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Warner, Garth

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Author ID: warner.garth Recent zbMATH articles by "Warner, Garth"
Published as: Warner, G.; Warner, Garth
External Links: MGP · Wikidata · GND
Documents Indexed: 30 Publications since 1968, including 4 Books

Publications by Year

Citations contained in zbMATH Open

22 Publications have been cited 684 times in 611 Documents Cited by Year
Harmonic analysis on semi-simple Lie groups I. Zbl 0265.22020
Warner, Garth
442
1972
Harmonic analysis on semi-simple Lie groups II. Zbl 0265.22021
Warner, Garth
104
1972
Selberg’s trace formula for nonuniform lattices: The \(\mathbb{R}\)-rank one case. Zbl 0466.10018
Warner, Garth
21
1979
The theory of Eisenstein systems. Zbl 0489.43009
Osborne, M. Scott; Warner, Garth
20
1981
The Fourier transform on semisimple Lie groups of real rank one. Zbl 0305.43007
Sally, Paul J. jun.; Warner, Garth
16
1973
The Burkill-Cesari integral. Zbl 0165.06702
Warner, G.
15
1968
Multiplicities of the integrable discrete series: the case of a nonuniform lattice in an R-rank one semisimple group. Zbl 0397.22002
Osborne, M. Scott; Warner, Garth
14
1978
The generalized Weierstrass-type integral \(\int f(\xi,\varphi)\). Zbl 0174.09203
Warner, G.
11
1968
The Selberg trace formula. I: Gamma-rank one lattices. Zbl 0469.22007
Osborne, M. Scott; Warner, Garth
10
1981
On Selberg’s trace formula. Zbl 0325.22014
Gangolli, Ramesh; Warner, Garth
6
1975
On the normalization of Haar measures in the representation theory of compact semi-simple Lie groups. Zbl 0235.22018
Warner, Garth
6
1970
The Selberg trace formula. II: Partition, reduction, truncation. Zbl 0515.22013
Osborne, M. Scott; Warner, Garth
4
1983
The Selberg trace formula. VIII: Contribution from the continuous spectrum. Zbl 0732.11024
Osborne, M. Scott; Warner, Garth
2
1991
On the Dini calculus. Zbl 0606.42012
Osborne, M. Scott; Warner, Garth
2
1986
Noninvariant integrals on semisimple groups of \(\mathbb R\)-rank one. Zbl 0578.22008
Warner, Garth
2
1985
The Selberg trace formula. V: Questions of trace class. Zbl 0566.22016
Osborne, M. Scott; Warner, Garth
2
1984
On a method for computing multiplicities in \(L_2(\Gamma\setminus G)\). Zbl 0411.22016
Ragozin, David L.; Warner, Garth
2
1977
The Selberg trace formula. VII: Application of the truncation process to the continuous spectrum. Zbl 0697.22021
Osborne, M. Scott; Warner, Garth
1
1989
Application of the Selberg trace formula to the Riemann-Roch theorem. Zbl 0638.30045
Warner, Garth
1
1988
A characterization of the stable invariant integral. Zbl 0607.22005
Warner, Garth
1
1986
Zeta functions on the real general linear group. Zbl 0273.43015
Warner, Garth
1
1973
Fourier inversion for semisimple Lie groups of real rank one. Zbl 0249.22008
Sally, P. J. jun.; Warner, Garth
1
1972
The Selberg trace formula. VIII: Contribution from the continuous spectrum. Zbl 0732.11024
Osborne, M. Scott; Warner, Garth
2
1991
The Selberg trace formula. VII: Application of the truncation process to the continuous spectrum. Zbl 0697.22021
Osborne, M. Scott; Warner, Garth
1
1989
Application of the Selberg trace formula to the Riemann-Roch theorem. Zbl 0638.30045
Warner, Garth
1
1988
On the Dini calculus. Zbl 0606.42012
Osborne, M. Scott; Warner, Garth
2
1986
A characterization of the stable invariant integral. Zbl 0607.22005
Warner, Garth
1
1986
Noninvariant integrals on semisimple groups of \(\mathbb R\)-rank one. Zbl 0578.22008
Warner, Garth
2
1985
The Selberg trace formula. V: Questions of trace class. Zbl 0566.22016
Osborne, M. Scott; Warner, Garth
2
1984
The Selberg trace formula. II: Partition, reduction, truncation. Zbl 0515.22013
Osborne, M. Scott; Warner, Garth
4
1983
The theory of Eisenstein systems. Zbl 0489.43009
Osborne, M. Scott; Warner, Garth
20
1981
The Selberg trace formula. I: Gamma-rank one lattices. Zbl 0469.22007
Osborne, M. Scott; Warner, Garth
10
1981
Selberg’s trace formula for nonuniform lattices: The \(\mathbb{R}\)-rank one case. Zbl 0466.10018
Warner, Garth
21
1979
Multiplicities of the integrable discrete series: the case of a nonuniform lattice in an R-rank one semisimple group. Zbl 0397.22002
Osborne, M. Scott; Warner, Garth
14
1978
On a method for computing multiplicities in \(L_2(\Gamma\setminus G)\). Zbl 0411.22016
Ragozin, David L.; Warner, Garth
2
1977
On Selberg’s trace formula. Zbl 0325.22014
Gangolli, Ramesh; Warner, Garth
6
1975
The Fourier transform on semisimple Lie groups of real rank one. Zbl 0305.43007
Sally, Paul J. jun.; Warner, Garth
16
1973
Zeta functions on the real general linear group. Zbl 0273.43015
Warner, Garth
1
1973
Harmonic analysis on semi-simple Lie groups I. Zbl 0265.22020
Warner, Garth
442
1972
Harmonic analysis on semi-simple Lie groups II. Zbl 0265.22021
Warner, Garth
104
1972
Fourier inversion for semisimple Lie groups of real rank one. Zbl 0249.22008
Sally, P. J. jun.; Warner, Garth
1
1972
On the normalization of Haar measures in the representation theory of compact semi-simple Lie groups. Zbl 0235.22018
Warner, Garth
6
1970
The Burkill-Cesari integral. Zbl 0165.06702
Warner, G.
15
1968
The generalized Weierstrass-type integral \(\int f(\xi,\varphi)\). Zbl 0174.09203
Warner, G.
11
1968
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Cited by 546 Authors

14 San Martin, Luiz Antonio Barrera
11 Delorme, Patrick
11 Ólafsson, Gestur
9 Neeb, Karl-Hermann
9 Warner, Garth
8 Herb, Rebecca A.
7 Hilgert, Joachim
6 Arnal, Didier
6 Dani, Shrikrishna Gopalrao
6 Hoffmann, Werner
6 Kangni, Kinvi
6 Ørsted, Bent
5 Barbasch, Dan M.
5 Clerc, Jean-Louis
5 Dobrev, Vladimir K.
5 Gauthier, Jean-Paul A.
5 Kaniuth, Eberhard
5 Kawazoe, Takeshi
5 Kobayashi, Toshiyuki
5 Kramer, Linus
5 Osborne, M. Scott
5 Salvadori, Anna
5 Schmüdgen, Konrad
5 Speh, Birgit
5 Van den Ban, Erik Peter
5 Vogan, David Alexander jun.
5 Wallach, Nolan Russell
4 Arthur, James Greig
4 Awonusika, Richard Olu
4 Brandi, Primo
4 Casselman, William A.
4 Christensen, Jens Gerlach
4 El Assoudi-Baikari, Rachida
4 Frahm, Jan
4 Helgason, Sigurdur
4 Jørgensen, Palle E. T.
4 Lepowsky, James
4 Park, Jinsung
4 Pinczon, Georges
4 Przebinda, Tomasz
4 Sally, Paul J. jun.
4 Schmid, Wilfried
4 Silva, Adriano Da
4 Tirao, Juan
4 Tsuzuki, Masao
4 Williams, Floyd L.
4 Wolf, Joseph Albert
3 Barnes, Bruce A.
3 Boni, Mauro
3 Carey, Alan L.
3 Carroll, Robert W.
3 Clozel, Laurent
3 Collingwood, David H.
3 Cygan, Jacek M.
3 Donnelly, Harold
3 Eguchi, Masaaki
3 Ji, Lizhen
3 Kostant, Bertram
3 Krötz, Bernhard J.
3 Lassalle, Michel
3 Leuzinger, Enrico
3 Mack, Gerhard
3 Matumoto, Hisayosi
3 McCrudden, Michael
3 Meaney, Christopher
3 Miatello, Roberto Jorge
3 Müller, Werner
3 Murray, Michael K.
3 Nacinovich, Mauro
3 Oda, Takayuki
3 Parshall, Brian J.
3 Pfaff, Jonathan
3 Richardson, Leonard Frederick
3 Richardson, Roger Wolcott
3 Schlichtkrull, Henrik
3 Seco, Lucas
3 Selmi, Mohamed
3 Soudry, David
3 Stanton, Robert J.
3 Veech, William Austin
3 Wang, Zhenqi Jenny
2 Aarnes, Johan Fredrik
2 Abdelmoula, Lobna
2 Alcantara, Julio
2 Alldridge, Alexander
2 Ayala, Victor
2 Bekka, Mohammed el Bachir
2 Bernon, Florent
2 Bidegain, Frederic
2 Bieliavsky, Pierre
2 Borel, Armand
2 Bouaziz, Abderrazak
2 Bougerol, Philippe
2 Branson, Thomas Patrick
2 Cahen, Michel
2 Cassinelli, Gianni
2 Cowling, Michael G.
2 De Vito, Ernesto
2 DeGeorge, David Lee
2 Đoković, Dragomir Ž.
...and 446 more Authors
all top 5

Cited in 128 Serials

93 Journal of Functional Analysis
32 Transactions of the American Mathematical Society
26 Inventiones Mathematicae
25 Advances in Mathematics
23 Mathematische Annalen
20 Duke Mathematical Journal
18 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
17 Compositio Mathematica
16 Proceedings of the American Mathematical Society
15 Reports on Mathematical Physics
15 Journal of Algebra
11 Annales de l’Institut Fourier
10 Journal of Mathematical Analysis and Applications
9 Israel Journal of Mathematics
9 Letters in Mathematical Physics
9 Manuscripta Mathematica
9 Mathematische Zeitschrift
8 Communications in Mathematical Physics
8 Proceedings of the Japan Academy. Series A
8 Rendiconti del Circolo Matemàtico di Palermo. Serie II
7 Journal of Geometry and Physics
6 Monatshefte für Mathematik
6 Semigroup Forum
6 Journal of Dynamical and Control Systems
6 Bulletin of the American Mathematical Society
5 Acta Mathematica
5 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section A. Physique Théorique
5 Bulletin de la Société Mathématique de France
5 Geometriae Dedicata
5 Journal of Number Theory
5 Publications of the Research Institute for Mathematical Sciences, Kyoto University
5 Tohoku Mathematical Journal. Second Series
5 Annals of Global Analysis and Geometry
5 Differential Geometry and its Applications
4 Annali di Matematica Pura ed Applicata. Serie Quarta
4 Ergodic Theory and Dynamical Systems
4 Transformation Groups
3 Journal d’Analyse Mathématique
3 Arkiv för Matematik
3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
3 Publications Mathématiques
3 Memoirs of the American Mathematical Society
3 Forum Mathematicum
3 Geometric and Functional Analysis. GAFA
3 Bulletin of the American Mathematical Society. New Series
3 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
3 Indagationes Mathematicae. New Series
3 Representation Theory
3 Journal of the Institute of Mathematics of Jussieu
2 Mathematical Proceedings of the Cambridge Philosophical Society
2 Nuclear Physics. B
2 Journal of Economic Theory
2 Journal of Optimization Theory and Applications
2 Journal für die Reine und Angewandte Mathematik
2 Mathematische Nachrichten
2 Mathematical Systems Theory
2 Systems & Control Letters
2 Acta Applicandae Mathematicae
2 Journal of Theoretical Probability
2 MCSS. Mathematics of Control, Signals, and Systems
2 The Journal of Geometric Analysis
2 Communications in Partial Differential Equations
2 Mémoires de la Société Mathématique de France. Nouvelle Série
2 Annales de l’Institut Henri Poincaré. Physique Théorique
2 Annales Mathématiques Blaise Pascal
2 Annals of Mathematics. Second Series
2 Journal of High Energy Physics
2 Advances in Geometry
2 Dynamical Systems
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Proceedings of the Japan Academy
2 Annali della Scuola Normale Superiore di Pisa. Scienze Fisiche e Matematiche. III. Ser
2 Afrika Matematika
1 Archive for Rational Mechanics and Analysis
1 Communications on Pure and Applied Mathematics
1 International Journal of Theoretical Physics
1 Journal of Mathematical Physics
1 Mathematical Biosciences
1 Mathematical Methods in the Applied Sciences
1 Studia Mathematica
1 Ukrainian Mathematical Journal
1 Reviews in Mathematical Physics
1 Archiv der Mathematik
1 Journal of Approximation Theory
1 Journal of Differential Equations
1 Journal of the Mathematical Society of Japan
1 Journal of Soviet Mathematics
1 Proceedings of the Edinburgh Mathematical Society. Series II
1 Results in Mathematics
1 Siberian Mathematical Journal
1 Transactions of the Moscow Mathematical Society
1 Topology and its Applications
1 Stochastic Analysis and Applications
1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
1 International Journal of Mathematics
1 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section B. Calcul des Probabilités et Statistique
1 Annals of Physics
1 Linear Algebra and its Applications
1 Journal of Dynamics and Differential Equations
1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
...and 28 more Serials
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Cited in 49 Fields

376 Topological groups, Lie groups (22-XX)
166 Abstract harmonic analysis (43-XX)
70 Number theory (11-XX)
70 Nonassociative rings and algebras (17-XX)
69 Differential geometry (53-XX)
52 Global analysis, analysis on manifolds (58-XX)
37 Functional analysis (46-XX)
36 Several complex variables and analytic spaces (32-XX)
29 Dynamical systems and ergodic theory (37-XX)
27 Group theory and generalizations (20-XX)
27 Operator theory (47-XX)
22 Special functions (33-XX)
22 Manifolds and cell complexes (57-XX)
21 Algebraic geometry (14-XX)
20 Partial differential equations (35-XX)
20 Quantum theory (81-XX)
19 Harmonic analysis on Euclidean spaces (42-XX)
19 Systems theory; control (93-XX)
17 Measure and integration (28-XX)
15 Calculus of variations and optimal control; optimization (49-XX)
13 Probability theory and stochastic processes (60-XX)
12 Associative rings and algebras (16-XX)
8 Integral transforms, operational calculus (44-XX)
7 Geometry (51-XX)
5 Ordinary differential equations (34-XX)
4 Real functions (26-XX)
4 Functions of a complex variable (30-XX)
4 General topology (54-XX)
3 Category theory; homological algebra (18-XX)
3 Integral equations (45-XX)
3 Convex and discrete geometry (52-XX)
3 Algebraic topology (55-XX)
3 Mechanics of particles and systems (70-XX)
2 Field theory and polynomials (12-XX)
2 Potential theory (31-XX)
2 Statistics (62-XX)
2 Relativity and gravitational theory (83-XX)
2 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 General and overarching topics; collections (00-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Linear and multilinear algebra; matrix theory (15-XX)
1 Difference and functional equations (39-XX)
1 Approximations and expansions (41-XX)
1 Numerical analysis (65-XX)
1 Mechanics of deformable solids (74-XX)
1 Fluid mechanics (76-XX)
1 Statistical mechanics, structure of matter (82-XX)
1 Biology and other natural sciences (92-XX)
1 Information and communication theory, circuits (94-XX)

Citations by Year

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