Edit Profile (opens in new tab) Sahi, Siddhartha Co-Author Distance Author ID: sahi.siddhartha.1 Published as: Sahi, Siddhartha; Sahi, Siddharta Homepage: http://sites.math.rutgers.edu/~sahi/ External Links: MGP Documents Indexed: 82 Publications since 1989, including 1 Book and 12 Additional arXiv Preprints 2 Contributions as Editor Co-Authors: 30 Co-Authors with 48 Joint Publications 630 Co-Co-Authors all top 5 Co-Authors 24 single-authored 17 Gourevitch, Dmitry 8 Salmasian, Hadi 5 Dvorsky, Alexander 4 Andler, Martin 3 Gustafsson, Henrik P. A. 3 Kleinschmidt, Axel 3 Letzter, Gail 3 Persson, Daniel 3 Sayag, Eitan 3 Serganova, Vera V. 3 Stokman, Jasper V. 3 Zhang, Genkai 2 Aizenbud, Avraham 2 Ion, Bogdan 2 Khare, Apoorva 2 Knop, Friedrich 2 Kostant, Bertram 2 Naqvi, Yusra 2 Speh, Birgit 2 Venkateswaran, Vidya 1 Adams, Jeffrey David 1 Alesker, Semyon 1 Alldridge, Alexander 1 Armentano, Diego 1 Back, Allen 1 Barbasch, Dan M. 1 Bernstein, Joseph 1 Chinta, Gautam 1 Flake, Johannes 1 Kuznetsov, Vadim Borisovich 1 Lian, Bong H. 1 Lieb, Elliott Hershel 1 Miller, Stephen D. 1 Offen, Omer 1 Ørsted, Bent 1 Reif, Shifra 1 Sergel, Emily 1 Shub, Michael 1 Stein, Elias Menachem 1 Torossian, Charles 1 Zhu, Songhao all top 5 Serials 8 IMRN. International Mathematics Research Notices 5 Inventiones Mathematicae 3 Compositio Mathematica 3 Selecta Mathematica. New Series 2 Israel Journal of Mathematics 2 Advances in Mathematics 2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 2 Duke Mathematical Journal 2 Journal of Functional Analysis 2 Mathematische Zeitschrift 2 Proceedings of the American Mathematical Society 2 European Journal of Combinatorics 2 Journal of Lie Theory 2 Transformation Groups 2 Representation Theory 2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 2 Contemporary Mathematics 1 Journal of Mathematical Physics 1 Letters in Mathematical Physics 1 American Journal of Mathematics 1 Annales de l’Institut Fourier 1 Canadian Journal of Mathematics 1 Journal of Number Theory 1 Journal für die Reine und Angewandte Mathematik 1 Memoirs of the American Mathematical Society 1 Combinatorica 1 Journal of Theoretical Probability 1 Linear Algebra and its Applications 1 Mathematical Research Letters 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 Annals of Combinatorics 1 Annals of Mathematics. Second Series 1 Communications in Contemporary Mathematics 1 Pure and Applied Mathematics Quarterly 1 Journal of Combinatorics all top 5 Fields 39 Topological groups, Lie groups (22-XX) 25 Nonassociative rings and algebras (17-XX) 20 Combinatorics (05-XX) 20 Special functions (33-XX) 18 Group theory and generalizations (20-XX) 9 Abstract harmonic analysis (43-XX) 7 Number theory (11-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Differential geometry (53-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Probability theory and stochastic processes (60-XX) 2 General and overarching topics; collections (00-XX) 2 Algebraic geometry (14-XX) 2 Associative rings and algebras (16-XX) 2 Real functions (26-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 Manifolds and cell complexes (57-XX) 1 Quantum theory (81-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 66 Publications have been cited 731 times in 416 Documents Cited by ▼ Year ▼ A recursion and a combinatorial formula for Jack polynomials. Zbl 0870.05076 Knop, Friedrich; Sahi, Siddhartha 78 1997 Nonsymmetric Koornwinder polynomials and duality. Zbl 0941.33013 Sahi, Siddhartha 73 1999 Interpolation, integrality, and a generalization of Macdonald’s polynomials. Zbl 0861.05063 Sahi, Siddhartha 47 1996 Difference equations and symmetric polynomials defined by their zeros. Zbl 0880.43014 Knop, Friedrich; Sahi, Siddhartha 33 1996 Jordan algebras and degenerate principal series. Zbl 0822.22006 Sahi, Siddhartha 31 1995 The Capelli identity, tube domains, and the generalized Laplace transform. Zbl 0748.22008 Kostant, Bertram; Sahi, Siddhartha 31 1991 The spectrum of certain invariant differential operators associated to a Hermitian symmetric space. Zbl 0851.22010 Sahi, Siddhartha 28 1994 Unitary representations on the Shilov boundary of a symmetric tube domain. Zbl 0790.22010 Sahi, Siddhartha 24 1993 Generalized and degenerate Whittaker models. Zbl 1384.20039 Gomez, Raul; Gourevitch, Dmitry; Sahi, Siddhartha 22 2017 Jordan algebras and Capelli identities. Zbl 0999.17043 Kostant, Bertram; Sahi, Siddhartha 21 1993 Explicit Hilbert spaces for certain unipotent representations. II. Zbl 0937.22006 Dvorsky, Alexander; Sahi, Siddhartha 20 1999 Explicit Hilbert spaces for certain unipotent representations. Zbl 0779.22006 Sahi, Siddhartha 19 1992 A new scalar product for nonsymmetric Jack polynomials. Zbl 0885.33006 Sahi, Siddhartha 15 1996 Kontsevich quantization and invariant distributions on Lie groups. Zbl 1009.22020 Andler, Martin; Dvorsky, Alexander; Sahi, Siddhartha 14 2002 Convolution of invariant distributions: proof of the Kashiwara-Vergne conjecture. Zbl 1059.22008 Andler, Martin; Sahi, Siddhartha; Torossian, Charles 14 2004 Analysis in matrix space and Speh’s representations. Zbl 0728.22010 Sahi, Siddhartha; Stein, Elias M. 13 1990 Degenerate Whittaker functionals for real reductive groups. Zbl 1315.22018 Gourevitch, Dmitry; Sahi, Siddhartha 13 2015 Fourier coefficients of automorphic forms, character variety orbits, and small representations. Zbl 1272.11062 Miller, Stephen D.; Sahi, Siddhartha 12 2012 On Kirillov’s conjecture for Archimedean fields. Zbl 0693.22006 Sahi, Siddhartha 12 1989 Whittaker supports for representations of reductive groups. (Supports de Whittaker pour les représentations des groupes réductifs.) Zbl 07362103 Gomez, Raul; Gourevitch, Dmitry; Sahi, Siddhartha 12 2021 Some properties of Koornwinder polynomials. Zbl 0959.33008 Sahi, Siddhartha 11 2000 Derivatives for smooth representations of \(\mathrm{GL}(n, \mathbb R)\) and \(\mathrm{GL}(n, \mathbb C)\). Zbl 1317.22008 Aizenbud, Avraham; Gourevitch, Dmitry; Sahi, Siddhartha 11 2015 A new formula for weight multiplicities and characters. Zbl 0953.17003 Sahi, Siddhartha 10 2000 The Capelli identity and unitary representations. Zbl 0758.22008 Sahi, Siddhartha 10 1992 Twisted homology for the mirabolic nilradical. Zbl 1311.22020 Aizenbud, Avraham; Gourevitch, Dmitry; Sahi, Siddhartha 9 2015 Annihilator varieties, adduced representations, Whittaker functionals, and rank for unitary representations of \(GL(n)\). Zbl 1270.22007 Gourevitch, Dmitry; Sahi, Siddhartha 9 2013 The Capelli eigenvalue problem for Lie superalgebras. Zbl 1452.17013 Sahi, Siddhartha; Salmasian, Hadi; Serganova, Vera 9 2020 The Capelli problem for \(\mathfrak{gl}(m|n)\) and the spectrum of invariant differential operators. Zbl 1347.17005 Sahi, Siddhartha; Salmasian, Hadi 8 2016 Deformation quantization and invariant distributions. Zbl 0957.22022 Andler, Martin; Dvorsky, Alexander; Sahi, Siddhartha 8 2000 The binomial formula for nonsymmetric Macdonald polynomials. Zbl 0947.33012 Sahi, Siddhartha 7 1998 A simple construction of Stein’s complementary series representations. Zbl 0714.22013 Sahi, Siddhartha 7 1990 Explicit Hilbert spaces for certain unipotent representations. III. Zbl 1029.22021 Dvorsky, Alexander; Sahi, Siddhartha 7 2003 Generalized and degenerate Whittaker quotients and Fourier coefficients. Zbl 1469.20046 Gourevitch, Dmitry; Sahi, Siddhartha 7 2019 Existence of Klyachko models for \(\mathrm{GL}(n,\mathbb R)\) and \(\mathrm{GL}(n,\mathbb C)\). Zbl 1239.22010 Gourevitch, Dmitry; Offen, Omer; Sahi, Siddhartha; Sayag, Eitan 6 2012 Invariant functionals on Speh representations. Zbl 1335.22015 Gourevitch, Dmitry; Sahi, Siddhartha; Sayag, Eitan 5 2015 Schur \(Q\)-functions and the Capelli eigenvalue problem for the Lie superalgebra \(\mathfrak q(n)\). Zbl 1452.17010 Alldridge, Alexander; Sahi, Siddhartha; Salmasian, Hadi 5 2018 Triple groups and Cherednik algebras. Zbl 1158.20002 Ion, Bogdan; Sahi, Siddhartha 5 2006 Raising and lowering operators for Askey-Wilson polynomials. Zbl 1134.33015 Sahi, Siddhartha 5 2007 Tensor products of singular representations and an extension of the \(\theta\)-correspondence. Zbl 0963.22008 Dvorsky, Alexander; Sahi, Siddhartha 4 1998 Jack, Hall-Littlewood and Macdonald polynomials. Workshop on Jack, Hall-Littlewood and Macdonald polynomials, ICMS, Edinburgh, UK, September 23–26, 2003. Zbl 1102.33001 4 2006 On an analytic description of the \(\alpha\)-cosine transform on real Grassmannians. Zbl 1335.22020 Alesker, Semyon; Gourevitch, Dmitry; Sahi, Siddhartha 4 2016 Analytic continuation of equivariant distributions. Zbl 1473.22011 Gourevitch, Dmitry; Sahi, Siddhartha; Sayag, Eitan 4 2019 Biorthogonal expansion of non-symmetric Jack functions. Zbl 1150.33004 Sahi, Siddhartha; Zhang, Genkai 4 2007 Higher correlation inequalities. Zbl 1174.05011 Sahi, Siddhartha 4 2008 Eulerianity of Fourier coefficients of automorphic forms. Zbl 1482.11071 Gourevitch, Dmitry; Gustafsson, Henrik P. A.; Kleinschmidt, Axel; Persson, Daniel; Sahi, Siddhartha 4 2021 Positivity of Shimura operators. Zbl 1469.11122 Sahi, Siddhartha; Zhang, Genkai 3 2019 Degenerate series representations for GL(2n,\({\mathbb{R}})\) and Fourier analysis. Zbl 0715.22009 Barbasch, Dan; Sahi, Siddhartha; Speh, Birgit 3 1989 The Capelli identity and Radon transform for Grassmannians. Zbl 1405.22018 Sahi, Siddhartha; Zhang, Genkai 3 2017 Fourier coefficients of minimal and next-to-minimal automorphic representations of simply-laced groups. Zbl 1489.11065 Gourevitch, Dmitry; Gustafsson, Henrik P. A.; Kleinschmidt, Axel; Persson, Daniel; Sahi, Siddhartha 3 2022 A note on the resolvent of a nonnegative matrix and its applications. Zbl 1192.15015 Sahi, Siddhartha 3 2010 Intertwining operators between line bundles on Grassmannians. Zbl 1283.22013 Gourevitch, Dmitry; Sahi, Siddhartha 2 2013 Harmonic vectors and matrix tree theorems. Zbl 1306.05011 Sahi, Siddhartha 2 2014 Logarithmic convexity of Perron-Frobenius eigenvectors of positive matrices. Zbl 0784.15013 Sahi, Siddhartha 2 1993 Binomial coefficients and Littlewood-Richardson coefficients for Jack polynomials. Zbl 1232.05241 Sahi, Siddhartha 2 2011 Quadratic Capelli operators and Okounkov polynomials. Zbl 1429.05201 Sahi, Siddharta; Salmasian, Hadi 2 2019 The FKG inequality for partially ordered algebras. Zbl 1144.82016 Sahi, Siddhartha 2 2008 Metaplectic representations of Hecke algebras, Weyl group actions, and associated polynomials. Zbl 1511.20025 Sahi, Siddhartha; Stokman, Jasper V.; Venkateswaran, Vidya 2 2021 Binomial coefficients and Littlewood-Richardson coefficients for interpolation polynomials and Macdonald polynomials. Zbl 1236.33036 Sahi, Siddhartha 1 2011 The Capelli identity for Grassmann manifolds. Zbl 1271.22011 Sahi, Siddhartha 1 2013 Correlation inequalities for partially ordered algebras. Zbl 1177.06025 Sahi, Siddhartha 1 2009 Hopf-Hecke algebras, infinitesimal Cherednik algebras, and Dirac cohomology. Zbl 1484.16034 Flake, Johannes; Sahi, Siddhartha 1 2021 Capelli operators for spherical superharmonics and the Dougall-Ramanujan identity. Zbl 1503.17025 Sahi, Siddhartha; Salmasian, Hadi; Serganova, Vera 1 2022 Double affine Hecke algebras and congruence groups. Zbl 1490.20001 Ion, Bogdan; Sahi, Siddhartha 1 2020 On the extension of the FKG inequality to \(n\) functions. Zbl 1507.06014 Lieb, Elliott H.; Sahi, Siddhartha 1 2022 From Cauchy’s determinant formula to bosonic and fermionic immanant identities. Zbl 1512.05393 Khare, Apoorva; Sahi, Siddhartha 1 2023 Some remarks on non-symmetric interpolation Macdonald polynomials. Zbl 1493.05289 Sahi, Siddhartha; Stokman, Jasper 1 2021 From Cauchy’s determinant formula to bosonic and fermionic immanant identities. Zbl 1512.05393 Khare, Apoorva; Sahi, Siddhartha 1 2023 Fourier coefficients of minimal and next-to-minimal automorphic representations of simply-laced groups. Zbl 1489.11065 Gourevitch, Dmitry; Gustafsson, Henrik P. A.; Kleinschmidt, Axel; Persson, Daniel; Sahi, Siddhartha 3 2022 Capelli operators for spherical superharmonics and the Dougall-Ramanujan identity. Zbl 1503.17025 Sahi, Siddhartha; Salmasian, Hadi; Serganova, Vera 1 2022 On the extension of the FKG inequality to \(n\) functions. Zbl 1507.06014 Lieb, Elliott H.; Sahi, Siddhartha 1 2022 Whittaker supports for representations of reductive groups. (Supports de Whittaker pour les représentations des groupes réductifs.) Zbl 07362103 Gomez, Raul; Gourevitch, Dmitry; Sahi, Siddhartha 12 2021 Eulerianity of Fourier coefficients of automorphic forms. Zbl 1482.11071 Gourevitch, Dmitry; Gustafsson, Henrik P. A.; Kleinschmidt, Axel; Persson, Daniel; Sahi, Siddhartha 4 2021 Metaplectic representations of Hecke algebras, Weyl group actions, and associated polynomials. Zbl 1511.20025 Sahi, Siddhartha; Stokman, Jasper V.; Venkateswaran, Vidya 2 2021 Hopf-Hecke algebras, infinitesimal Cherednik algebras, and Dirac cohomology. Zbl 1484.16034 Flake, Johannes; Sahi, Siddhartha 1 2021 Some remarks on non-symmetric interpolation Macdonald polynomials. Zbl 1493.05289 Sahi, Siddhartha; Stokman, Jasper 1 2021 The Capelli eigenvalue problem for Lie superalgebras. Zbl 1452.17013 Sahi, Siddhartha; Salmasian, Hadi; Serganova, Vera 9 2020 Double affine Hecke algebras and congruence groups. Zbl 1490.20001 Ion, Bogdan; Sahi, Siddhartha 1 2020 Generalized and degenerate Whittaker quotients and Fourier coefficients. Zbl 1469.20046 Gourevitch, Dmitry; Sahi, Siddhartha 7 2019 Analytic continuation of equivariant distributions. Zbl 1473.22011 Gourevitch, Dmitry; Sahi, Siddhartha; Sayag, Eitan 4 2019 Positivity of Shimura operators. Zbl 1469.11122 Sahi, Siddhartha; Zhang, Genkai 3 2019 Quadratic Capelli operators and Okounkov polynomials. Zbl 1429.05201 Sahi, Siddharta; Salmasian, Hadi 2 2019 Schur \(Q\)-functions and the Capelli eigenvalue problem for the Lie superalgebra \(\mathfrak q(n)\). Zbl 1452.17010 Alldridge, Alexander; Sahi, Siddhartha; Salmasian, Hadi 5 2018 Generalized and degenerate Whittaker models. Zbl 1384.20039 Gomez, Raul; Gourevitch, Dmitry; Sahi, Siddhartha 22 2017 The Capelli identity and Radon transform for Grassmannians. Zbl 1405.22018 Sahi, Siddhartha; Zhang, Genkai 3 2017 The Capelli problem for \(\mathfrak{gl}(m|n)\) and the spectrum of invariant differential operators. Zbl 1347.17005 Sahi, Siddhartha; Salmasian, Hadi 8 2016 On an analytic description of the \(\alpha\)-cosine transform on real Grassmannians. Zbl 1335.22020 Alesker, Semyon; Gourevitch, Dmitry; Sahi, Siddhartha 4 2016 Degenerate Whittaker functionals for real reductive groups. Zbl 1315.22018 Gourevitch, Dmitry; Sahi, Siddhartha 13 2015 Derivatives for smooth representations of \(\mathrm{GL}(n, \mathbb R)\) and \(\mathrm{GL}(n, \mathbb C)\). Zbl 1317.22008 Aizenbud, Avraham; Gourevitch, Dmitry; Sahi, Siddhartha 11 2015 Twisted homology for the mirabolic nilradical. Zbl 1311.22020 Aizenbud, Avraham; Gourevitch, Dmitry; Sahi, Siddhartha 9 2015 Invariant functionals on Speh representations. Zbl 1335.22015 Gourevitch, Dmitry; Sahi, Siddhartha; Sayag, Eitan 5 2015 Harmonic vectors and matrix tree theorems. Zbl 1306.05011 Sahi, Siddhartha 2 2014 Annihilator varieties, adduced representations, Whittaker functionals, and rank for unitary representations of \(GL(n)\). Zbl 1270.22007 Gourevitch, Dmitry; Sahi, Siddhartha 9 2013 Intertwining operators between line bundles on Grassmannians. Zbl 1283.22013 Gourevitch, Dmitry; Sahi, Siddhartha 2 2013 The Capelli identity for Grassmann manifolds. Zbl 1271.22011 Sahi, Siddhartha 1 2013 Fourier coefficients of automorphic forms, character variety orbits, and small representations. Zbl 1272.11062 Miller, Stephen D.; Sahi, Siddhartha 12 2012 Existence of Klyachko models for \(\mathrm{GL}(n,\mathbb R)\) and \(\mathrm{GL}(n,\mathbb C)\). Zbl 1239.22010 Gourevitch, Dmitry; Offen, Omer; Sahi, Siddhartha; Sayag, Eitan 6 2012 Binomial coefficients and Littlewood-Richardson coefficients for Jack polynomials. Zbl 1232.05241 Sahi, Siddhartha 2 2011 Binomial coefficients and Littlewood-Richardson coefficients for interpolation polynomials and Macdonald polynomials. Zbl 1236.33036 Sahi, Siddhartha 1 2011 A note on the resolvent of a nonnegative matrix and its applications. Zbl 1192.15015 Sahi, Siddhartha 3 2010 Correlation inequalities for partially ordered algebras. Zbl 1177.06025 Sahi, Siddhartha 1 2009 Higher correlation inequalities. Zbl 1174.05011 Sahi, Siddhartha 4 2008 The FKG inequality for partially ordered algebras. Zbl 1144.82016 Sahi, Siddhartha 2 2008 Raising and lowering operators for Askey-Wilson polynomials. Zbl 1134.33015 Sahi, Siddhartha 5 2007 Biorthogonal expansion of non-symmetric Jack functions. Zbl 1150.33004 Sahi, Siddhartha; Zhang, Genkai 4 2007 Triple groups and Cherednik algebras. Zbl 1158.20002 Ion, Bogdan; Sahi, Siddhartha 5 2006 Jack, Hall-Littlewood and Macdonald polynomials. Workshop on Jack, Hall-Littlewood and Macdonald polynomials, ICMS, Edinburgh, UK, September 23–26, 2003. Zbl 1102.33001 4 2006 Convolution of invariant distributions: proof of the Kashiwara-Vergne conjecture. Zbl 1059.22008 Andler, Martin; Sahi, Siddhartha; Torossian, Charles 14 2004 Explicit Hilbert spaces for certain unipotent representations. III. Zbl 1029.22021 Dvorsky, Alexander; Sahi, Siddhartha 7 2003 Kontsevich quantization and invariant distributions on Lie groups. Zbl 1009.22020 Andler, Martin; Dvorsky, Alexander; Sahi, Siddhartha 14 2002 Some properties of Koornwinder polynomials. Zbl 0959.33008 Sahi, Siddhartha 11 2000 A new formula for weight multiplicities and characters. Zbl 0953.17003 Sahi, Siddhartha 10 2000 Deformation quantization and invariant distributions. Zbl 0957.22022 Andler, Martin; Dvorsky, Alexander; Sahi, Siddhartha 8 2000 Nonsymmetric Koornwinder polynomials and duality. Zbl 0941.33013 Sahi, Siddhartha 73 1999 Explicit Hilbert spaces for certain unipotent representations. II. Zbl 0937.22006 Dvorsky, Alexander; Sahi, Siddhartha 20 1999 The binomial formula for nonsymmetric Macdonald polynomials. Zbl 0947.33012 Sahi, Siddhartha 7 1998 Tensor products of singular representations and an extension of the \(\theta\)-correspondence. Zbl 0963.22008 Dvorsky, Alexander; Sahi, Siddhartha 4 1998 A recursion and a combinatorial formula for Jack polynomials. Zbl 0870.05076 Knop, Friedrich; Sahi, Siddhartha 78 1997 Interpolation, integrality, and a generalization of Macdonald’s polynomials. Zbl 0861.05063 Sahi, Siddhartha 47 1996 Difference equations and symmetric polynomials defined by their zeros. Zbl 0880.43014 Knop, Friedrich; Sahi, Siddhartha 33 1996 A new scalar product for nonsymmetric Jack polynomials. Zbl 0885.33006 Sahi, Siddhartha 15 1996 Jordan algebras and degenerate principal series. Zbl 0822.22006 Sahi, Siddhartha 31 1995 The spectrum of certain invariant differential operators associated to a Hermitian symmetric space. Zbl 0851.22010 Sahi, Siddhartha 28 1994 Unitary representations on the Shilov boundary of a symmetric tube domain. Zbl 0790.22010 Sahi, Siddhartha 24 1993 Jordan algebras and Capelli identities. Zbl 0999.17043 Kostant, Bertram; Sahi, Siddhartha 21 1993 Logarithmic convexity of Perron-Frobenius eigenvectors of positive matrices. Zbl 0784.15013 Sahi, Siddhartha 2 1993 Explicit Hilbert spaces for certain unipotent representations. Zbl 0779.22006 Sahi, Siddhartha 19 1992 The Capelli identity and unitary representations. Zbl 0758.22008 Sahi, Siddhartha 10 1992 The Capelli identity, tube domains, and the generalized Laplace transform. Zbl 0748.22008 Kostant, Bertram; Sahi, Siddhartha 31 1991 Analysis in matrix space and Speh’s representations. Zbl 0728.22010 Sahi, Siddhartha; Stein, Elias M. 13 1990 A simple construction of Stein’s complementary series representations. Zbl 0714.22013 Sahi, Siddhartha 7 1990 On Kirillov’s conjecture for Archimedean fields. Zbl 0693.22006 Sahi, Siddhartha 12 1989 Degenerate series representations for GL(2n,\({\mathbb{R}})\) and Fourier analysis. Zbl 0715.22009 Barbasch, Dan; Sahi, Siddhartha; Speh, Birgit 3 1989 all cited Publications top 5 cited Publications all top 5 Cited by 406 Authors 31 Sahi, Siddhartha 15 Gourevitch, Dmitry 11 Zhang, Genkai 7 Alekseev, Anton Yur’evich 7 Frahm, Jan 7 Lee, Soo Teck 7 Rains, Eric M. 7 Salmasian, Hadi 7 Sayag, Eitan 7 Torossian, Charles 6 Dołęga, Maciej 6 Dunkl, Charles F. 6 Kleinschmidt, Axel 6 Lapointe, Luc 6 Liu, Baiying 6 Savin, Gordan 6 Stokman, Jasper V. 5 Aizenbud, Avraham 5 Desrosiers, Patrick 5 Etingof, Pavel Il’ich 5 Forrester, Peter J. 5 Gustafsson, Henrik P. A. 5 Ion, Bogdan 5 Kaplan, Eyal 5 Kobayashi, Toshiyuki 5 Lascoux, Alain 5 Lee, Jaeho 5 Oblomkov, Alexei A. 5 Ørsted, Bent 5 Persson, Daniel 5 Zhu, Chen-Bo 4 Alexandersson, Per 4 Bossard, Guillaume 4 Chalykh, Oleg A. 4 Féray, Valentin 4 Friedberg, Solomon 4 Haglund, James 4 Koornwinder, Tom H. 4 Lassalle, Michel 4 Mathieu, Pierre 4 Rösler, Margit 4 Samuelson, Peter 4 Schwarz, Benjamin 4 Veselov, Alexander Petrovich 4 Vinet, Luc 4 Warnaar, S. Ole 3 Assaf, Sami H. 3 Baker, Timothy H. 3 Berest, Yuri Yu. 3 Borodin, Alexei 3 Cai, Yuanqing 3 Dubey, Pradeep K. 3 Griffeth, Stephen 3 Haiman, Mark D. 3 Hanzer, Marcela 3 Howe, Roger Evans 3 Jing, Naihuan 3 Meinrenken, Eckhard 3 Noumi, Masatoshi 3 Okun’kov, Andreĭ Yur’evich 3 Ol’shanskiĭ, Grigoriĭ Iosifovich 3 Ram, Arun 3 Serganova, Vera V. 3 Sergeev, Aleksandr Nikolaevich 3 van Diejen, Jan Felipe 3 Wheeler, Michael 3 Xu, Bin 2 Andler, Martin 2 Arnal, Didier 2 Barbier, Sigiswald 2 Barchini, Leticia 2 Ben Saïd, Salem 2 Bershtein, Olga 2 Blinovsky, Vladimir Markovich 2 Bravi, Paolo 2 Brennecken, Dominik 2 Cai, Tommy Wuxing 2 Cavallin, Mikaël 2 Chaabouni, Mouna 2 Cherednik, Ivan V. 2 Claerebout, Sam 2 Colmenarejo, Laura 2 Cooke, Juliet 2 de Gier, Jan 2 Dherin, Benoit 2 Dvorsky, Alexander 2 Emsiz, Erdal 2 Engliš, Miroslav 2 Faraut, Jacques 2 Gandini, Jacopo 2 Geronimo, Jeffrey S. 2 Golubeva, Valentina Alekseevna 2 González, Nicolle S. 2 Hallnäs, Martin A. 2 Hfaiedh, Mabrouka 2 Huang, Hau-wen 2 Huang, Jing-Song 2 Iliev, Plamen 2 Ito, Masahiko 2 Jackson, David M. ...and 306 more Authors all top 5 Cited in 117 Serials 24 Advances in Mathematics 19 Journal of Functional Analysis 19 Transactions of the American Mathematical Society 15 Duke Mathematical Journal 14 Journal of Algebra 12 Communications in Mathematical Physics 12 Mathematische Zeitschrift 11 Journal of Combinatorial Theory. Series A 11 Journal of Algebraic Combinatorics 11 Representation Theory 10 Journal of Mathematical Physics 10 Compositio Mathematica 8 Letters in Mathematical Physics 8 Selecta Mathematica. New Series 7 Inventiones Mathematicae 7 The Electronic Journal of Combinatorics 7 Transformation Groups 7 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 6 Journal of Number Theory 6 Advances in Applied Mathematics 5 Israel Journal of Mathematics 5 Annales de l’Institut Fourier 5 Canadian Journal of Mathematics 5 Manuscripta Mathematica 5 Proceedings of the American Mathematical Society 5 Journal of Lie Theory 5 Journal of High Energy Physics 5 Comptes Rendus. Mathématique. Académie des Sciences, Paris 5 Algebraic Combinatorics 4 Journal of Geometry and Physics 4 Linear Algebra and its Applications 4 The Ramanujan Journal 3 Communications in Algebra 3 Nuclear Physics. B 3 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 3 Journal of Computational and Applied Mathematics 3 Memoirs of the American Mathematical Society 3 Constructive Approximation 3 International Journal of Mathematics 3 Journal of Mathematical Sciences (New York) 3 Annals of Combinatorics 3 Annales Henri Poincaré 2 Journal of Mathematical Analysis and Applications 2 Problems of Information Transmission 2 Functional Analysis and its Applications 2 Journal of Approximation Theory 2 Journal of Pure and Applied Algebra 2 Journal für die Reine und Angewandte Mathematik 2 Mathematische Annalen 2 Monatshefte für Mathematik 2 Publications of the Research Institute for Mathematical Sciences, Kyoto University 2 Studies in Applied Mathematics 2 European Journal of Combinatorics 2 Acta Applicandae Mathematicae 2 Journal of the American Mathematical Society 2 Geometric and Functional Analysis. GAFA 2 Games and Economic Behavior 2 Bulletin of the American Mathematical Society. New Series 2 Indagationes Mathematicae. New Series 2 Documenta Mathematica 2 Séminaire Lotharingien de Combinatoire 2 Geometry & Topology 2 Annals of Mathematics. Second Series 2 Journal of the European Mathematical Society (JEMS) 2 Journal of Algebra and its Applications 2 Algebra & Number Theory 2 Japanese Journal of Mathematics. 3rd Series 1 International Journal of Modern Physics B 1 Applicable Analysis 1 International Journal of Control 1 Journal of Statistical Physics 1 Mathematics of Computation 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 American Journal of Mathematics 1 The Annals of Probability 1 Bulletin de la Société Mathématique de France 1 Canadian Mathematical Bulletin 1 Glasgow Mathematical Journal 1 Publications Mathématiques 1 Journal of Combinatorial Theory. Series B 1 Journal of the Indian Institute of Science 1 Journal of the London Mathematical Society. Second Series 1 Journal of the Mathematical Society of Japan 1 Journal of Multivariate Analysis 1 Mathematische Nachrichten 1 Mathematica Scandinavica 1 Michigan Mathematical Journal 1 Nagoya Mathematical Journal 1 Pacific Journal of Mathematics 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Combinatorica 1 Journal of Symbolic Computation 1 Journal of Theoretical Probability 1 International Journal of Algebra and Computation 1 Differential Geometry and its Applications 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Proceedings of the National Academy of Sciences of the United States of America 1 Journal of Knot Theory and its Ramifications 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Annales Mathématiques Blaise Pascal ...and 17 more Serials all top 5 Cited in 40 Fields 135 Topological groups, Lie groups (22-XX) 131 Special functions (33-XX) 118 Combinatorics (05-XX) 93 Nonassociative rings and algebras (17-XX) 83 Group theory and generalizations (20-XX) 60 Number theory (11-XX) 40 Quantum theory (81-XX) 37 Abstract harmonic analysis (43-XX) 27 Differential geometry (53-XX) 23 Associative rings and algebras (16-XX) 19 Algebraic geometry (14-XX) 17 Manifolds and cell complexes (57-XX) 14 Several complex variables and analytic spaces (32-XX) 14 Operator theory (47-XX) 12 Linear and multilinear algebra; matrix theory (15-XX) 12 Statistical mechanics, structure of matter (82-XX) 11 Probability theory and stochastic processes (60-XX) 9 Global analysis, analysis on manifolds (58-XX) 8 Dynamical systems and ergodic theory (37-XX) 8 Difference and functional equations (39-XX) 7 Integral transforms, operational calculus (44-XX) 7 Functional analysis (46-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 5 Convex and discrete geometry (52-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Order, lattices, ordered algebraic structures (06-XX) 4 Functions of a complex variable (30-XX) 3 Commutative algebra (13-XX) 3 Relativity and gravitational theory (83-XX) 2 Real functions (26-XX) 2 Partial differential equations (35-XX) 2 Numerical analysis (65-XX) 2 Mechanics of particles and systems (70-XX) 1 General and overarching topics; collections (00-XX) 1 Mathematical logic and foundations (03-XX) 1 Category theory; homological algebra (18-XX) 1 \(K\)-theory (19-XX) 1 Approximations and expansions (41-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) Citations by Year