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## Casselman, William A.

Compute Distance To:
 Author ID: casselman.william-a Published as: Casselman, Bill; Casselman, W.; Casselman, W. A.; Casselman, William; Casselman, William A. External Links: MGP · Wikidata · GND
 Documents Indexed: 62 Publications since 1971, including 4 Books
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#### Co-Authors

 49 single-authored 5 Borel, Armand 2 Miličić, Dragan 2 Osborne, M. Scott 1 Cely, Jorge E. 1 Hales, Thomas Callister 1 Hecht, Henryk 1 Shahidi, Freydoon 1 Shalika, Joseph A. 1 Wigner, David
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#### Serials

 7 Notices of the American Mathematical Society 5 Mathematische Annalen 3 Compositio Mathematica 3 Inventiones Mathematicae 3 Proceedings of Symposia in Pure Mathematics 2 Canadian Journal of Mathematics 2 Duke Mathematical Journal 2 Representation Theory 2 The Asian Journal of Mathematics 1 American Journal of Mathematics 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Gazette des Mathématiciens 1 Journal of the Faculty of Science. Section I A 1 Transactions of the American Mathematical Society 1 Bulletin of the Iranian Mathematical Society 1 L’Enseignement Mathématique. 2e Série 1 Comptes Rendus de l’Académie des Sciences. Série I 1 The Electronic Journal of Combinatorics 1 Journal of Lie Theory 1 Bulletin of the American Mathematical Society 1 Pure and Applied Mathematics Quarterly
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#### Fields

 32 Topological groups, Lie groups (22-XX) 23 Number theory (11-XX) 17 Group theory and generalizations (20-XX) 10 Algebraic geometry (14-XX) 6 General and overarching topics; collections (00-XX) 5 Nonassociative rings and algebras (17-XX) 5 Computer science (68-XX) 4 History and biography (01-XX) 4 Convex and discrete geometry (52-XX) 4 Manifolds and cell complexes (57-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Abstract harmonic analysis (43-XX) 3 Geometry (51-XX) 2 Functions of a complex variable (30-XX) 1 Combinatorics (05-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Algebraic topology (55-XX) 1 Information and communication theory, circuits (94-XX) 1 Mathematics education (97-XX)

#### Citations contained in zbMATH

49 Publications have been cited 811 times in 683 Documents Cited by Year
The unramified principal series of p-adic groups. II: The Whittaker function. Zbl 0472.22005
Casselman, William; Shalika, J.
1980
The unramified principal series of p-adic groups. I: The spherical function. Zbl 0472.22004
Casselman, William
1980
On some results of Atkin and Lehner. Zbl 0239.10015
Casselman, William
1973
Canonical extensions of Harish-Chandra modules to representations of $$G$$. Zbl 0702.22016
Casselman, W.
1989
Asymptotic behavior of matrix coefficients of admissible representations. Zbl 0524.22014
Casselman, William; Milicic, Dragan
1982
Characters and Jacquet modules. Zbl 0337.22019
Casselman, William
1977
$$L^ 2$$-cohomology of locally symmetric manifolds of finite volume. Zbl 0528.22012
Borel, Armand; Casselman, William
1983
The $$n$$-cohomology of representations with an infinitesimal character. Zbl 0343.17006
Casselman, William; Osborne, M. Scott
1975
A new non-unitarity argument for $$p$$-adic representations. Zbl 0519.22011
Casselman, William
1981
On irreducibility of standard modules for generic representations. Zbl 0947.11022
Casselman, William; Shahidi, Freydoon
1998
The restriction of admissible representations to $$n$$. Zbl 0355.20041
Casselman, William; Osborne, M. Scott
1978
On a p-adic vanishing theorem of Garland. Zbl 0354.20033
Casselman, William
1974
Continuous cohomology and a conjecture of Serre’s. Zbl 0297.20060
Casselman, William; Wigner, David
1974
The restriction of a representation of GL$$_2(k)$$ to GL$$_0(0)$$. Zbl 0253.20062
Casselman, William
1973
Jacquet modules for real reductive groups. Zbl 0425.22019
Casselman, William
1980
Bruhat filtrations and Whittaker vectors for real groups. Zbl 0959.22010
Casselman, William; Hecht, Henryk; Miličić, Dragan
2000
Introduction to the Schwartz space of $$\Gamma$$ $$\backslash G$$. Zbl 0723.22010
Casselman, W.
1989
The Steinberg character as a true character. Zbl 0289.22017
Casselman, William
1973
Verifying Kottwitz’ conjecture by computer. Zbl 1045.20038
Casselman, Bill
2000
The difficulties of kissing in three dimensions. Zbl 1168.52304
Casselman, Bill
2004
The Hasse-Weil $$\zeta$$-function of some moduli varieties of dimension greater than one. Zbl 0415.14011
Casselman, William
1979
On the representations of SL$$_2(k)$$ related to binary quadratic forms. Zbl 0259.22017
Casselman, William
1972
Computation in Coxeter groups. I: Multiplication. Zbl 0996.20026
Casselman, Bill
2002
Automata to perform basic calculations in Coxeter groups. Zbl 0839.20054
Casselman, W. A.
1995
Machine calculations in Weyl groups. Zbl 0829.20058
Casselman, William A.
1994
Automorphic forms, representations and $$L$$-functions. Proceedings of the symposium in pure mathematics of the American Mathematical Society, held at Oregon State University, Corvallis, Oregon, July 11 – August 5, 1977. Zbl 0403.00003
Borel, Armand (ed.); Casselman, William (ed.)
1979
Cohomologie d’intersection et $$L^ 2$$-cohomologie de variétés arithmétiques de rang rationnel 2. (Intersection cohomology and $$L^ 2$$-cohomology of arithmetic varieties of rational rank 2). Zbl 0612.14018
Borel, Armand; Casselman, William
1985
On abelian varieties with many endomorphisms and a conjecture of Shimura’s. Zbl 0213.47303
Casselman, William
1971
Stability of lattices and the partition of arithmetic quotients. Zbl 1086.22007
Casselman, Bill
2004
Geometric rationality of Satake compactifications. Zbl 0911.14027
Casselman, W. A.
1997
Jacquet modules and the asymptotic behaviour of matrix coefficients. Zbl 1222.22012
Casselman, Bill
2011
An assortment of results on representations of $$GL_2(k)$$. Zbl 0301.22011
Casselman, William
1973
Computation in Coxeter groups. II: Constructing minimal roots. Zbl 1166.20029
Casselman, Bill
2008
Extended automorphic forms on the upper half plane. Zbl 0786.11025
Casselman, W.
1993
$$L^ 2$$-cohomology for groups of real rank one. Zbl 0528.22011
Casselman, William
1983
On representations of $$GL_2$$ and the arithmetic of modular curves. Zbl 0302.22020
Casselman, William
1973
Symmetric powers and the Satake transform. Zbl 1423.11097
Casselman, Bill
2017
Structure constants of Kac-Moody Lie algebras. Zbl 1362.17049
Casselman, Bill
2014
The construction of Hecke algebras associated to a Coxeter group. Zbl 1228.20005
Casselman, Bill
2011
Computations in real tori. Zbl 1158.22005
Casselman, Bill
2008
The $$L$$-group. Zbl 1035.11019
Casselman, Bill
2001
Introduction to the $$L^ 2$$-cohomology of arithmetic quotients of bounded symmetric domains. Zbl 0669.22004
Casselman, William
1987
Automorphic forms and a Hodge theory for congruence subgroups of $$SL_ 2({\mathbb{Z}})$$. Zbl 0534.32014
Casselman, William
1984
Automorphic forms, representations and $$L$$-functions. Proceedings of the symposium in pure mathematics of the American Mathematical Society, held at Oregon State University, Corvallis, Oregon, July 11 - August 5, 1977. Zbl 0403.00002
Borel, Armand (ed.); Casselman, William (ed.)
1979
The spherical Hecke algebra, partition functions, and motivic integration. Zbl 1418.22008
Casselman, William; Cely, Jorge E.; Hales, Thomas
2019
On Chevalley’s formula for structure constants. Zbl 1362.17012
Casselman, Bill
2015
Some of my memories of Armand Borel. Zbl 1072.01527
Casselman, Bill
2004
On the Plancherel measure for the continuous spectrum of the modular group. Zbl 0930.22012
Casselman, Bill
1999
$$\mathrm{GL}_n$$. Zbl 0398.12008
Casselman, William
1977
The spherical Hecke algebra, partition functions, and motivic integration. Zbl 1418.22008
Casselman, William; Cely, Jorge E.; Hales, Thomas
2019
Symmetric powers and the Satake transform. Zbl 1423.11097
Casselman, Bill
2017
On Chevalley’s formula for structure constants. Zbl 1362.17012
Casselman, Bill
2015
Structure constants of Kac-Moody Lie algebras. Zbl 1362.17049
Casselman, Bill
2014
Jacquet modules and the asymptotic behaviour of matrix coefficients. Zbl 1222.22012
Casselman, Bill
2011
The construction of Hecke algebras associated to a Coxeter group. Zbl 1228.20005
Casselman, Bill
2011
Computation in Coxeter groups. II: Constructing minimal roots. Zbl 1166.20029
Casselman, Bill
2008
Computations in real tori. Zbl 1158.22005
Casselman, Bill
2008
The difficulties of kissing in three dimensions. Zbl 1168.52304
Casselman, Bill
2004
Stability of lattices and the partition of arithmetic quotients. Zbl 1086.22007
Casselman, Bill
2004
Some of my memories of Armand Borel. Zbl 1072.01527
Casselman, Bill
2004
Computation in Coxeter groups. I: Multiplication. Zbl 0996.20026
Casselman, Bill
2002
The $$L$$-group. Zbl 1035.11019
Casselman, Bill
2001
Bruhat filtrations and Whittaker vectors for real groups. Zbl 0959.22010
Casselman, William; Hecht, Henryk; Miličić, Dragan
2000
Verifying Kottwitz’ conjecture by computer. Zbl 1045.20038
Casselman, Bill
2000
On the Plancherel measure for the continuous spectrum of the modular group. Zbl 0930.22012
Casselman, Bill
1999
On irreducibility of standard modules for generic representations. Zbl 0947.11022
Casselman, William; Shahidi, Freydoon
1998
Geometric rationality of Satake compactifications. Zbl 0911.14027
Casselman, W. A.
1997
Automata to perform basic calculations in Coxeter groups. Zbl 0839.20054
Casselman, W. A.
1995
Machine calculations in Weyl groups. Zbl 0829.20058
Casselman, William A.
1994
Extended automorphic forms on the upper half plane. Zbl 0786.11025
Casselman, W.
1993
Canonical extensions of Harish-Chandra modules to representations of $$G$$. Zbl 0702.22016
Casselman, W.
1989
Introduction to the Schwartz space of $$\Gamma$$ $$\backslash G$$. Zbl 0723.22010
Casselman, W.
1989
Introduction to the $$L^ 2$$-cohomology of arithmetic quotients of bounded symmetric domains. Zbl 0669.22004
Casselman, William
1987
Cohomologie d’intersection et $$L^ 2$$-cohomologie de variétés arithmétiques de rang rationnel 2. (Intersection cohomology and $$L^ 2$$-cohomology of arithmetic varieties of rational rank 2). Zbl 0612.14018
Borel, Armand; Casselman, William
1985
Automorphic forms and a Hodge theory for congruence subgroups of $$SL_ 2({\mathbb{Z}})$$. Zbl 0534.32014
Casselman, William
1984
$$L^ 2$$-cohomology of locally symmetric manifolds of finite volume. Zbl 0528.22012
Borel, Armand; Casselman, William
1983
$$L^ 2$$-cohomology for groups of real rank one. Zbl 0528.22011
Casselman, William
1983
Asymptotic behavior of matrix coefficients of admissible representations. Zbl 0524.22014
Casselman, William; Milicic, Dragan
1982
A new non-unitarity argument for $$p$$-adic representations. Zbl 0519.22011
Casselman, William
1981
The unramified principal series of p-adic groups. II: The Whittaker function. Zbl 0472.22005
Casselman, William; Shalika, J.
1980
The unramified principal series of p-adic groups. I: The spherical function. Zbl 0472.22004
Casselman, William
1980
Jacquet modules for real reductive groups. Zbl 0425.22019
Casselman, William
1980
The Hasse-Weil $$\zeta$$-function of some moduli varieties of dimension greater than one. Zbl 0415.14011
Casselman, William
1979
Automorphic forms, representations and $$L$$-functions. Proceedings of the symposium in pure mathematics of the American Mathematical Society, held at Oregon State University, Corvallis, Oregon, July 11 – August 5, 1977. Zbl 0403.00003
Borel, Armand (ed.); Casselman, William (ed.)
1979
Automorphic forms, representations and $$L$$-functions. Proceedings of the symposium in pure mathematics of the American Mathematical Society, held at Oregon State University, Corvallis, Oregon, July 11 - August 5, 1977. Zbl 0403.00002
Borel, Armand (ed.); Casselman, William (ed.)
1979
The restriction of admissible representations to $$n$$. Zbl 0355.20041
Casselman, William; Osborne, M. Scott
1978
Characters and Jacquet modules. Zbl 0337.22019
Casselman, William
1977
$$\mathrm{GL}_n$$. Zbl 0398.12008
Casselman, William
1977
The $$n$$-cohomology of representations with an infinitesimal character. Zbl 0343.17006
Casselman, William; Osborne, M. Scott
1975
On a p-adic vanishing theorem of Garland. Zbl 0354.20033
Casselman, William
1974
Continuous cohomology and a conjecture of Serre’s. Zbl 0297.20060
Casselman, William; Wigner, David
1974
On some results of Atkin and Lehner. Zbl 0239.10015
Casselman, William
1973
The restriction of a representation of GL$$_2(k)$$ to GL$$_0(0)$$. Zbl 0253.20062
Casselman, William
1973
The Steinberg character as a true character. Zbl 0289.22017
Casselman, William
1973
An assortment of results on representations of $$GL_2(k)$$. Zbl 0301.22011
Casselman, William
1973
On representations of $$GL_2$$ and the arithmetic of modular curves. Zbl 0302.22020
Casselman, William
1973
On the representations of SL$$_2(k)$$ related to binary quadratic forms. Zbl 0259.22017
Casselman, William
1972
On abelian varieties with many endomorphisms and a conjecture of Shimura’s. Zbl 0213.47303
Casselman, William
1971
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#### Cited by 582 Authors

 16 Sun, Binyong 13 Casselman, William A. 13 Flicker, Yuval Z. 12 Bump, Daniel 12 Ginzburg, David 10 Schlichtkrull, Henrik 10 Van den Ban, Erik Peter 9 Friedberg, Solomon 8 Clozel, Laurent 8 Delorme, Patrick 8 Kazhdan, David A. 8 Shahidi, Freydoon 7 Gerasimov, Anton A. 7 Hida, Haruzo 7 Jacquet, Hervé Michel 7 Kaplan, Eyal 7 Lapid, Erez Moshe 7 Lebedev, Dimitri R. 7 Muić, Goran 7 Schmid, Wilfried 6 Brubaker, Ben 6 Gourevitch, Dmitry 6 Hundley, Joseph 6 Krötz, Bernhard J. 6 Mao, Zhengyu 6 Oblezin, Sergey 6 Papikian, Mihran 6 Rallis, Stephen James 6 Soudry, David 6 Tadić, Marko 6 Wolf, Joseph Albert 5 Aizenbud, Avraham 5 Bernstein, Joseph 5 Furusawa, Masaaki 5 Gan, Wee Teck 5 Geck, Meinolf 5 Gelbart, Stephen S. 5 Gross, Benedict Hyman 5 Huang, Jing-Song 5 Kim, Henry H. 5 Li, Jian-Shu 5 Rogawski, Jonathan D. 5 Savin, Gordan 5 Schmidt, Ralf 5 Shalika, Joseph A. 5 Zhu, Chen-Bo 4 Alesker, Semyon 4 Bergeron, Nicolas 4 Blanc, Philippe 4 Borel, Armand 4 Cai, Yuanqing 4 Casian, Luis G. 4 Grobner, Harald 4 Hecht, Henryk 4 Herb, Rebecca A. 4 Ichino, Atsushi 4 Jiang, Dihua 4 Matumoto, Hisayosi 4 Miller, Stephen D. 4 Pitale, Ameya 4 Sahi, Siddhartha 4 Sayag, Eitan 4 Schwermer, Joachim 4 Širola, Boris 4 Watanabe, Takao 4 Yamana, Shunsuke 3 Arthur, James Greig 3 Atobe, Hiraku 3 Barbasch, Dan M. 3 Baruch, Ehud Moshe 3 Chenevier, Gaëtan 3 Cheng, Yao 3 Cherednik, Ivan V. 3 Chida, Masataka 3 Ciubotaru, Dan 3 Collingwood, David H. 3 du Cloux, Fokko 3 Grbac, Neven 3 Gunnells, Paul E. 3 Kang, Ming-Hsuan 3 Kato, Shin-ichi 3 Koelink, Erik 3 Kondo, Satoshi 3 Kudla, Stephen S. 3 Labesse, Jean-Pierre 3 Li, Wen-Ch’ing Winnie 3 Matringe, Nadir 3 Miyauchi, Michitaka 3 Moeglin, Colette 3 Morimoto, Kazuki 3 Moy, Allen 3 Murase, Atsushi 3 Piatetski-Shapiro, Ilya 3 Prasad, Dipendra 3 Ramacher, Pablo 3 Reeder, Mark 3 Román, Pablo Manuel 3 Schneider, Peter 3 Schuster, Franz E. 3 Stuhler, Ulrich ...and 482 more Authors
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#### Cited in 116 Serials

 45 Inventiones Mathematicae 42 Journal of Number Theory 37 Compositio Mathematica 33 Israel Journal of Mathematics 33 Duke Mathematical Journal 33 Transactions of the American Mathematical Society 32 Mathematische Annalen 25 Representation Theory 24 Journal of Functional Analysis 22 Journal of Algebra 21 Advances in Mathematics 19 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 17 Mathematische Zeitschrift 14 Manuscripta Mathematica 14 Journal of the American Mathematical Society 13 Proceedings of the American Mathematical Society 9 Journal für die Reine und Angewandte Mathematik 9 Bulletin of the American Mathematical Society. New Series 9 Selecta Mathematica. New Series 9 Journal of the Institute of Mathematics of Jussieu 8 Annales de l’Institut Fourier 8 Memoirs of the American Mathematical Society 8 Annals of Mathematics. Second Series 7 Geometric and Functional Analysis. GAFA 7 International Journal of Number Theory 6 Acta Mathematica 6 Publications Mathématiques 5 Communications in Mathematical Physics 5 Journal d’Analyse Mathématique 5 Letters in Mathematical Physics 5 Bulletin de la Société Mathématique de France 5 Publications of the Research Institute for Mathematical Sciences, Kyoto University 5 Tohoku Mathematical Journal. Second Series 5 The Ramanujan Journal 4 Monatshefte für Mathematik 4 Nagoya Mathematical Journal 4 Proceedings of the Japan Academy. Series A 4 Forum Mathematicum 4 Science China. Mathematics 3 Communications in Algebra 3 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 3 Journal of the Mathematical Society of Japan 3 Journal of Soviet Mathematics 3 Mémoires de la Société Mathématique de France. Nouvelle Série 3 Documenta Mathematica 3 Transformation Groups 3 Research in Number Theory 2 Mathematics of Computation 2 Journal of Combinatorial Theory. Series A 2 European Journal of Combinatorics 2 Chinese Annals of Mathematics. Series B 2 Acta Applicandae Mathematicae 2 Experimental Mathematics 2 Journal de Théorie des Nombres de Bordeaux 2 Journal of the European Mathematical Society (JEMS) 2 Journal of the Australian Mathematical Society 2 Bulletin of the American Mathematical Society 2 Japanese Journal of Mathematics. 3rd Series 2 Forum of Mathematics, Sigma 2 Journal de l’École Polytechnique – Mathématiques 1 Computers & Mathematics with Applications 1 Computer Physics Communications 1 Indian Journal of Pure & Applied Mathematics 1 Journal of Mathematical Physics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Nuclear Physics. B 1 Arkiv för Matematik 1 Reviews in Mathematical Physics 1 Archiv der Mathematik 1 Canadian Journal of Mathematics 1 Canadian Mathematical Bulletin 1 Functional Analysis and its Applications 1 Geometriae Dedicata 1 Glasgow Mathematical Journal 1 Journal of Computational and Applied Mathematics 1 Journal of Pure and Applied Algebra 1 Mathematische Nachrichten 1 Pacific Journal of Mathematics 1 Topology and its Applications 1 Ergodic Theory and Dynamical Systems 1 Journal of Symbolic Computation 1 Discrete & Computational Geometry 1 $$K$$-Theory 1 SIAM Journal on Discrete Mathematics 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Expositiones Mathematicae 1 Indagationes Mathematicae. New Series 1 Applicable Algebra in Engineering, Communication and Computing 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Journal of Algebraic Combinatorics 1 Journal of Lie Theory 1 Bulletin des Sciences Mathématiques 1 Journal of Group Theory 1 Algebras and Representation Theory 1 Annals of Combinatorics 1 LMS Journal of Computation and Mathematics 1 Communications of the Korean Mathematical Society 1 Acta Mathematica Sinica. English Series 1 Communications in Contemporary Mathematics ...and 16 more Serials
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#### Cited in 36 Fields

 391 Topological groups, Lie groups (22-XX) 379 Number theory (11-XX) 111 Group theory and generalizations (20-XX) 69 Algebraic geometry (14-XX) 54 Nonassociative rings and algebras (17-XX) 41 Abstract harmonic analysis (43-XX) 28 Combinatorics (05-XX) 21 Special functions (33-XX) 18 Differential geometry (53-XX) 17 Global analysis, analysis on manifolds (58-XX) 16 Several complex variables and analytic spaces (32-XX) 14 Convex and discrete geometry (52-XX) 13 Manifolds and cell complexes (57-XX) 12 Quantum theory (81-XX) 11 Associative rings and algebras (16-XX) 8 Dynamical systems and ergodic theory (37-XX) 7 Algebraic topology (55-XX) 7 Computer science (68-XX) 6 Category theory; homological algebra (18-XX) 6 Functional analysis (46-XX) 5 $$K$$-theory (19-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 3 Field theory and polynomials (12-XX) 3 Partial differential equations (35-XX) 3 Probability theory and stochastic processes (60-XX) 2 General and overarching topics; collections (00-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Relativity and gravitational theory (83-XX) 2 Operations research, mathematical programming (90-XX) 1 Mathematical logic and foundations (03-XX) 1 Functions of a complex variable (30-XX) 1 Ordinary differential equations (34-XX) 1 Difference and functional equations (39-XX) 1 Operator theory (47-XX) 1 Geometry (51-XX) 1 Information and communication theory, circuits (94-XX)

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