zbl 0836.46061
Baumgärtel, H.
1
1995
On the reconstruction problem in superselection theory. Zbl 0808.46092
Baumgärtel, Hellmut
1
1993
Causal nets of operator algebras. Mathematical aspects of algebraic quantum field theory. Zbl 0749.46038
Baumgärtel, Hellmut; Wollenberg, Manfred
29
1992
On the existence of measures connected with causality for quantum fields on lattices. Zbl 0686.28002
Baumgärtel, H.
1
1989
Analytic perturbation theory for matrices and operators. Licensed ed. Zbl 0591.47013
Baumgärtel, H.
76
1985
A class of nontrivial weakly local massive Wightman fields with interpolating properties. Zbl 0578.47007
Baumgärtel, H.; Wollenberg, M.
6
1984
On the structure of relative identification operators for quantum fields and their connection with the Haag-Ruelle scattering theory. Zbl 0562.47010
Baumgärtel, Hellmut
6
1984
On identification operators between free and interacting quantum fields. Zbl 0579.47007
Baumgärtel, H.; Neidhardt, H.; Rehberg, J.
3
1984
Interpolating asymptotic constants for the Poincaré group, in particular on Fock space. Zbl 0577.47010
Baumgärtel, H.; Wollenberg, M.
2
1984
An inverse scattering approach to constructive quantum field theory. Zbl 0601.47010
Baumgärtel, Hellmut; Wollenberg, Manfred
1
1984
An inverse scattering approach to constructive quantum field theory. Zbl 0586.47005
Baumgärtel, Hellmut; Wollenberg, Manfred
1
1984
Proceedings of the second international conference on operator algebras, ideals, and their applications in theoretical physics, Leipzig, September 25 - October 2, 1983. Zbl 0535.00014
Baumgärtel, Hellmut (ed.); Laßner, Gerd (ed.); Pietsch, Albrecht (ed.); Uhlmann, Armin (ed.)
1
1984
Mathematical scattering theory. Zbl 0536.47007
Baumgärtel, Hellmut; Wollenberg, Manfred
40
1983
Mathematical scattering theory. Licensed ed. Zbl 0536.47008
Baumgärtel, Hellmut; Wollenberg, Manfred
2
1983
Decoupling by a projection. Zbl 0426.47007
Baumgärtel, Hellmut; Demuth, Michael
11
1979
Abel wave operators. III: Stationary theory. (Preprint). Zbl 0445.47016
Baumgärtel, Hellmut; Obermann, Peter; Wollenberg, Manfred
1
1979
A decoupling approach to resonances for N-particle quantum scattering systems. Zbl 0451.47010
Baumgärtel, Hellmut
1
1978
Proceedings of the international conference on operator algebras, ideals, and their applications in theoretical physics, Leipzig, September 12-20, 1977. Zbl 0393.00006
Baumgärtel, Hellmut (ed.); Laßner, G. (ed.); Pietsch, A. (ed.); Uhlmann, A. (ed.)
1
1978
Resonances of perturbed selfadjoint operators and their eigenfunctionals. Zbl 0361.47003
Baumgärtel, Hellmut
11
1976
Resonanzen und Gelfandsche Raumtripel. Zbl 0326.47017
Baumgärtel, Hellmut
2
1976
Partial resolvent and spectral concentration. Zbl 0318.47006
Baumgärtel, Hellmut
6
1975
Wellenoperatoren, Abelscher Limes und Vertauschungsrelation. Zbl 0335.47005
Baumgärtel, Hellmut
1
1974
Nichtanalytische Störungen kompakter Operatoren. Zbl 0274.47010
Baumgärtel, Hellmut
1
1974
Kompakte Störungen nichtisolierter Eigenwerte endlicher Vielfachheit. Zbl 0274.47009
Baumgärtel, Hellmut
1
1974
Spectral concentration and factorization. Zbl 0304.47017
Baumgärtel, Hellmut
1
1973
Zu einem Problem von M. G. Krein. Zbl 0281.47007
Baumgärtel, Hellmut
1
1973
Endlichdimensionale analytische Störungstheorie. Zbl 0303.47012
Baumgärtel, Hellmut
15
1972
Eine Bemerkung zur Theorie der Wellenoperatoren. Zbl 0191.42102
Baumgärtel, Hellmut
2
1969
Jordansche Normalform holomorpher Matrizen. Zbl 0182.05202
Baumgärtel, Hellmut
1
1969
Analytische Störung isolierter Eigenwerte endlicher algebraischer Vielfachheit von nichtselbstadjungierten Operatoren. Zbl 0162.45902
Baumgärtel, Hellmut
2
1968
Zur Störungstheorie beschränkter linearer Operatoren eines Banachschen Raumes. Zbl 0141.32303
Baumgärtel, Hellmut
2
1964
all top 5

Cited by 315 Authors

18 Baumgärtel, Hellmut
12 Neidhardt, Hagen
10 Vasselli, Ezio
8 Demuth, Michael
8 Gesztesy, Fritz
8 Wollenberg, Manfred
7 Lechner, Gandalf
7 Lledó, Fernando
6 Malamud, Mark M.
5 Behrndt, Jussi
5 Tanimoto, Yoh
5 Verch, Rainer
4 Fewster, Christopher John
4 Gadella, Manuel
4 Johnson, Mathew A.
4 Richard, Serge
4 Ruzzi, Giuseppe
4 Simon, Barry
4 Tiedra de Aldecoa, Rafael
4 Wimmer, Harald K.
3 Albeverio, Sergio A.
3 Brasche, Johannes Friedemann
3 Figotin, Alexander
3 Franchi, Massimo
3 Gracia, Juan-Miguel
3 Kitajima, Yuichiro
3 Koshmanenko, Volodymyr Dmytrovych
3 Lancaster, Peter
3 Moro, Julio
3 Overton, Michael L.
3 Rainer, Armin
3 Strauss, Yosef
3 Summers, Stephen Jeffrey
3 Welters, Aaron T.
3 Werner, Reinhard F.
2 Alam, Rafikul
2 Ashbaugh, Mark S.
2 Avrachenkov, Konstantin Evgen’evich
2 Bohm, Arno R.
2 Boitsev, A. A.
2 Bora, Shreemayee
2 Bronski, Jared C.
2 Brunetti, Romeo
2 Buchholz, Detlev
2 Burke, James V.
2 Chirvăsitu, Alexandru
2 Gabriel, Olivier
2 Gingold, Harry
2 Gohberg, Israel
2 Grosse, Harald
2 Høegh-Krohn, Raphael J.
2 Holden, Helge
2 Horwitz, Lawrence Paul
2 Jurke, Matthias
2 Kawamura, Katsunori
2 Longo, Roberto
2 Najman, Branko
2 Neeb, Karl-Hermann
2 Paruolo, Paolo
2 Popov, Igor’ Yur’evich
2 Qiu, Li
2 Rodman, Leiba X.
2 Sánchez, Eva
2 Sanders, Ko
2 Sosa, Fredy
2 Unterkofler, Karl
1 Abbati, Maria Cristina
1 Akian, Marianne
1 Alazzawi, Sabina
1 Alonso, Juan Antonio
1 Amrein, Werner O.
1 Arai, Asao
1 Auger, Pierre M.
1 Aurzada, Frank
1 Avron, Joseph E.
1 Bachmann, Sven
1 Bahri, Yakine
1 Ball, Joseph Anthony
1 Bapat, Ravindra Bhalchandra
1 Baró, M. D.
1 Benner, Peter
1 Bernhardsson, Bo M.
1 Bichon, Julien
1 Bonora, Losiano
1 Borichev, Aleksandr Aleksandrovich
1 Bravo de la Parra, Rafael
1 Brits, Susanah J. M.
1 Brunetti, Rossella
1 Bruning, Erwin Albert Karl
1 Bulla, W.
1 Carey, Alan L.
1 Carroll, Philip T.
1 Chang, Xuanhao
1 Chien, Mao-Ting
1 Chu, Delin
1 Ciolli, Fabio
1 Cojuhari, Petru A.
1 Coxson, Pamela G.
1 Crismale, Vitonofrio
1 Dappiaggi, Claudio
...and 215 more Authors
all top 5

Cited in 68 Serials

28 Linear Algebra and its Applications
26 Communications in Mathematical Physics
26 Journal of Mathematical Physics
15 Letters in Mathematical Physics
10 Reports on Mathematical Physics
10 Journal of Functional Analysis
9 Journal of Mathematical Analysis and Applications
9 Reviews in Mathematical Physics
7 Annales Henri Poincaré
6 International Journal of Theoretical Physics
6 Integral Equations and Operator Theory
6 International Journal of Mathematics
6 Annales de l’Institut Henri Poincaré. Physique Théorique
5 Journal of Differential Equations
5 Mathematische Nachrichten
4 Transactions of the American Mathematical Society
4 SIAM Journal on Matrix Analysis and Applications
3 Journal of Computational and Applied Mathematics
3 Foundations of Physics
2 Archive for Rational Mechanics and Analysis
2 Journal of Computational Physics
2 Physics Letters. A
2 Ukrainian Mathematical Journal
2 Journal of Geometry and Physics
2 Advances in Mathematics
2 Journal of Algebra
2 Proceedings of the American Mathematical Society
2 Advances in Applied Mathematics
2 Analysis and Mathematical Physics
1 Communications in Algebra
1 Journal of Statistical Physics
1 Physica A
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Automatica
1 Functional Analysis and its Applications
1 Journal of Pure and Applied Algebra
1 Mathematische Zeitschrift
1 Publications of the Research Institute for Mathematical Sciences, Kyoto University
1 Studies in Applied Mathematics
1 Ergodic Theory and Dynamical Systems
1 Systems & Control Letters
1 Zeitschrift für Analysis und ihre Anwendungen
1 Statistics & Probability Letters
1 Physica D
1 Revista Matemática Iberoamericana
1 Mathematical and Computer Modelling
1 MCSS. Mathematics of Control, Signals, and Systems
1 Annales Scientifiques de l’Université Blaise Pascal Clermont-Ferrand II. Probabilités et Applications
1 Aequationes Mathematicae
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 SIAM Review
1 Mathematical Physics, Analysis and Geometry
1 Infinite Dimensional Analysis, Quantum Probability and Related Topics
1 Journal of High Energy Physics
1 Methodology and Computing in Applied Probability
1 Lobachevskii Journal of Mathematics
1 Journal of the Australian Mathematical Society
1 International Journal of Geometric Methods in Modern Physics
1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
1 Complex Variables and Elliptic Equations
1 Journal of Biological Dynamics
1 Journal of Physics A: Mathematical and Theoretical
1 Symmetry
1 Bulletin of Mathematical Sciences
1 Nonlinear Analysis. Theory, Methods & Applications
1 Journal of Operators
all top 5

Cited in 41 Fields

117 Quantum theory (81-XX)
99 Operator theory (47-XX)
79 Functional analysis (46-XX)
44 Linear and multilinear algebra; matrix theory (15-XX)
37 Partial differential equations (35-XX)
23 Ordinary differential equations (34-XX)
17 Numerical analysis (65-XX)
13 Topological groups, Lie groups (22-XX)
10 Probability theory and stochastic processes (60-XX)
8 Statistical mechanics, structure of matter (82-XX)
7 Differential geometry (53-XX)
7 Global analysis, analysis on manifolds (58-XX)
7 Systems theory; control (93-XX)
6 Functions of a complex variable (30-XX)
5 Associative rings and algebras (16-XX)
5 Dynamical systems and ergodic theory (37-XX)
5 Optics, electromagnetic theory (78-XX)
5 Relativity and gravitational theory (83-XX)
4 Nonassociative rings and algebras (17-XX)
4 Real functions (26-XX)
4 Several complex variables and analytic spaces (32-XX)
3 Group theory and generalizations (20-XX)
3 Mechanics of particles and systems (70-XX)
2 Category theory; homological algebra (18-XX)
2 \(K\)-theory (19-XX)
2 Potential theory (31-XX)
2 Integral transforms, operational calculus (44-XX)
2 Fluid mechanics (76-XX)
2 Biology and other natural sciences (92-XX)
2 Information and communication theory, circuits (94-XX)
1 History and biography (01-XX)
1 Combinatorics (05-XX)
1 Field theory and polynomials (12-XX)
1 Algebraic geometry (14-XX)
1 Special functions (33-XX)
1 Difference and functional equations (39-XX)
1 Approximations and expansions (41-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Calculus of variations and optimal control; optimization (49-XX)
1 General topology (54-XX)
1 Statistics (62-XX)

Citations by Year