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Author ID: kriegl.andreas Recent zbMATH articles by "Kriegl, Andreas"
Published as: Kriegl, Andreas; Kriegl, A.
Homepage: https://www.mat.univie.ac.at/~kriegl/
External Links: MGP
Documents Indexed: 46 Publications since 1980, including 3 Books
Reviewing Activity: 79 Reviews
Co-Authors: 16 Co-Authors with 38 Joint Publications
382 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

41 Publications have been cited 802 times in 535 Documents Cited by Year
The convenient setting of global analysis. Zbl 0889.58001
Kriegl, Andreas; Michor, Peter W.
360
1997
Linear spaces and differentiation theory. Zbl 0657.46034
Frölicher, Alfred; Kriegl, Andreas
77
1988
Choosing roots of polynomials smoothly. Zbl 0912.26006
Alekseevsky, Dmitri; Kriegl, Andreas; Michor, Peter W.; Losik, Mark
34
1998
The convenient setting for real analytic mappings. Zbl 0738.46024
Kriegl, A.; Michor, P. W.
32
1990
Regular infinite dimensional Lie groups. Zbl 0893.22012
Kriegl, Andreas; Michor, Peter W.
27
1997
The convenient setting for non-quasianalytic Denjoy-Carleman differentiable mappings. Zbl 1178.46039
Kriegl, Andreas; Michor, Peter W.; Rainer, Armin
25
2009
The convenient setting for quasianalytic Denjoy-Carleman differentiable mappings. Zbl 1250.46018
Kriegl, Andreas; Michor, Peter W.; Rainer, Armin
21
2011
Die richtigen Räume für Analysis im Unendlich-Dimensionalen. Zbl 0489.46035
Kriegl, Andreas
19
1982
The Riemann geometry of orbit spaces – the metric, geodesics and integrable systems. Zbl 1026.57028
Alekseevsky, Dmitri; Kriegl, Andreas; Losik, Mark; Michor, Peter W.
18
2003
Differentiable perturbation of unbounded operators. Zbl 1054.47014
Kriegl, Andreas; Michor, Peter W.
15
2003
A convenient setting for holomorphy. Zbl 0581.46041
Kriegl, A.; Nel, L. D.
14
1985
An exotic zoo of diffeomorphism groups on \(\mathbb {R}^n\). Zbl 1316.58008
Kriegl, Andreas; Michor, W Peter.; Rainer, Armin
12
2015
Denjoy-Carleman differentiable perturbation of polynomials and unbounded operators. Zbl 1244.26028
Kriegl, Andreas; Michor, Peter W.; Rainer, Armin
12
2011
The convenient setting for Denjoy-Carleman differentiable mappings of Beurling and Roumieu type. Zbl 1331.26050
Kriegl, Andreas; Michor, Peter W.; Rainer, Armin
12
2015
A cartesian closed category of smooth mappings. Zbl 0511.46043
Kriegl, Andreas
11
1983
Choosing roots of polynomials smoothly. II. Zbl 1071.26009
Kriegl, Andreas; Losik, Mark; Michor, Peter W.
10
2004
Smooth \(\star\)-algebras. Zbl 1026.46062
Dubois-Violette, Michel; Kriegl, Andreas; Maeda, Yoshiaki; Michor, Peter W.
8
2001
Aspects of the theory of infinite dimensional manifolds. Zbl 0782.58011
Kriegl, Andreas; Michor, Peter W.
8
1991
Reflection groups on Riemannian manifolds. Zbl 1232.51010
Alekseevsky, Dmitri V.; Kriegl, Andreas; Losik, Mark; Michor, Peter W.
8
2007
Lifting smooth curves over invariants for representations of compact Lie groups. III. Zbl 1112.22003
Kriegl, Andreas; Losik, Mark; Michor, Peter W.; Rainer, Armin
7
2006
Product preserving functors of infinite dimensional manifolds. Zbl 0881.58010
Kriegl, A.; Michor, P. W.
7
1996
Characters on algebras of smooth functions. Zbl 0691.58020
Kriegl, A.; Michor, P.; Schachermayer, W.
7
1989
Lifting smooth curves over invariants for representations of compact Lie groups. Zbl 0960.22010
Alekseevsky, D. V.; Kriegl, A.; Losik, M.; Michor, P. W.
6
2000
Many parameter Hölder perturbation of unbounded operators. Zbl 1243.47031
Kriegl, Andreas; Michor, Peter W.; Rainer, Armin
6
2012
Convergence vector spaces for analysis. Zbl 0658.46002
Frölicher, A.; Kriegl, A.
6
1985
Lifting smooth curves over invariants for representations of compact Lie groups. II. Zbl 1062.22029
Kriegl, Andreas; Losik, Mark; Michor, Peter W.; Rainer, Armin
5
2005
Eine Theorie glatter Mannigfaltigkeiten und Vektorbuendel. (Dissertation). Zbl 0476.58003
Kriegl, Andreas
5
1980
Remarks of germs in infinite dimensions. Zbl 1049.46502
Kriegl, A.
4
1997
General differentiation theory. Zbl 0602.58011
Frölicher, Alfred; Gisin, Bernard; Kriegl, Andreas
4
1983
The exponential law for spaces of test functions and diffeomorphism groups. Zbl 1346.46019
Kriegl, Andreas; Michor, Peter W.; Rainer, Armin
4
2016
More smoothly real compact spaces. Zbl 0813.46026
Kriegl, Andreas; Michor, Peter W.
3
1993
Lifting mappings over invariants of finite groups. Zbl 1164.14009
Kriegl, A.; Losik, M.; Michor, P. W.; Rainer, A.
3
2008
A characterization of reduced incidence algebras. Zbl 0455.05012
Kriegl, Andreas
2
1981
Tensor fields and connections on holomorphic orbit spaces of finite groups. Zbl 1039.32029
Kriegl, Andreas; Losik, Mark; Michor, Peter W.
2
2003
\(C^{\infty}\)-algebras from the functional analytic view point. Zbl 0621.46046
Kainz, G.; Kriegl, A.; Michor, P.
2
1987
Countably evaluating homomorphisms on real function algebras. Zbl 1050.46025
Adam, Eva; Biström, Peter; Kriegl, Andreas
1
1999
Convenient vector spaces of smooth functions. Zbl 0752.46027
Kriegl, A.; Nel, L. D.
1
1990
Topology and differentiation theory. Zbl 0809.58001
Frölicher, Alfred; Kriegl, Andreas
1
1992
Convergence vector spaces for analysis. Zbl 0647.46003
Frölicher, Alfred; Kriegl, Andreas
1
1985
A Cartesian closed extension of the category of smooth Banach manifolds. Zbl 0553.58001
Kriegl, Andreas
1
1984
General differentiation theory. Zbl 0598.58008
Frölicher, Alfred; Gisin, Bernard; Kriegl, Andreas
1
1983
The exponential law for spaces of test functions and diffeomorphism groups. Zbl 1346.46019
Kriegl, Andreas; Michor, Peter W.; Rainer, Armin
4
2016
An exotic zoo of diffeomorphism groups on \(\mathbb {R}^n\). Zbl 1316.58008
Kriegl, Andreas; Michor, W Peter.; Rainer, Armin
12
2015
The convenient setting for Denjoy-Carleman differentiable mappings of Beurling and Roumieu type. Zbl 1331.26050
Kriegl, Andreas; Michor, Peter W.; Rainer, Armin
12
2015
Many parameter Hölder perturbation of unbounded operators. Zbl 1243.47031
Kriegl, Andreas; Michor, Peter W.; Rainer, Armin
6
2012
The convenient setting for quasianalytic Denjoy-Carleman differentiable mappings. Zbl 1250.46018
Kriegl, Andreas; Michor, Peter W.; Rainer, Armin
21
2011
Denjoy-Carleman differentiable perturbation of polynomials and unbounded operators. Zbl 1244.26028
Kriegl, Andreas; Michor, Peter W.; Rainer, Armin
12
2011
The convenient setting for non-quasianalytic Denjoy-Carleman differentiable mappings. Zbl 1178.46039
Kriegl, Andreas; Michor, Peter W.; Rainer, Armin
25
2009
Lifting mappings over invariants of finite groups. Zbl 1164.14009
Kriegl, A.; Losik, M.; Michor, P. W.; Rainer, A.
3
2008
Reflection groups on Riemannian manifolds. Zbl 1232.51010
Alekseevsky, Dmitri V.; Kriegl, Andreas; Losik, Mark; Michor, Peter W.
8
2007
Lifting smooth curves over invariants for representations of compact Lie groups. III. Zbl 1112.22003
Kriegl, Andreas; Losik, Mark; Michor, Peter W.; Rainer, Armin
7
2006
Lifting smooth curves over invariants for representations of compact Lie groups. II. Zbl 1062.22029
Kriegl, Andreas; Losik, Mark; Michor, Peter W.; Rainer, Armin
5
2005
Choosing roots of polynomials smoothly. II. Zbl 1071.26009
Kriegl, Andreas; Losik, Mark; Michor, Peter W.
10
2004
The Riemann geometry of orbit spaces – the metric, geodesics and integrable systems. Zbl 1026.57028
Alekseevsky, Dmitri; Kriegl, Andreas; Losik, Mark; Michor, Peter W.
18
2003
Differentiable perturbation of unbounded operators. Zbl 1054.47014
Kriegl, Andreas; Michor, Peter W.
15
2003
Tensor fields and connections on holomorphic orbit spaces of finite groups. Zbl 1039.32029
Kriegl, Andreas; Losik, Mark; Michor, Peter W.
2
2003
Smooth \(\star\)-algebras. Zbl 1026.46062
Dubois-Violette, Michel; Kriegl, Andreas; Maeda, Yoshiaki; Michor, Peter W.
8
2001
Lifting smooth curves over invariants for representations of compact Lie groups. Zbl 0960.22010
Alekseevsky, D. V.; Kriegl, A.; Losik, M.; Michor, P. W.
6
2000
Countably evaluating homomorphisms on real function algebras. Zbl 1050.46025
Adam, Eva; Biström, Peter; Kriegl, Andreas
1
1999
Choosing roots of polynomials smoothly. Zbl 0912.26006
Alekseevsky, Dmitri; Kriegl, Andreas; Michor, Peter W.; Losik, Mark
34
1998
The convenient setting of global analysis. Zbl 0889.58001
Kriegl, Andreas; Michor, Peter W.
360
1997
Regular infinite dimensional Lie groups. Zbl 0893.22012
Kriegl, Andreas; Michor, Peter W.
27
1997
Remarks of germs in infinite dimensions. Zbl 1049.46502
Kriegl, A.
4
1997
Product preserving functors of infinite dimensional manifolds. Zbl 0881.58010
Kriegl, A.; Michor, P. W.
7
1996
More smoothly real compact spaces. Zbl 0813.46026
Kriegl, Andreas; Michor, Peter W.
3
1993
Topology and differentiation theory. Zbl 0809.58001
Frölicher, Alfred; Kriegl, Andreas
1
1992
Aspects of the theory of infinite dimensional manifolds. Zbl 0782.58011
Kriegl, Andreas; Michor, Peter W.
8
1991
The convenient setting for real analytic mappings. Zbl 0738.46024
Kriegl, A.; Michor, P. W.
32
1990
Convenient vector spaces of smooth functions. Zbl 0752.46027
Kriegl, A.; Nel, L. D.
1
1990
Characters on algebras of smooth functions. Zbl 0691.58020
Kriegl, A.; Michor, P.; Schachermayer, W.
7
1989
Linear spaces and differentiation theory. Zbl 0657.46034
Frölicher, Alfred; Kriegl, Andreas
77
1988
\(C^{\infty}\)-algebras from the functional analytic view point. Zbl 0621.46046
Kainz, G.; Kriegl, A.; Michor, P.
2
1987
A convenient setting for holomorphy. Zbl 0581.46041
Kriegl, A.; Nel, L. D.
14
1985
Convergence vector spaces for analysis. Zbl 0658.46002
Frölicher, A.; Kriegl, A.
6
1985
Convergence vector spaces for analysis. Zbl 0647.46003
Frölicher, Alfred; Kriegl, Andreas
1
1985
A Cartesian closed extension of the category of smooth Banach manifolds. Zbl 0553.58001
Kriegl, Andreas
1
1984
A cartesian closed category of smooth mappings. Zbl 0511.46043
Kriegl, Andreas
11
1983
General differentiation theory. Zbl 0602.58011
Frölicher, Alfred; Gisin, Bernard; Kriegl, Andreas
4
1983
General differentiation theory. Zbl 0598.58008
Frölicher, Alfred; Gisin, Bernard; Kriegl, Andreas
1
1983
Die richtigen Räume für Analysis im Unendlich-Dimensionalen. Zbl 0489.46035
Kriegl, Andreas
19
1982
A characterization of reduced incidence algebras. Zbl 0455.05012
Kriegl, Andreas
2
1981
Eine Theorie glatter Mannigfaltigkeiten und Vektorbuendel. (Dissertation). Zbl 0476.58003
Kriegl, Andreas
5
1980
all top 5

Cited by 540 Authors

41 Michor, Peter Wolfram
27 Rainer, Armin
23 Kriegl, Andreas
15 Bauer, Martin
14 Glöckner, Helge
14 Neeb, Karl-Hermann
14 Schmeding, Alexander
13 Nigsch, Eduard Albert
11 Bruveris, Martins
9 Rejzner, Katarzyna
9 Vizman, Cornelia
8 Beltiţă, Daniel
8 Gay-Balmaz, François
8 Magnot, Jean-Pierre
8 Nel, Louis Daniel
7 Wockel, Christoph
6 Canarutto, Daniel
6 Domański, Paweł
6 Fredenhagen, Klaus
6 Giordano, Paolo Robuffo
6 Losik, Mark V.
6 Pelletier, Fernand
6 Rybicki, Tomasz
6 Teichmann, Josef
5 Colebunders, Eva
5 Galanis, George N.
5 Harms, Philipp
5 Mumford, David Bryant
5 Schindl, Gerhard
4 Biström, Peter
4 Bonet Solves, José
4 Boulabiar, Karim Mohamed
4 Cruttwell, G. S. H.
4 Galé, José E.
4 Haller, Stefan
4 Kunzinger, Michael
4 Lindström, Mikael
4 Lucyshyn-Wright, Rory B. B.
4 Modin, Klas
4 Nenning, David Nicolas
4 Ratiu, Tudor Stefan
4 Spera, Mauro
3 Akbarov, Sergei S.
3 Alekseevskiĭ, Dmitriĭ Vladimirovich
3 Besse, Nicolas
3 Brunetti, Romeo
3 Cabau, Patrick
3 Cockett, J. Robin B.
3 Dahmen, Rafael
3 Filipović, Damir
3 Frölicher, Alfred
3 Gomes, Henrique de A.
3 Hanusch, Maximilian
3 Holm, Darryl Dallas
3 Kock, Anders Jungersen
3 Kolev, Boris
3 Kruse, Karsten
3 Molitor, Mathieu
3 Pacaud Lemay, Jean-Simon
3 Parusiński, Adam
3 Pötzsche, Christian
3 Razumov, Alexander V.
3 Salvai, Marcos
3 Spagnolo, Sergio
3 Taglialatela, Giovanni
3 Waldmann, Stefan
3 Wu, Enxin
3 Zenkov, Dmitry V.
3 Zimmermann, Ralf
2 Alzaareer, Hamza
2 Amiri, Habib
2 Arguillère, Sylvain
2 Ben Amor, Fethi
2 Bentley, Herschel Lamar
2 Bjon, Sten
2 Bloch, Anthony Michael
2 Bogfjellmo, Geir
2 Brouder, Christian
2 Čap, Andreas
2 Capoferri, Matteo
2 Chruściel, Piotr Tadeusz
2 Colombini, Ferruccio
2 Corro, Diego
2 Cukrowski, Michał Jan
2 Dabrowski, Yoann
2 Dave, Shantanu
2 de León Rodríguez, Manuel
2 Delay, Erwann
2 Diez, Tobias
2 Dodson, Christopher Terence John
2 Dupre, Maurice J.
2 Eslitzbichler, Markus
2 Fehér, László Gy.
2 Gil-Medrano, Olga
2 Glazebrook, James F.
2 Goliński, Tomasz
2 Grabowski, Janusz
2 Herrlich, Horst
2 Hillairet, Luc
2 Hochgerner, Simon
...and 440 more Authors
all top 5

Cited in 181 Serials

21 Communications in Mathematical Physics
21 Journal of Geometry and Physics
20 Annals of Global Analysis and Geometry
19 Monatshefte für Mathematik
17 Journal of Functional Analysis
17 Differential Geometry and its Applications
15 Advances in Mathematics
11 Journal of Mathematical Physics
9 Israel Journal of Mathematics
9 Proceedings of the American Mathematical Society
9 Transactions of the American Mathematical Society
9 Topology and its Applications
8 International Journal of Geometric Methods in Modern Physics
7 Journal of Mathematical Analysis and Applications
7 Letters in Mathematical Physics
7 Cahiers de Topologie et Géométrie Différentielle Catégoriques
7 Transformation Groups
7 Journal of Geometric Mechanics
6 Indagationes Mathematicae. New Series
5 Annales de l’Institut Fourier
5 Journal of Pure and Applied Algebra
5 Mathematische Zeitschrift
5 MSCS. Mathematical Structures in Computer Science
5 The Journal of Geometric Analysis
5 Expositiones Mathematicae
5 Journal of Nonlinear Science
5 Journal of Mathematical Sciences (New York)
4 Archive for Rational Mechanics and Analysis
4 Nuclear Physics. B
4 Reports on Mathematical Physics
4 Rocky Mountain Journal of Mathematics
4 Demonstratio Mathematica
4 Geometriae Dedicata
4 Mathematische Annalen
4 Mathematische Nachrichten
4 Numerische Mathematik
4 Applied Categorical Structures
4 Calculus of Variations and Partial Differential Equations
3 Studia Mathematica
3 Reviews in Mathematical Physics
3 Annali di Matematica Pura ed Applicata. Serie Quarta
3 Canadian Journal of Mathematics
3 Acta Applicandae Mathematicae
3 Revista Matemática Iberoamericana
3 Forum Mathematicum
3 Linear Algebra and its Applications
3 Theory and Applications of Categories
3 Revista Matemática Complutense
3 Journal of High Energy Physics
3 Annales Henri Poincaré
3 Cahiers de Topologie et Géométrie Différentielle Catégoriques
3 Journal of Homotopy and Related Structures
3 SIAM Journal on Imaging Sciences
2 Classical and Quantum Gravity
2 Physics Letters. A
2 Acta Mathematica
2 Czechoslovak Mathematical Journal
2 Dissertationes Mathematicae
2 Duke Mathematical Journal
2 Integral Equations and Operator Theory
2 Journal of Differential Equations
2 Memoirs of the American Mathematical Society
2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
2 Proceedings of the Edinburgh Mathematical Society. Series II
2 Quaestiones Mathematicae
2 Rendiconti del Seminario Matematico della Università di Padova
2 Results in Mathematics
2 Theoretical Computer Science
2 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
2 Annals of Physics
2 SIAM Journal on Optimization
2 Journal of Mathematical Imaging and Vision
2 Annales Mathématiques Blaise Pascal
2 Bulletin des Sciences Mathématiques
2 Discrete and Continuous Dynamical Systems
2 Positivity
2 Geometry & Topology
2 Foundations of Computational Mathematics
2 Journal of the Australian Mathematical Society
2 Journal of the Institute of Mathematics of Jussieu
2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
2 Journal of Topology and Analysis
2 Kyoto Journal of Mathematics
2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
2 Annals of Functional Analysis
2 Analysis and Mathematical Physics
2 Communications in Mathematics
2 Forum of Mathematics, Sigma
2 Mathematics
2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
2 Annales Henri Lebesgue
1 Bulletin of the Australian Mathematical Society
1 Computer Methods in Applied Mechanics and Engineering
1 Nonlinearity
1 Periodica Mathematica Hungarica
1 Arkiv för Matematik
1 The Annals of Probability
1 Archiv der Mathematik
1 Automatica
1 BIT
...and 81 more Serials
all top 5

Cited in 59 Fields

212 Global analysis, analysis on manifolds (58-XX)
153 Functional analysis (46-XX)
138 Differential geometry (53-XX)
88 Topological groups, Lie groups (22-XX)
58 Partial differential equations (35-XX)
58 Quantum theory (81-XX)
54 Dynamical systems and ergodic theory (37-XX)
51 Category theory; homological algebra (18-XX)
48 Real functions (26-XX)
44 Manifolds and cell complexes (57-XX)
31 Operator theory (47-XX)
25 General topology (54-XX)
22 Several complex variables and analytic spaces (32-XX)
21 Nonassociative rings and algebras (17-XX)
21 Mechanics of particles and systems (70-XX)
20 Algebraic topology (55-XX)
18 Numerical analysis (65-XX)
18 Relativity and gravitational theory (83-XX)
16 Functions of a complex variable (30-XX)
15 Mathematical logic and foundations (03-XX)
15 Calculus of variations and optimal control; optimization (49-XX)
13 Algebraic geometry (14-XX)
13 Ordinary differential equations (34-XX)
12 Computer science (68-XX)
11 Group theory and generalizations (20-XX)
10 Geometry (51-XX)
9 Statistics (62-XX)
9 Systems theory; control (93-XX)
8 Associative rings and algebras (16-XX)
8 Probability theory and stochastic processes (60-XX)
8 Fluid mechanics (76-XX)
7 Linear and multilinear algebra; matrix theory (15-XX)
6 Abstract harmonic analysis (43-XX)
6 Mechanics of deformable solids (74-XX)
6 Statistical mechanics, structure of matter (82-XX)
5 Field theory and polynomials (12-XX)
4 Commutative algebra (13-XX)
4 Information and communication theory, circuits (94-XX)
3 Convex and discrete geometry (52-XX)
3 Astronomy and astrophysics (85-XX)
3 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
2 General and overarching topics; collections (00-XX)
2 Combinatorics (05-XX)
2 Order, lattices, ordered algebraic structures (06-XX)
2 \(K\)-theory (19-XX)
2 Measure and integration (28-XX)
2 Difference and functional equations (39-XX)
2 Approximations and expansions (41-XX)
2 Integral transforms, operational calculus (44-XX)
2 Geophysics (86-XX)
1 History and biography (01-XX)
1 Number theory (11-XX)
1 Potential theory (31-XX)
1 Special functions (33-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Optics, electromagnetic theory (78-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Operations research, mathematical programming (90-XX)
1 Biology and other natural sciences (92-XX)

Citations by Year