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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
410 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

42 Publications have been cited 883 times in 598 Documents Cited by Year
The convenient setting of global analysis. Zbl 0889.58001
Kriegl, Andreas; Michor, Peter W.
410
1997
Linear spaces and differentiation theory. Zbl 0657.46034
Frölicher, Alfred; Kriegl, Andreas
86
1988
Choosing roots of polynomials smoothly. Zbl 0912.26006
Alekseevsky, Dmitri; Kriegl, Andreas; Michor, Peter W.; Losik, Mark
37
1998
The convenient setting for real analytic mappings. Zbl 0738.46024
Kriegl, A.; Michor, P. W.
33
1990
Regular infinite dimensional Lie groups. Zbl 0893.22012
Kriegl, Andreas; Michor, Peter W.
29
1997
The convenient setting for non-quasianalytic Denjoy-Carleman differentiable mappings. Zbl 1178.46039
Kriegl, Andreas; Michor, Peter W.; Rainer, Armin
28
2009
The convenient setting for quasianalytic Denjoy-Carleman differentiable mappings. Zbl 1250.46018
Kriegl, Andreas; Michor, Peter W.; Rainer, Armin
21
2011
The Riemann geometry of orbit spaces – the metric, geodesics and integrable systems. Zbl 1026.57028
Alekseevsky, Dmitri; Kriegl, Andreas; Losik, Mark; Michor, Peter W.
20
2003
Die richtigen Räume für Analysis im Unendlich-Dimensionalen. Zbl 0489.46035
Kriegl, Andreas
20
1982
Differentiable perturbation of unbounded operators. Zbl 1054.47014
Kriegl, Andreas; Michor, Peter W.
16
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
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
Denjoy-Carleman differentiable perturbation of polynomials and unbounded operators. Zbl 1244.26028
Kriegl, Andreas; Michor, Peter W.; Rainer, Armin
12
2011
Choosing roots of polynomials smoothly. II. Zbl 1071.26009
Kriegl, Andreas; Losik, Mark; Michor, Peter W.
11
2004
A cartesian closed category of smooth mappings. Zbl 0511.46043
Kriegl, Andreas
11
1983
Smooth \(\star\)-algebras. Zbl 1026.46062
Dubois-Violette, Michel; Kriegl, Andreas; Maeda, Yoshiaki; Michor, Peter W.
9
2001
Aspects of the theory of infinite dimensional manifolds. Zbl 0782.58011
Kriegl, Andreas; Michor, Peter W.
9
1991
Reflection groups on Riemannian manifolds. Zbl 1232.51010
Alekseevsky, Dmitri V.; Kriegl, Andreas; Losik, Mark; Michor, Peter W.
8
2007
Product preserving functors of infinite dimensional manifolds. Zbl 0881.58010
Kriegl, A.; Michor, P. W.
7
1996
Many parameter Hölder perturbation of unbounded operators. Zbl 1243.47031
Kriegl, Andreas; Michor, Peter W.; Rainer, Armin
7
2012
Characters on algebras of smooth functions. Zbl 0691.58020
Kriegl, A.; Michor, P.; Schachermayer, W.
7
1989
Convergence vector spaces for analysis. Zbl 0658.46002
Frölicher, A.; Kriegl, A.
7
1985
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
Lifting smooth curves over invariants for representations of compact Lie groups. III. Zbl 1112.22003
Kriegl, Andreas; Losik, Mark; Michor, Peter W.; Rainer, Armin
6
2006
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.
5
1997
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
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
General differentiation theory. Zbl 0598.58008
Frölicher, Alfred; Gisin, Bernard; Kriegl, Andreas
3
1983
Lifting mappings over invariants of finite groups. Zbl 1164.14009
Kriegl, A.; Losik, M.; Michor, P. W.; Rainer, A.
3
2008
More smoothly real compact spaces. Zbl 0813.46026
Kriegl, Andreas; Michor, Peter W.
3
1993
Tensor fields and connections on holomorphic orbit spaces of finite groups. Zbl 1039.32029
Kriegl, Andreas; Losik, Mark; Michor, Peter W.
2
2003
A characterization of reduced incidence algebras. Zbl 0455.05012
Kriegl, Andreas
2
1981
Topology and differentiation theory. Zbl 0809.58001
Frölicher, Alfred; Kriegl, Andreas
2
1992
\(C^{\infty}\)-algebras from the functional analytic view point. Zbl 0621.46046
Kainz, G.; Kriegl, A.; Michor, P.
2
1987
Convenient vector spaces of smooth functions. Zbl 0752.46027
Kriegl, A.; Nel, L. D.
1
1990
Non-singular space-times with a negative cosmological constant. V: Boson stars. Zbl 1397.83019
Chruściel, Piotr T.; Delay, Erwann; Klinger, Paul; Kriegl, Andreas; Michor, Peter W.; Rainer, Armin
1
2018
Countably evaluating homomorphisms on real function algebras. Zbl 1050.46025
Adam, Eva; Biström, Peter; Kriegl, Andreas
1
1999
A Cartesian closed extension of the category of smooth Banach manifolds. Zbl 0553.58001
Kriegl, Andreas
1
1984
Convergence vector spaces for analysis. Zbl 0647.46003
Frölicher, Alfred; Kriegl, Andreas
1
1985
Non-singular space-times with a negative cosmological constant. V: Boson stars. Zbl 1397.83019
Chruściel, Piotr T.; Delay, Erwann; Klinger, Paul; Kriegl, Andreas; Michor, Peter W.; Rainer, Armin
1
2018
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
7
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
28
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
6
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.
11
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.
20
2003
Differentiable perturbation of unbounded operators. Zbl 1054.47014
Kriegl, Andreas; Michor, Peter W.
16
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.
9
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
37
1998
The convenient setting of global analysis. Zbl 0889.58001
Kriegl, Andreas; Michor, Peter W.
410
1997
Regular infinite dimensional Lie groups. Zbl 0893.22012
Kriegl, Andreas; Michor, Peter W.
29
1997
Remarks of germs in infinite dimensions. Zbl 1049.46502
Kriegl, A.
5
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
2
1992
Aspects of the theory of infinite dimensional manifolds. Zbl 0782.58011
Kriegl, Andreas; Michor, Peter W.
9
1991
The convenient setting for real analytic mappings. Zbl 0738.46024
Kriegl, A.; Michor, P. W.
33
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
86
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.
7
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
3
1983
Die richtigen Räume für Analysis im Unendlich-Dimensionalen. Zbl 0489.46035
Kriegl, Andreas
20
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 597 Authors

42 Michor, Peter Wolfram
29 Rainer, Armin
23 Kriegl, Andreas
19 Schmeding, Alexander
18 Glöckner, Helge
15 Bauer, Martin
15 Neeb, Karl-Hermann
13 Nigsch, Eduard Albert
12 Bruveris, Martins
11 Magnot, Jean-Pierre
11 Vizman, Cornelia
10 Gay-Balmaz, François
9 Pelletier, Fernand
9 Rejzner, Katarzyna
8 Beltiţă, Daniel
8 Nel, Louis Daniel
7 Schindl, Gerhard
7 Wockel, Christoph
6 Canarutto, Daniel
6 Domański, Paweł
6 Fredenhagen, Klaus
6 Giordano, Paolo Robuffo
6 Harms, Philipp
6 Losik, Mark V.
6 Rybicki, Tomasz
6 Teichmann, Josef
5 Cabau, Patrick
5 Colebunders, Eva
5 Galanis, George N.
5 Kunzinger, Michael
5 Mumford, David Bryant
5 Nenning, David Nicolas
4 Biström, Peter
4 Bonet Solves, José
4 Boulabiar, Karim Mohamed
4 Cruttwell, Geoffrey S. H.
4 Galé, José E.
4 Haller, Stefan
4 Holm, Darryl Dallas
4 Lindström, Mikael
4 Lucyshyn-Wright, Rory B. B.
4 Modin, Klas
4 Pennec, Xavier
4 Ratiu, Tudor Stefan
4 Spera, Mauro
4 Wu, Enxin
3 Akbarov, Sergei S.
3 Alekseevskiĭ, Dmitriĭ Vladimirovich
3 Amiri, Habib
3 Besse, Nicolas
3 Brunetti, Romeo
3 Cockett, J. Robin B.
3 Colombini, Ferruccio
3 Dahmen, Rafael
3 de León Rodríguez, Manuel
3 Filipović, Damir
3 Frölicher, Alfred
3 Gomes, Henrique de A.
3 Hanusch, Maximilian
3 Kališnik, Jure
3 Kock, Anders Jungersen
3 Kolev, Boris
3 Kruse, Karsten
3 Marsland, Stephen R.
3 Molitor, Mathieu
3 Pacaud Lemay, Jean-Simon
3 Parusiński, Adam
3 Pernazza, Ludovico
3 Pötzsche, Christian
3 Prinz, David
3 Razumov, Alexander V.
3 Reyes, Enrique G.
3 Salvai, Marcos
3 Spagnolo, Sergio
3 Taglialatela, Giovanni
3 Vickers, James A.
3 Waldmann, Stefan
3 Zenkov, Dmitry V.
3 Zimmermann, Ralf
2 Alzaareer, Hamza
2 Arguillère, Sylvain
2 Ben Amor, Fethi
2 Bentley, Herschel Lamar
2 Bjon, Sten
2 Blauth, Sebastian
2 Bloch, Anthony Michael
2 Bogfjellmo, Geir
2 Bony, Jean-Michel
2 Bououn, Sameh
2 Brouder, Christian
2 Čap, Andreas
2 Capoferri, Matteo
2 Christensen, J. Daniel
2 Chruściel, Piotr Tadeusz
2 Corro, Diego
2 Cukrowski, Michał Jan
2 Dabrowski, Yoann
2 Dave, Shantanu
2 Delay, Erwann
2 Diez, Tobias
...and 497 more Authors
all top 5

Cited in 196 Serials

24 Journal of Geometry and Physics
23 Communications in Mathematical Physics
20 Annals of Global Analysis and Geometry
19 Monatshefte für Mathematik
18 Journal of Functional Analysis
18 Differential Geometry and its Applications
16 Advances in Mathematics
12 Journal of Mathematical Physics
10 Israel Journal of Mathematics
10 Transactions of the American Mathematical Society
9 Proceedings of the American Mathematical Society
9 Topology and its Applications
8 Journal of Mathematical Analysis and Applications
8 International Journal of Geometric Methods in Modern Physics
7 Letters in Mathematical Physics
7 Cahiers de Topologie et Géométrie Différentielle Catégoriques
7 Indagationes Mathematicae. New Series
7 Transformation Groups
7 Journal of Geometric Mechanics
6 The Journal of Geometric Analysis
5 Classical and Quantum Gravity
5 Reports on Mathematical Physics
5 Annales de l’Institut Fourier
5 Demonstratio Mathematica
5 Journal of Pure and Applied Algebra
5 Mathematische Annalen
5 Mathematische Nachrichten
5 Mathematische Zeitschrift
5 MSCS. Mathematical Structures in Computer Science
5 Expositiones Mathematicae
5 Journal of Nonlinear Science
5 Calculus of Variations and Partial Differential Equations
5 Journal of Mathematical Sciences (New York)
4 Archive for Rational Mechanics and Analysis
4 Nuclear Physics. B
4 Rocky Mountain Journal of Mathematics
4 Reviews in Mathematical Physics
4 Geometriae Dedicata
4 Journal of Differential Equations
4 Numerische Mathematik
4 Applied Categorical Structures
4 Foundations of Computational Mathematics
3 Studia Mathematica
3 Annali di Matematica Pura ed Applicata. Serie Quarta
3 Canadian Journal of Mathematics
3 Memoirs of the American Mathematical Society
3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
3 Acta Applicandae Mathematicae
3 Revista Matemática Iberoamericana
3 Forum Mathematicum
3 Linear Algebra and its Applications
3 SIAM Journal on Optimization
3 Theory and Applications of Categories
3 Positivity
3 Revista Matemática Complutense
3 Journal of High Energy Physics
3 Annales Henri Poincaré
3 Cahiers de Topologie et Géométrie Différentielle Catégoriques
3 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
3 Journal of Homotopy and Related Structures
3 SIAM Journal on Imaging Sciences
3 Mathematics
3 Information Geometry
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 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 Journal of Mathematical Imaging and Vision
2 Annales Mathématiques Blaise Pascal
2 Journal of Lie Theory
2 Bulletin des Sciences Mathématiques
2 Discrete and Continuous Dynamical Systems
2 Mathematical Physics, Analysis and Geometry
2 Geometry & Topology
2 Journal of the European Mathematical Society (JEMS)
2 Journal of the Australian Mathematical Society
2 Journal of the Institute of Mathematics of Jussieu
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 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
...and 96 more Serials
all top 5

Cited in 59 Fields

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

Citations by Year