Edit Profile (opens in new tab) Gross, Kenneth Irwin (b. 1938 d. 2017) Co-Author Distance Author ID: gross.kenneth-i Published as: Gross, Kenneth I.; Gross, K. I. Homepage: https://www.uvm.edu/cems/mathstat/profiles/kenneth_i_gross External Links: MGP · Wikidata · GND · IdRef Documents Indexed: 34 Publications since 1962 3 Contributions as Editor Co-Authors: 18 Co-Authors with 29 Joint Publications 460 Co-Co-Authors all top 5 Co-Authors 8 single-authored 14 Kunze, Ray Alden 12 Richards, Donald St. P. 4 Ding, Hongming 3 Holman, Wayne J. III 1 Adler, Jeffrey D. 1 Boller, John 1 DeBacker, Stephen 1 Ewing, Richard Edward 1 Herb, Rebecca A. 1 Herrmann, Diane L. 1 Howe, Roger Evans 1 Kutzko, Philip C. 1 Leingang, Matthew 1 Malyala, Raja 1 Martin, Clyde Franklin 1 Moy, Allen 1 Sally, Paul J. jun. 1 Spice, Loren 1 Ton-That, Tuong 1 Vogan, David Alexander jun. 1 Wilson, Edward N. 1 Winarsky, Norman all top 5 Serials 3 Journal of Approximation Theory 3 Journal für die Reine und Angewandte Mathematik 3 Transactions of the American Mathematical Society 2 American Journal of Mathematics 2 Journal of Functional Analysis 2 Notices of the American Mathematical Society 2 Bulletin of the American Mathematical Society 1 American Mathematical Monthly 1 Journal of Multivariate Analysis 1 Journal of Statistical Planning and Inference 1 Pacific Journal of Mathematics 1 Bulletin of the American Mathematical Society. New Series 1 Journal of the London Mathematical Society 1 Journal of Mathematics and Physics 1 Contemporary Mathematics all top 5 Fields 20 Topological groups, Lie groups (22-XX) 18 Abstract harmonic analysis (43-XX) 17 Special functions (33-XX) 6 Several complex variables and analytic spaces (32-XX) 4 Functional analysis (46-XX) 3 General and overarching topics; collections (00-XX) 3 History and biography (01-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Probability theory and stochastic processes (60-XX) 2 Group theory and generalizations (20-XX) 2 Integral transforms, operational calculus (44-XX) 2 Manifolds and cell complexes (57-XX) 2 Statistics (62-XX) 1 Nonassociative rings and algebras (17-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Ordinary differential equations (34-XX) 1 Partial differential equations (35-XX) 1 Numerical analysis (65-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 24 Publications have been cited 212 times in 164 Documents Cited by ▼ Year ▼ Special functions of matrix argument. I: Algebraic induction, zonal polynomials, and hypergeometric functions. Zbl 0626.33010 Gross, Kenneth I.; Richards, Donald St. P. 43 1987 Total positivity, spherical series, and hypergeometric functions of matrix argument. Zbl 0692.33010 Gross, Kenneth I.; Richards, Donald St. P. 31 1989 Bessel functions and representation theory. II: Holomorphic discrete series and metaplectic representations. Zbl 0361.22007 Gross, Kenneth I.; Kunze, Ray A. 18 1977 Bessel functions and representation theory. I. Zbl 0322.43014 Gross, Kenneth I.; Kunze, Ray A. 17 1976 The dual of a parabolic subgroup and a degenerate principal series of Sp(n,C). Zbl 0229.22025 Gross, Kenneth I. 11 1971 Fourier decompositions of certain representations. Zbl 0268.43010 Gross, K. I.; Kunze, R. A. 11 1972 Finite-dimensional induction and new results on invariants for classical groups. I. Zbl 0567.22007 Gross, Kenneth I.; Kunze, Ray A. 10 1984 Hypergeometric functions on complex matrix space. Zbl 0731.33015 Gross, Kenneth I.; Richards, Donald St. P. 9 1991 Fourier Bessel transforms and holomorphic discrete series. Zbl 0242.22015 Gross, Kenneth I.; Kunze, Ray A. 8 1972 Operator-valued Bessel functions on Jordan algebras. Zbl 0769.33015 Ding, Hongming; Gross, Kenneth I. 8 1993 Ramanujan’s master theorem for symmetric cones. Zbl 0880.33013 Ding, Hongming; Gross, Kenneth I.; Richards, Donald St. 8 1996 On the evolution of noncommutative harmonic analysis. Zbl 0396.43001 Gross, Kenneth I. 6 1978 The \(N\)-widths of spaces of holomorphic functions on bounded symmetric domains of tube type. Zbl 0958.32021 Ding, Hongming; Gross, Kenneth I.; Richards, Donald St. P. 5 2000 The generalized gamma function, new Hardy spaces, and representations of holomorphic type for the conformal group. Zbl 0349.22007 Gross, Kenneth I.; Holman, Wayne J.; Kunze, Ray A. 5 1977 Total positivity, finite reflection groups, and a formula of Harish- Chandra. Zbl 0830.33011 Gross, Kenneth I.; Richards, Donald St. P. 4 1995 Algebraic methods toward higher-order probability inequalities. Zbl 1040.60501 Gross, Kenneth I.; Richards, Donald St. P. 4 1998 Matrix-valued special functions and representation theory of the conformal group. I: The generalized gamma function. Zbl 0427.22008 Gross, Kenneth I.; Holman, Wayne J. 3 1980 Constant term identities and hypergeometric functions on spaces of Hermitian matrices. Zbl 0767.33010 Gross, Kenneth I.; Richards, Donald St. P. 3 1993 Restriction to a parabolic subgroup and irreducibility of degenerate principal series of \(Sp(2,C)\). Zbl 0204.14004 Gross, K. I. 3 1970 Bessel functions on boundary orbits and singular holomorphic representations. Zbl 0958.22006 Ding, Hongming; Gross, Kenneth I.; Kunze, Ray A.; Richards, Donald St. P. 1 2000 Total positivity, harmonic analysis and random walks on Weyl chambers. Zbl 0834.33011 Richards, Donald St. P.; Gross, Kenneth I. 1 1995 The Plancherel transform on the nilpotent part of \(G_ 2\) and some applications to the representation theory of \(G_ 2\). Zbl 0162.18901 Gross, K. I. 1 1968 Generalized Bessel transforms and unitary representations. Zbl 0289.22014 Gross, Kenneth I.; Kunze, Ray A. 1 1973 Finite dimensional induction. II: General reciprocity theorems. Zbl 0584.20030 Gross, Kenneth I.; Kunze, Ray A. 1 1986 The \(N\)-widths of spaces of holomorphic functions on bounded symmetric domains of tube type. Zbl 0958.32021 Ding, Hongming; Gross, Kenneth I.; Richards, Donald St. P. 5 2000 Bessel functions on boundary orbits and singular holomorphic representations. Zbl 0958.22006 Ding, Hongming; Gross, Kenneth I.; Kunze, Ray A.; Richards, Donald St. P. 1 2000 Algebraic methods toward higher-order probability inequalities. Zbl 1040.60501 Gross, Kenneth I.; Richards, Donald St. P. 4 1998 Ramanujan’s master theorem for symmetric cones. Zbl 0880.33013 Ding, Hongming; Gross, Kenneth I.; Richards, Donald St. 8 1996 Total positivity, finite reflection groups, and a formula of Harish- Chandra. Zbl 0830.33011 Gross, Kenneth I.; Richards, Donald St. P. 4 1995 Total positivity, harmonic analysis and random walks on Weyl chambers. Zbl 0834.33011 Richards, Donald St. P.; Gross, Kenneth I. 1 1995 Operator-valued Bessel functions on Jordan algebras. Zbl 0769.33015 Ding, Hongming; Gross, Kenneth I. 8 1993 Constant term identities and hypergeometric functions on spaces of Hermitian matrices. Zbl 0767.33010 Gross, Kenneth I.; Richards, Donald St. P. 3 1993 Hypergeometric functions on complex matrix space. Zbl 0731.33015 Gross, Kenneth I.; Richards, Donald St. P. 9 1991 Total positivity, spherical series, and hypergeometric functions of matrix argument. Zbl 0692.33010 Gross, Kenneth I.; Richards, Donald St. P. 31 1989 Special functions of matrix argument. I: Algebraic induction, zonal polynomials, and hypergeometric functions. Zbl 0626.33010 Gross, Kenneth I.; Richards, Donald St. P. 43 1987 Finite dimensional induction. II: General reciprocity theorems. Zbl 0584.20030 Gross, Kenneth I.; Kunze, Ray A. 1 1986 Finite-dimensional induction and new results on invariants for classical groups. I. Zbl 0567.22007 Gross, Kenneth I.; Kunze, Ray A. 10 1984 Matrix-valued special functions and representation theory of the conformal group. I: The generalized gamma function. Zbl 0427.22008 Gross, Kenneth I.; Holman, Wayne J. 3 1980 On the evolution of noncommutative harmonic analysis. Zbl 0396.43001 Gross, Kenneth I. 6 1978 Bessel functions and representation theory. II: Holomorphic discrete series and metaplectic representations. Zbl 0361.22007 Gross, Kenneth I.; Kunze, Ray A. 18 1977 The generalized gamma function, new Hardy spaces, and representations of holomorphic type for the conformal group. Zbl 0349.22007 Gross, Kenneth I.; Holman, Wayne J.; Kunze, Ray A. 5 1977 Bessel functions and representation theory. I. Zbl 0322.43014 Gross, Kenneth I.; Kunze, Ray A. 17 1976 Generalized Bessel transforms and unitary representations. Zbl 0289.22014 Gross, Kenneth I.; Kunze, Ray A. 1 1973 Fourier decompositions of certain representations. Zbl 0268.43010 Gross, K. I.; Kunze, R. A. 11 1972 Fourier Bessel transforms and holomorphic discrete series. Zbl 0242.22015 Gross, Kenneth I.; Kunze, Ray A. 8 1972 The dual of a parabolic subgroup and a degenerate principal series of Sp(n,C). Zbl 0229.22025 Gross, Kenneth I. 11 1971 Restriction to a parabolic subgroup and irreducibility of degenerate principal series of \(Sp(2,C)\). Zbl 0204.14004 Gross, K. I. 3 1970 The Plancherel transform on the nilpotent part of \(G_ 2\) and some applications to the representation theory of \(G_ 2\). Zbl 0162.18901 Gross, K. I. 1 1968 all cited Publications top 5 cited Publications all top 5 Cited by 178 Authors 18 Richards, Donald St. P. 10 Ding, Hongming 7 Gross, Kenneth Irwin 5 Howe, Roger Evans 5 Jakobsen, Hans Plesner 4 Díaz-García, José Antonio 4 Orlov, Aleksandr Yu. 4 Smith, Peter Jeffry 4 Vergne, Michèle 3 Bekker, Andriëtte 3 Frahm, Jan 3 Gao, Hongsheng 3 Gelbart, Stephen S. 3 Gutiérrez-Jáimez, Ramón 3 Harnad, John 3 Kieburg, Mario 3 Ólafsson, Gestur 3 Rösler, Margit 3 Uhler, Caroline 3 Voit, Michael 2 Dharmawansa, Prathapasinghe 2 Dou, Xiaoling 2 Edelman, Alan Stuart 2 Ehler, Martin 2 Ferreira, Johannes T. 2 Gneiting, Tilmann 2 Gräf, Manuel 2 Klink, William H. 2 Koev, Plamen 2 Kösters, Holger 2 Kunze, Ray Alden 2 Kuriki, Satoshi 2 Lin, Gwo Dong 2 Liu, Dangzheng 2 Lu, I-Li 2 Matumoto, Hisayosi 2 McKay, Matthew R. 2 Nomura, Takaaki 2 Pasquale, Angela 2 Rossi, Hugo 2 Schwarz, Benjamin 2 Speh, Birgit 2 Tan, Eng-Chye 2 Thangavelu, Sundaram 2 Ton-That, Tuong 2 Turski, Jacek 2 Unterberger, André 2 Zhelobenko, Dmitry Petrovich 2 Zhu, Chen-Bo 1 Adams, Jeffrey David 1 Arashi, Mohammad 1 Assiotis, Theodoros 1 Ayadi, Sihem 1 Ayed, Sabria Ben 1 Azaouzi, Salma 1 Bagyan, Armine 1 Baklouti, Ali 1 Balderrama, Cristina 1 Banerjee, Arunava 1 Bansal, Naveen K. 1 Ben Saïd, Salem 1 Bertola, Marco 1 Bertram, Wolfgang 1 Bhandary, Madhusudan 1 Biane, Philippe 1 Binegar, Birne 1 Bingham, Christopher 1 Binz, Ernst 1 Bodmann, Bernhard G. 1 Bougerol, Philippe 1 Brennecken, Dominik 1 Butler, Ronald W. 1 Caro-Lopera, Francisco José 1 Chan, Cy P. 1 Chang, Theodore 1 Chattopadhyay, Arup 1 Chen, Yang 1 Chirikjian, Gregory S. 1 Choi, Junesang 1 Chu, Wenchang 1 Clare, Pierre 1 Constales, Denis 1 Demni, Nizar 1 Dreier, Ilona 1 Drensky, Vesselin 1 Dueck, Johannes 1 Duflo, Michel 1 Edelmann, Dominic 1 Ehm, Werner 1 El Karoui, Noureddine 1 Elliott, David L. 1 Faraut, Jacques 1 Farkov, Yuriĭ Anatol’evich 1 Feng, Zhiming 1 Förster, Yanik-Pascal 1 Fujita, Etsuro 1 Fyodorov, Yan V. 1 Garth, Lee M. 1 Graczyk, Piotr 1 Guay-Paquet, Mathieu ...and 78 more Authors all top 5 Cited in 74 Serials 19 Journal of Functional Analysis 14 Journal of Multivariate Analysis 10 Transactions of the American Mathematical Society 6 Journal of Mathematical Analysis and Applications 4 Inventiones Mathematicae 4 Journal of Approximation Theory 4 Journal of Theoretical Probability 3 Communications in Mathematical Physics 3 Journal of Mathematical Physics 3 Advances in Mathematics 3 Duke Mathematical Journal 3 Proceedings of the American Mathematical Society 3 Acta Applicandae Mathematicae 3 Constructive Approximation 3 Linear Algebra and its Applications 3 Bulletin of the American Mathematical Society. New Series 3 Bernoulli 3 The Journal of Fourier Analysis and Applications 2 Journal of Statistical Physics 2 Theoretical and Mathematical Physics 2 Annals of the Institute of Statistical Mathematics 2 The Annals of Probability 2 Compositio Mathematica 2 Journal of Computational and Applied Mathematics 2 Journal of Differential Equations 2 Journal of Soviet Mathematics 2 Mathematische Nachrichten 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Analysis and Applications (Singapore) 2 Sankhyā. Series A 1 Communications in Algebra 1 Israel Journal of Mathematics 1 Journal of Mathematical Biology 1 Mathematical Notes 1 Nuclear Physics. B 1 Mathematics of Computation 1 Acta Mathematica 1 The Annals of Statistics 1 Bulletin de la Société Mathématique de France 1 International Journal of Mathematics and Mathematical Sciences 1 Integral Equations and Operator Theory 1 Journal of Applied Probability 1 Journal of Combinatorial Theory. Series A 1 Journal of Statistical Planning and Inference 1 Memoirs of the American Mathematical Society 1 Pacific Journal of Mathematics 1 Proceedings of the Japan Academy. Series A 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Tôhoku Mathematical Journal. Second Series 1 Advances in Applied Mathematics 1 Statistics & Probability Letters 1 Discrete & Computational Geometry 1 Journal of the American Mathematical Society 1 International Journal of Mathematics 1 Pattern Recognition 1 Proceedings of the National Academy of Sciences of the United States of America 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Annales de l’Institut Henri Poincaré. Physique Théorique 1 Journal of Algebraic Combinatorics 1 Journal of Mathematical Sciences (New York) 1 Advances in Applied Clifford Algebras 1 Bulletin des Sciences Mathématiques 1 Integral Transforms and Special Functions 1 Representation Theory 1 The Ramanujan Journal 1 Mathematical Physics, Analysis and Geometry 1 Probability in the Engineering and Informational Sciences 1 Bulletin of the American Mathematical Society 1 Mathematics in Computer Science 1 Journal of Physics A: Mathematical and Theoretical 1 Kyoto Journal of Mathematics 1 Random Matrices: Theory and Applications 1 Bayesian Analysis 1 Journal of Statistical Distributions and Applications all top 5 Cited in 34 Fields 59 Topological groups, Lie groups (22-XX) 50 Special functions (33-XX) 43 Abstract harmonic analysis (43-XX) 33 Statistics (62-XX) 30 Probability theory and stochastic processes (60-XX) 29 Linear and multilinear algebra; matrix theory (15-XX) 14 Group theory and generalizations (20-XX) 14 Several complex variables and analytic spaces (32-XX) 10 Combinatorics (05-XX) 10 Nonassociative rings and algebras (17-XX) 10 Quantum theory (81-XX) 7 Algebraic geometry (14-XX) 6 Partial differential equations (35-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 6 Integral transforms, operational calculus (44-XX) 6 Functional analysis (46-XX) 5 Number theory (11-XX) 5 Dynamical systems and ergodic theory (37-XX) 5 Approximations and expansions (41-XX) 5 Differential geometry (53-XX) 5 Numerical analysis (65-XX) 4 Operator theory (47-XX) 3 Functions of a complex variable (30-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Statistical mechanics, structure of matter (82-XX) 3 Information and communication theory, circuits (94-XX) 2 Computer science (68-XX) 2 Geophysics (86-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Field theory and polynomials (12-XX) 1 Convex and discrete geometry (52-XX) 1 Relativity and gravitational theory (83-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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