Edit Profile Casselman, William A. Compute Distance To: Compute 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 all top 5 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 all top 5 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 all top 5 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) Publications by Year all cited Publications top 5 cited Publications 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 0472.22005Casselman, William; Shalika, J. 113 1980 The unramified principal series of p-adic groups. I: The spherical function. Zbl 0472.22004Casselman, William 89 1980 On some results of Atkin and Lehner. Zbl 0239.10015Casselman, William 89 1973 Canonical extensions of Harish-Chandra modules to representations of \(G\). Zbl 0702.22016Casselman, W. 70 1989 Asymptotic behavior of matrix coefficients of admissible representations. Zbl 0524.22014Casselman, William; Milicic, Dragan 49 1982 Characters and Jacquet modules. Zbl 0337.22019Casselman, William 43 1977 \(L^ 2\)-cohomology of locally symmetric manifolds of finite volume. Zbl 0528.22012Borel, Armand; Casselman, William 32 1983 The \(n\)-cohomology of representations with an infinitesimal character. Zbl 0343.17006Casselman, William; Osborne, M. Scott 28 1975 A new non-unitarity argument for \(p\)-adic representations. Zbl 0519.22011Casselman, William 25 1981 On irreducibility of standard modules for generic representations. Zbl 0947.11022Casselman, William; Shahidi, Freydoon 23 1998 The restriction of admissible representations to \(n\). Zbl 0355.20041Casselman, William; Osborne, M. Scott 21 1978 On a p-adic vanishing theorem of Garland. Zbl 0354.20033Casselman, William 17 1974 Continuous cohomology and a conjecture of Serre’s. Zbl 0297.20060Casselman, William; Wigner, David 17 1974 The restriction of a representation of GL\(_2(k)\) to GL\(_0(0)\). Zbl 0253.20062Casselman, William 17 1973 Jacquet modules for real reductive groups. Zbl 0425.22019Casselman, William 15 1980 Bruhat filtrations and Whittaker vectors for real groups. Zbl 0959.22010Casselman, William; Hecht, Henryk; Miličić, Dragan 13 2000 Introduction to the Schwartz space of \(\Gamma\) \(\backslash G\). Zbl 0723.22010Casselman, W. 13 1989 The Steinberg character as a true character. Zbl 0289.22017Casselman, William 13 1973 Verifying Kottwitz’ conjecture by computer. Zbl 1045.20038Casselman, Bill 9 2000 The difficulties of kissing in three dimensions. Zbl 1168.52304Casselman, Bill 8 2004 The Hasse-Weil \(\zeta\)-function of some moduli varieties of dimension greater than one. Zbl 0415.14011Casselman, William 8 1979 On the representations of SL\(_2(k)\) related to binary quadratic forms. Zbl 0259.22017Casselman, William 8 1972 Computation in Coxeter groups. I: Multiplication. Zbl 0996.20026Casselman, Bill 7 2002 Automata to perform basic calculations in Coxeter groups. Zbl 0839.20054Casselman, W. A. 7 1995 Machine calculations in Weyl groups. Zbl 0829.20058Casselman, William A. 7 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 0403.00003Borel, Armand (ed.); Casselman, William (ed.) 7 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 0612.14018Borel, Armand; Casselman, William 6 1985 On abelian varieties with many endomorphisms and a conjecture of Shimura’s. Zbl 0213.47303Casselman, William 6 1971 Stability of lattices and the partition of arithmetic quotients. Zbl 1086.22007Casselman, Bill 5 2004 Geometric rationality of Satake compactifications. Zbl 0911.14027Casselman, W. A. 5 1997 Jacquet modules and the asymptotic behaviour of matrix coefficients. Zbl 1222.22012Casselman, Bill 4 2011 An assortment of results on representations of \(GL_2(k)\). Zbl 0301.22011Casselman, William 4 1973 Computation in Coxeter groups. II: Constructing minimal roots. Zbl 1166.20029Casselman, Bill 3 2008 Extended automorphic forms on the upper half plane. Zbl 0786.11025Casselman, W. 3 1993 \(L^ 2\)-cohomology for groups of real rank one. Zbl 0528.22011Casselman, William 3 1983 On representations of \(GL_2\) and the arithmetic of modular curves. Zbl 0302.22020Casselman, William 3 1973 Symmetric powers and the Satake transform. Zbl 1423.11097Casselman, Bill 2 2017 Structure constants of Kac-Moody Lie algebras. Zbl 1362.17049Casselman, Bill 2 2014 The construction of Hecke algebras associated to a Coxeter group. Zbl 1228.20005Casselman, Bill 2 2011 Computations in real tori. Zbl 1158.22005Casselman, Bill 2 2008 The \(L\)-group. Zbl 1035.11019Casselman, Bill 2 2001 Introduction to the \(L^ 2\)-cohomology of arithmetic quotients of bounded symmetric domains. Zbl 0669.22004Casselman, William 2 1987 Automorphic forms and a Hodge theory for congruence subgroups of \(SL_ 2({\mathbb{Z}})\). Zbl 0534.32014Casselman, William 2 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 0403.00002Borel, Armand (ed.); Casselman, William (ed.) 2 1979 The spherical Hecke algebra, partition functions, and motivic integration. Zbl 1418.22008Casselman, William; Cely, Jorge E.; Hales, Thomas 1 2019 On Chevalley’s formula for structure constants. Zbl 1362.17012Casselman, Bill 1 2015 Some of my memories of Armand Borel. Zbl 1072.01527Casselman, Bill 1 2004 On the Plancherel measure for the continuous spectrum of the modular group. Zbl 0930.22012Casselman, Bill 1 1999 \(\mathrm{GL}_n\). Zbl 0398.12008Casselman, William 1 1977 The spherical Hecke algebra, partition functions, and motivic integration. Zbl 1418.22008Casselman, William; Cely, Jorge E.; Hales, Thomas 1 2019 Symmetric powers and the Satake transform. Zbl 1423.11097Casselman, Bill 2 2017 On Chevalley’s formula for structure constants. Zbl 1362.17012Casselman, Bill 1 2015 Structure constants of Kac-Moody Lie algebras. Zbl 1362.17049Casselman, Bill 2 2014 Jacquet modules and the asymptotic behaviour of matrix coefficients. Zbl 1222.22012Casselman, Bill 4 2011 The construction of Hecke algebras associated to a Coxeter group. Zbl 1228.20005Casselman, Bill 2 2011 Computation in Coxeter groups. II: Constructing minimal roots. Zbl 1166.20029Casselman, Bill 3 2008 Computations in real tori. Zbl 1158.22005Casselman, Bill 2 2008 The difficulties of kissing in three dimensions. Zbl 1168.52304Casselman, Bill 8 2004 Stability of lattices and the partition of arithmetic quotients. Zbl 1086.22007Casselman, Bill 5 2004 Some of my memories of Armand Borel. Zbl 1072.01527Casselman, Bill 1 2004 Computation in Coxeter groups. I: Multiplication. Zbl 0996.20026Casselman, Bill 7 2002 The \(L\)-group. Zbl 1035.11019Casselman, Bill 2 2001 Bruhat filtrations and Whittaker vectors for real groups. Zbl 0959.22010Casselman, William; Hecht, Henryk; Miličić, Dragan 13 2000 Verifying Kottwitz’ conjecture by computer. Zbl 1045.20038Casselman, Bill 9 2000 On the Plancherel measure for the continuous spectrum of the modular group. Zbl 0930.22012Casselman, Bill 1 1999 On irreducibility of standard modules for generic representations. Zbl 0947.11022Casselman, William; Shahidi, Freydoon 23 1998 Geometric rationality of Satake compactifications. Zbl 0911.14027Casselman, W. A. 5 1997 Automata to perform basic calculations in Coxeter groups. Zbl 0839.20054Casselman, W. A. 7 1995 Machine calculations in Weyl groups. Zbl 0829.20058Casselman, William A. 7 1994 Extended automorphic forms on the upper half plane. Zbl 0786.11025Casselman, W. 3 1993 Canonical extensions of Harish-Chandra modules to representations of \(G\). Zbl 0702.22016Casselman, W. 70 1989 Introduction to the Schwartz space of \(\Gamma\) \(\backslash G\). Zbl 0723.22010Casselman, W. 13 1989 Introduction to the \(L^ 2\)-cohomology of arithmetic quotients of bounded symmetric domains. Zbl 0669.22004Casselman, William 2 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 0612.14018Borel, Armand; Casselman, William 6 1985 Automorphic forms and a Hodge theory for congruence subgroups of \(SL_ 2({\mathbb{Z}})\). Zbl 0534.32014Casselman, William 2 1984 \(L^ 2\)-cohomology of locally symmetric manifolds of finite volume. Zbl 0528.22012Borel, Armand; Casselman, William 32 1983 \(L^ 2\)-cohomology for groups of real rank one. Zbl 0528.22011Casselman, William 3 1983 Asymptotic behavior of matrix coefficients of admissible representations. Zbl 0524.22014Casselman, William; Milicic, Dragan 49 1982 A new non-unitarity argument for \(p\)-adic representations. Zbl 0519.22011Casselman, William 25 1981 The unramified principal series of p-adic groups. II: The Whittaker function. Zbl 0472.22005Casselman, William; Shalika, J. 113 1980 The unramified principal series of p-adic groups. I: The spherical function. Zbl 0472.22004Casselman, William 89 1980 Jacquet modules for real reductive groups. Zbl 0425.22019Casselman, William 15 1980 The Hasse-Weil \(\zeta\)-function of some moduli varieties of dimension greater than one. Zbl 0415.14011Casselman, William 8 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 0403.00003Borel, Armand (ed.); Casselman, William (ed.) 7 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 0403.00002Borel, Armand (ed.); Casselman, William (ed.) 2 1979 The restriction of admissible representations to \(n\). Zbl 0355.20041Casselman, William; Osborne, M. Scott 21 1978 Characters and Jacquet modules. Zbl 0337.22019Casselman, William 43 1977 \(\mathrm{GL}_n\). Zbl 0398.12008Casselman, William 1 1977 The \(n\)-cohomology of representations with an infinitesimal character. Zbl 0343.17006Casselman, William; Osborne, M. Scott 28 1975 On a p-adic vanishing theorem of Garland. Zbl 0354.20033Casselman, William 17 1974 Continuous cohomology and a conjecture of Serre’s. Zbl 0297.20060Casselman, William; Wigner, David 17 1974 On some results of Atkin and Lehner. Zbl 0239.10015Casselman, William 89 1973 The restriction of a representation of GL\(_2(k)\) to GL\(_0(0)\). Zbl 0253.20062Casselman, William 17 1973 The Steinberg character as a true character. Zbl 0289.22017Casselman, William 13 1973 An assortment of results on representations of \(GL_2(k)\). Zbl 0301.22011Casselman, William 4 1973 On representations of \(GL_2\) and the arithmetic of modular curves. Zbl 0302.22020Casselman, William 3 1973 On the representations of SL\(_2(k)\) related to binary quadratic forms. Zbl 0259.22017Casselman, William 8 1972 On abelian varieties with many endomorphisms and a conjecture of Shimura’s. Zbl 0213.47303Casselman, William 6 1971 all cited Publications top 5 cited Publications all top 5 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 all top 5 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 all top 5 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) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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