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Gross, Kenneth Irwin (b. 1938 d. 2017)

Author ID: gross.kenneth-i Recent zbMATH articles by "Gross, Kenneth Irwin"
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

Publications by Year

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
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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

Citations by Year

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