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Kriegl, Andreas

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Author ID: kriegl.andreas Recent zbMATH articles by "Kriegl, Andreas"
Published as: Kriegl, Andreas; Kriegl, A.
Documents Indexed: 46 Publications since 1980, including 3 Books
Reviewing Activity: 79 Reviews

Publications by Year

Citations contained in zbMATH Open

41 Publications have been cited 718 times in 477 Documents Cited by Year
The convenient setting of global analysis. Zbl 0889.58001
Kriegl, Andreas; Michor, Peter W.
323
1997
Linear spaces and differentiation theory. Zbl 0657.46034
Frölicher, Alfred; Kriegl, Andreas
72
1988
The convenient setting for real analytic mappings. Zbl 0738.46024
Kriegl, A.; Michor, P. W.
30
1990
Choosing roots of polynomials smoothly. Zbl 0912.26006
Alekseevsky, Dmitri; Kriegl, Andreas; Michor, Peter W.; Losik, Mark
27
1998
Regular infinite dimensional Lie groups. Zbl 0893.22012
Kriegl, Andreas; Michor, Peter W.
25
1997
The convenient setting for non-quasianalytic Denjoy-Carleman differentiable mappings. Zbl 1178.46039
Kriegl, Andreas; Michor, Peter W.; Rainer, Armin
20
2009
Die richtigen Räume für Analysis im Unendlich-Dimensionalen. Zbl 0489.46035
Kriegl, Andreas
19
1982
The convenient setting for quasianalytic Denjoy-Carleman differentiable mappings. Zbl 1250.46018
Kriegl, Andreas; Michor, Peter W.; Rainer, Armin
15
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.
15
2003
A convenient setting for holomorphy. Zbl 0581.46041
Kriegl, A.; Nel, L. D.
14
1985
Differentiable perturbation of unbounded operators. Zbl 1054.47014
Kriegl, Andreas; Michor, Peter W.
11
2003
A cartesian closed category of smooth mappings. Zbl 0511.46043
Kriegl, Andreas
11
1983
An exotic zoo of diffeomorphism groups on \(\mathbb {R}^n\). Zbl 1316.58008
Kriegl, Andreas; Michor, W Peter.; Rainer, Armin
11
2015
Choosing roots of polynomials smoothly. II. Zbl 1071.26009
Kriegl, Andreas; Losik, Mark; Michor, Peter W.
10
2004
The convenient setting for Denjoy-Carleman differentiable mappings of Beurling and Roumieu type. Zbl 1331.26050
Kriegl, Andreas; Michor, Peter W.; Rainer, Armin
10
2015
Denjoy-Carleman differentiable perturbation of polynomials and unbounded operators. Zbl 1244.26028
Kriegl, Andreas; Michor, Peter W.; Rainer, Armin
9
2011
Aspects of the theory of infinite dimensional manifolds. Zbl 0782.58011
Kriegl, Andreas; Michor, Peter W.
8
1991
Product preserving functors of infinite dimensional manifolds. Zbl 0881.58010
Kriegl, A.; Michor, P. W.
7
1996
Smooth \(\star\)-algebras. Zbl 1026.46062
Dubois-Violette, Michel; Kriegl, Andreas; Maeda, Yoshiaki; Michor, Peter W.
7
2001
Characters on algebras of smooth functions. Zbl 0691.58020
Kriegl, A.; Michor, P.; Schachermayer, W.
7
1989
Reflection groups on Riemannian manifolds. Zbl 1232.51010
Alekseevsky, Dmitri V.; Kriegl, Andreas; Losik, Mark; Michor, Peter W.
7
2007
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
Convergence vector spaces for analysis. Zbl 0658.46002
Frölicher, A.; Kriegl, A.
6
1985
Eine Theorie glatter Mannigfaltigkeiten und Vektorbuendel. (Dissertation). Zbl 0476.58003
Kriegl, Andreas
5
1980
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
Many parameter Hölder perturbation of unbounded operators. Zbl 1243.47031
Kriegl, Andreas; Michor, Peter W.; Rainer, Armin
5
2012
General differentiation theory. Zbl 0602.58011
Frölicher, Alfred; Gisin, Bernard; Kriegl, Andreas
4
1983
Remarks of germs in infinite dimensions. Zbl 1049.46502
Kriegl, A.
4
1997
The exponential law for spaces of test functions and diffeomorphism groups. Zbl 1346.46019
Kriegl, Andreas; Michor, Peter W.; Rainer, Armin
4
2016
Lifting smooth curves over invariants for representations of compact Lie groups. III. Zbl 1112.22003
Kriegl, Andreas; Losik, Mark; Michor, Peter W.; Rainer, Armin
4
2006
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
\(C^{\infty}\)-algebras from the functional analytic view point. Zbl 0621.46046
Kainz, G.; Kriegl, A.; Michor, P.
2
1987
A characterization of reduced incidence algebras. Zbl 0455.05012
Kriegl, Andreas
1
1981
Countably evaluating homomorphisms on real function algebras. Zbl 1050.46025
Adam, Eva; Biström, Peter; Kriegl, Andreas
1
1999
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
Topology and differentiation theory. Zbl 0809.58001
Frölicher, Alfred; Kriegl, Andreas
1
1992
Convenient vector spaces of smooth functions. Zbl 0752.46027
Kriegl, A.; Nel, L. D.
1
1990
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
11
2015
The convenient setting for Denjoy-Carleman differentiable mappings of Beurling and Roumieu type. Zbl 1331.26050
Kriegl, Andreas; Michor, Peter W.; Rainer, Armin
10
2015
Many parameter Hölder perturbation of unbounded operators. Zbl 1243.47031
Kriegl, Andreas; Michor, Peter W.; Rainer, Armin
5
2012
The convenient setting for quasianalytic Denjoy-Carleman differentiable mappings. Zbl 1250.46018
Kriegl, Andreas; Michor, Peter W.; Rainer, Armin
15
2011
Denjoy-Carleman differentiable perturbation of polynomials and unbounded operators. Zbl 1244.26028
Kriegl, Andreas; Michor, Peter W.; Rainer, Armin
9
2011
The convenient setting for non-quasianalytic Denjoy-Carleman differentiable mappings. Zbl 1178.46039
Kriegl, Andreas; Michor, Peter W.; Rainer, Armin
20
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.
7
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
4
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.
15
2003
Differentiable perturbation of unbounded operators. Zbl 1054.47014
Kriegl, Andreas; Michor, Peter W.
11
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.
7
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
27
1998
The convenient setting of global analysis. Zbl 0889.58001
Kriegl, Andreas; Michor, Peter W.
323
1997
Regular infinite dimensional Lie groups. Zbl 0893.22012
Kriegl, Andreas; Michor, Peter W.
25
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.
30
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
72
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
1
1981
Eine Theorie glatter Mannigfaltigkeiten und Vektorbuendel. (Dissertation). Zbl 0476.58003
Kriegl, Andreas
5
1980
all top 5

Cited by 471 Authors

40 Michor, Peter Wolfram
23 Kriegl, Andreas
23 Rainer, Armin
13 Glöckner, Helge
13 Neeb, Karl-Hermann
13 Schmeding, Alexander
12 Bauer, Martin
11 Nigsch, Eduard Albert
10 Bruveris, Martins
8 Beltiţă, Daniel
8 Gay-Balmaz, François
8 Nel, Louis Daniel
8 Vizman, Cornelia
7 Magnot, Jean-Pierre
7 Wockel, Christoph
6 Canarutto, Daniel
6 Domański, Pawel Jan
6 Fredenhagen, Klaus
6 Giordano, Paolo Robuffo
6 Losik, Mark V.
6 Rybicki, Tomasz
6 Teichmann, Josef
5 Colebunders, Eva
5 Galanis, George N.
5 Mumford, David Bryant
5 Pelletier, Fernand
5 Rejzner, Katarzyna
4 Biström, Peter
4 Bonet Solves, José
4 Boulabiar, Karim Mohamed
4 Galé, José E.
4 Harms, Philipp
4 Kunzinger, Michael
4 Lindström, Mikael
4 Lucyshyn-Wright, Rory B. B.
4 Modin, Klas
4 Ratiu, Tudor Stefan
4 Rejzner, Kasia
3 Akbarov, Sergei S.
3 Alekseevskiĭ, Dmitriĭ Vladimirovich
3 Brunetti, Romeo
3 Cabau, Patrick
3 Cruttwell, G. S. H.
3 Dahmen, Rafael
3 Filipović, Damir
3 Frölicher, Alfred
3 Gomes, Henrique de A.
3 Haller, Stefan
3 Holm, Darryl D.
3 Kock, Anders
3 Molitor, Mathieu
3 Parusiński, Adam
3 Pötzsche, Christian
3 Razumov, Alexander V.
3 Salvai, Marcos
3 Spagnolo, Sergio
3 Spera, Mauro
3 Taglialatela, Giovanni
3 Waldmann, Stefan
3 Wu, Enxin
3 Zenkov, Dmitry V.
2 Amiri, Habib
2 Arguillère, Sylvain
2 Ben Amor, Fethi
2 Bentley, H. Lamar
2 Besse, Nicolas
2 Bjon, Sten
2 Bloch, Anthony M.
2 Bogfjellmo, Geir
2 Brouder, Christian
2 Chruściel, Piotr Tadeusz
2 Colombini, Ferruccio
2 Cukrowski, Michał Jan
2 Dabrowski, Yoann
2 Dave, Shantanu
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 Hanusch, Maximilian
2 Herrlich, Horst
2 Hillairet, Luc
2 Hochgerner, Simon
2 Holmes, Susan P.
2 Hormann, Gunther
2 Jézéquel, Malo
2 Kainz, Gerd
2 Kerjean, Marie
2 Khavkine, Igor
2 Kolev, Boris
2 Kruse, Karsten
2 Kurdyka, Krzysztof
2 Lott, John
2 Lowen, Robert
...and 371 more Authors
all top 5

Cited in 168 Serials

19 Communications in Mathematical Physics
19 Journal of Geometry and Physics
19 Monatshefte für Mathematik
19 Annals of Global Analysis and Geometry
17 Differential Geometry and its Applications
16 Journal of Functional Analysis
15 Advances in Mathematics
10 Journal of Mathematical Physics
9 Israel Journal of Mathematics
9 Transactions of the American Mathematical Society
9 Topology and its Applications
8 International Journal of Geometric Methods in Modern Physics
7 Cahiers de Topologie et Géométrie Différentielle Catégoriques
7 Journal of Geometric Mechanics
6 Journal of Mathematical Analysis and Applications
6 Letters in Mathematical Physics
6 Proceedings of the American Mathematical Society
6 Indagationes Mathematicae. New Series
5 Annales de l’Institut Fourier
5 Journal of Pure and Applied Algebra
5 MSCS. Mathematical Structures in Computer Science
5 Journal of Mathematical Sciences (New York)
5 Transformation Groups
4 Nuclear Physics. B
4 Reports on Mathematical Physics
4 Demonstratio Mathematica
4 Geometriae Dedicata
4 Mathematische Annalen
4 Mathematische Nachrichten
4 Mathematische Zeitschrift
4 Numerische Mathematik
4 Expositiones Mathematicae
4 Journal of Nonlinear Science
4 Calculus of Variations and Partial Differential Equations
3 Archive for Rational Mechanics and Analysis
3 Rocky Mountain Journal of Mathematics
3 Studia Mathematica
3 Reviews in Mathematical Physics
3 Annali di Matematica Pura ed Applicata. Serie Quarta
3 Acta Applicandae Mathematicae
3 Revista Matemática Iberoamericana
3 Forum Mathematicum
3 Linear Algebra and its Applications
3 Revista Matemática Complutense
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 The Journal of Geometric Analysis
2 SIAM Journal on Optimization
2 Journal of Mathematical Imaging and Vision
2 Applied Categorical Structures
2 Bulletin des Sciences Mathématiques
2 Theory and Applications of Categories
2 Discrete and Continuous Dynamical Systems
2 Positivity
2 Geometry & Topology
2 Journal of High Energy Physics
2 Journal of the Institute of Mathematics of Jussieu
2 Kyoto Journal of Mathematics
2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
2 Forum of Mathematics, Sigma
2 Mathematics
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 BIT
1 Bulletin of the London Mathematical Society
1 Canadian Journal of Mathematics
1 Collectanea Mathematica
1 Commentarii Mathematici Helvetici
1 Commentationes Mathematicae Universitatis Carolinae
1 Compositio Mathematica
1 Functiones et Approximatio. Commentarii Mathematici
1 Fuzzy Sets and Systems
1 Glasgow Mathematical Journal
1 Inventiones Mathematicae
1 Journal of Approximation Theory
1 Journal of Differential Geometry
1 Manuscripta Mathematica
...and 68 more Serials
all top 5

Cited in 57 Fields

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

Citations by Year