Found 164 Documents (Results 1–100)
Strong Gelfand pairs of \(\mathrm{SL}(2, p^n)\). (English) Zbl 07870859
Reviewer: Marco Antonio Pellegrini (Brescia)
Strong Gelfand pairs of \(\mathrm{SL} (2, p)\). (English) Zbl 1517.20070
Reviewer: Saikat Panja (Prayāgrāj)
Generic Gelfand-Tsetlin modules of quantized and classical orthogonal algebras. (English) Zbl 1518.17019
Reviewer: Dmitry Artamonov (Moskva)
Gelfand pairs associated with the action of graph automaton groups. (English) Zbl 1522.20099
Reviewer: Joy Morris (Lethbridge)
A Cartan decomposition for Gelfand pairs and induction of spherical functions. (English) Zbl 1521.22015
Aperiodic order and spherical diffraction. III: The shadow transform and the diffraction formula. (English) Zbl 1485.43005
On commutative homogeneous vector bundles attached to nilmanifolds. (English) Zbl 1482.22012
Reviewer: Jorge Vargas (Córdoba)
Explicit fundamental solution for the operator \(L+\alpha |T|\) on the Gelfand pair \((\mathbb{H}_n,U(n))\). (English) Zbl 1543.47097
Continuous spherical Gabor transform for Gelfand pair. (English) Zbl 1469.43002
Reviewer: Elijah Liflyand (Ramat-Gan)
Multipliers for Gelfand pairs. (English) Zbl 1482.43002
Reviewer: M. J. Mehdipour (Shiraz)
Multiplicity one theorem for \((\mathrm{GL}_{n+1}, \mathrm{GL}_n)\) over a local field of positive characteristic. (English) Zbl 1487.20016
Reviewer: Alastair Litterick (Colchester)
Symmetric spectral synthesis. (English) Zbl 1470.43008
On the algebraic combinatorics of injections and its applications to injection codes. (English) Zbl 1453.94154
Finite Gelfand pairs and cracking points of the symmetric groups. (English) Zbl 1507.20004
Reviewer: Can Mahir Bilen (New Orleans)
Gelfand triples and their Hecke algebras. Harmonic analysis for multiplicity-free induced representations of finite groups. With a foreword by Eiichi Bannai. (English) Zbl 1479.20002
Lecture Notes in Mathematics 2267. Cham: Springer (ISBN 978-3-030-51606-2/pbk; 978-3-030-51607-9/ebook). xviii, 140 p. (2020).
Reviewer: Enrico Jabara (Venezia)
An orbit model for the spectra of nilpotent Gelfand pairs. (English) Zbl 1458.22004
Reviewer: Béchir Dali (Bizerte)
Mehler-Heine formula: a generalization in the context of spherical functions. (English) Zbl 1450.43005
Reviewer: Rama Rawat (Kanpur)
Hyperbolic spaces, principal series, and \({\text{O}}(2,\infty )\). (English) Zbl 1432.22010
Reviewer: V. V. Gorbatsevich (Moskva)
Harmonic analysis on some generalized Gelfand pairs attached to Heisenberg groups. (English) Zbl 1422.43010
Reviewer: Jacques Faraut (Paris)
Fourier multiplier norms of spherical functions on the generalized Lorentz groups. (English) Zbl 1379.43009
Reviewer: V. V. Gorbatsevich (Moskva)
Invariant means on double coset spaces. (English) Zbl 1399.43021
Reviewer: Jacques Faraut (Paris)
MSC:
43A85
Spherical spectral synthesis. (English) Zbl 1399.43012
A Paley-Wiener theorem for the spherical transform associated with the generalized Gelfand pair \((U(p,q),H_n)\), \(p+q=n\). (English) Zbl 1356.43004
Reviewer: Koichi Saka (Akita)
On the analytic structure of commutative nilmanifolds. (English) Zbl 1341.22004
Reviewer: V. V. Gorbatsevich (Moskva)
Segal-Bargmann transform and Paley-Wiener theorems on Heisenberg motion groups. (English) Zbl 1332.22012
Reviewer: Koichi Saka (Akita)
Invariant functionals on Speh representations. (English) Zbl 1335.22015
Reviewer: Binyong Sun (Beijing)
Spaces of bounded spherical functions on Heisenberg groups. II. (English) Zbl 1312.43008
Reviewer: Koichi Saka (Akita)
Spaces of bounded spherical functions on Heisenberg groups. I. (English) Zbl 1312.43007
Reviewer: Koichi Saka (Akita)
Olshanski spherical pairs related to the Heisenberg group. (English) Zbl 1296.43004
Reviewer: Koichi Saka (Akita)
Irreducible representations of a product of real reductive groups. (English) Zbl 1284.22007
Reviewer: Jun Yu (Princeton)
Harmonic analysis on the infinite-dimensional unitary-symplectic group. (English. Russian original) Zbl 1275.43009
J. Math. Sci., New York 190, No. 3, 472-485 (2013); translation from Zap. Nauchn. Semin. POMI 403, 118-141 (2012).
Reviewer: Alexander Tovstolis (Stillwater)
Fourier analysis of subgroup conjugacy invariant functions on finite groups. (English) Zbl 1271.43006
Reviewer: Łukasz Garncarek (Wrocław)
Invariant differential operators on the Heisenberg group and Meixner-Pollaczek polynomials. (English) Zbl 1276.32017
Reviewer: Veronique Fischer (London)
Soliton solutions for nonlinear evolution equations by using inverse scattering method. (English) Zbl 1264.65155
Multiplicity free Jacquet modules. (English) Zbl 1268.22014
Reviewer: Yuval Z. Flicker (Columbus)
Scattering theory for CMV matrices: Uniqueness, Helson-Szegő and strong Szegő theorems. (English) Zbl 1235.47029
Reviewer: Bilender P. Allahverdiev (Isparta)
Infinite-dimensional multiplicity-free spaces. I: Limits of compact commutative spaces. (English) Zbl 1222.22019
Neeb, Karl-Hermann (ed.) et al., Developments and trends in infinite-dimensional Lie theory. Basel: Birkhäuser (ISBN 978-0-8176-4740-7/hbk; 978-0-8176-4741-4/ebook). Progress in Mathematics 288, 459-481 (2011).
Reviewer: Sergei Platonov (Petrozavodsk)
Spherical distributions of some generalized Gelfand pairs attached to the Heisenberg group. (English) Zbl 1225.22007
Polcino Milies, César (ed.), Groups, algebras and applications. XVIII Latin American algebra colloquium, São Pedro, Brazil, August 3–8, 2009. Proceedings. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-5239-2/pbk). Contemporary Mathematics 537, 241-253 (2011).
Reviewer: Hidenori Fujiwara (Iizuka)
MSC:
22E27
Infinite dimensional multiplicity free spaces. III: Matrix coefficients and regular functions. (English) Zbl 1207.22012
Reviewer: Volodymyr Mazorchuk (Uppsala)
On a groupoid Gelfand pair. (English) Zbl 1190.22004
Reviewer: Sh. A. Ayupov (Tashkent)
Asymptotic spherical analysis on the Heisenberg group. (English) Zbl 1189.43007
Reviewer: Koichi Saka (Akita)
Harmonic analysis on a finite homogeneous space. (English) Zbl 1189.43008
Reviewer: Roman Urban (Wrocław)
Gelfand pairs related to groups of Heisenberg type. (English) Zbl 1206.43007
Reviewer: Hidenori Fujiwara (Iizuka)
About the relation between multiplicity free and strong multiplicity free. (English) Zbl 1190.43009
Reviewer: Boris Rubin (Baton Rouge)
Gelfand transforms of \(\mathrm{SO}(3)\)-invariant Schwartz functions on the free group \(N_{3,2}\). (English) Zbl 1187.43007
Reviewer: Béchir Dali (Riyadh)
Finite Gelfand pairs: examples and applications. (English) Zbl 1184.43010
Bianchi, Mariagrazia (ed.) et al., Ischia group theory 2008. Proceedings of the conference in group theory, Naples, Italy, April 1–4, 2008. Hackensack, NJ: World Scientific (ISBN 978-981-4277-79-2/pbk). 7-41 (2009).
Reviewer: Roman Urban (Wrocław)
Multiplicity one theorem for \((\text{GL}_{n+1}({\mathbb{R}}), \text{GL}_{n} ({ \mathbb{R}}))\). (English) Zbl 1185.22006
Reviewer: Roland Lötscher (München)
Alpha-determinant cyclic modules and Jacobi polynomials. With an appendix by Kazufumi Kimoto. (English) Zbl 1189.17009
Reviewer: Annegret Paul (Kalamazoo)
Infinite dimensional multiplicity free spaces. II: Limits of commutative nilmanifolds. (English) Zbl 1180.22021
Gordon, Carolyn S. (ed.) et al., New developments in Lie theory and geometry. Proceedings of the 6th workshop on Lie theory and geometry, Cruz Chica, Córdoba, Argentina, November 13–17, 2007. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4651-3/pbk). Contemporary Mathematics 491, 179-208 (2009).
Reviewer: Volodymyr Mazorchuk (Uppsala)
Spherical functions for the action of a finite unitary group on a finite Heisenberg group. (English) Zbl 1182.43014
Gordon, Carolyn S. (ed.) et al., New developments in Lie theory and geometry. Proceedings of the 6th workshop on Lie theory and geometry, Cruz Chica, Córdoba, Argentina, November 13–17, 2007. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4651-3/pbk). Contemporary Mathematics 491, 151-166 (2009).
Reviewer: Koichi Saka (Akita)
On the spectrum of the generalized Gelfand pair \((U(p,q),H_n)\), \(p+q=n\). (English) Zbl 1190.22011
Reviewer: Dashan Fan (Milwaukee)
Gelfand pairs on the Heisenberg group and Schwartz functions. (English) Zbl 1167.43008
Reviewer: Benjamin B. Wells jun. (Charlottesville)
MSC:
43A80
\((\mathrm{GL}(n+1,\mathbb R),\mathrm{GL}(n,\mathbb R))\) is a generalized Gelfand pair. (English) Zbl 1181.43005
Reviewer: Jacques Faraut (Paris)
MSC:
43A85
On some Hilbert cosine functions. (English) Zbl 1157.39014
Reviewer: Tomasz Zgraja (Bielsko-Biała)
A Bochner type theorem for inductive limits of Gelfand pairs. (English) Zbl 1154.22015
Reviewer: Rainer Felix (Eichstätt)
Infinite dimensional spherical analysis. (English) Zbl 1154.43008
COE Lecture Note 10. Fukuoka: Kyushu University, The 21st Century COE Program “DMHF”. iii, 74 p. (2008).
Reviewer: Ilka Agricola (Berlin)
Christoffel-Darboux formula for zonal spherical functions for the Gelfand pair \((U(n),U(n - 1))\). (English) Zbl 1140.33005
Reviewer: Vasile Ionescu (Bucureşti)
Rankin-Selberg without unfolding and bounds for spherical Fourier coefficients of Maass forms. (English) Zbl 1188.11024
Reviewer: Solomon Friedberg (Chestnut Hill)
Spectral analysis of finite Markov chains with spherical symmetries. (English) Zbl 1128.60006
Reviewer: Anatoly N. Kochubei (Kyïv)
Harmonic analysis on commutative spaces. (English) Zbl 1156.22010
Mathematical Surveys and Monographs 142. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4289-8). xv, 387 p. (2007).
Reviewer: Helge Glöckner (Paderborn)
Steinberg characters for Chevalley groups over finite local rings. (English) Zbl 1124.20029
Reviewer: Wilberd van der Kallen (Utrecht)
Alternating forms and self-adjoint operators. (English) Zbl 1111.11022
Reviewer: Andrzej Sładek (Katowice)
Principal Gelfand pairs. (English) Zbl 1108.22015
Reviewer: Dmitri Panyushev (Moskva)
Symmetric pairs, Gelfand pairs and pairs such that generating functions of zonal spherical functions define unitary operators – the case of the compact type. (English) Zbl 1104.43008
Reviewer: Roman Urban (Wrocław)
Gelfand pairs and generalized d’Alembert’s and Cauchy’s functional equations. (English) Zbl 1092.39024
Reviewer: Henrik Stetkaer (Aarhus)
Interpolation with reflection invariant positive definite functions. (English) Zbl 1076.43006
Chui, Charles K.(ed.) et al., Approximation theory XI. Proceedings of the 11th international conference, Gatlinburg, TN, USA, May 18–22, 2004. Brentwood, TN: Nashboro Press (ISBN 0-9728482-5-8/hbk). Modern Methods in Mathematics, 105-120 (2005).
Reviewer: Su Weiyi (Nanjing)
The hyperoctahedral group, symmetric group representations and the moments of the real Wishart distribution. (English) Zbl 1067.60003
Reviewer: Gennadiy M. Fel’dman (Khar’kov)
Zonal spherical functions on the complex reflection groups and (\(n+1,m+1\))-hypergeometric functions. (English) Zbl 1054.33011
Reviewer: Fabio Scarabotti (Roma)
Symmetric association schemes attached to finite upper half planes over rings. (English) Zbl 1037.05051
Factorization of conditional expectations on Kac algebras and quantum double coset hypergroups. (English) Zbl 1097.46047
Ukr. Mat. Zh. 55, No. 12, 1669-1677 (2003) and Ukr. Math. J. 55, No. 12, 1994-2005 (2003).
Reviewer: Anatoly N. Kochubei (Kyïv)
The method of Poisson pairs in the theory of nonlinear PDEs. (English) Zbl 1061.35118
Greco, Antonio M. (ed.), Direct and inverse methods in nonlinear evolution equations. Lectures given at the C.I.M.E. summer school, Cetraro, Italy, September 5–12, 1999. Berlin: Springer (ISBN 3-540-20087-8/hbk). Lect. Notes Phys. 632, 85-136 (2003).
Reviewer: Markus Kunze (Essen)
Correspondences of the Gelfand invariants in reductive dual pairs. (English) Zbl 1048.17008
Reviewer: Volodymyr Mazorchuk (Uppsala)
Orthogonal polynomials arising from the wreath products of a dihedral group with a symmetric group. (English) Zbl 1064.33009
An application of Gelfand pairs to a problem of diffusion in compact ultrametric spaces. (English) Zbl 0985.60004
Taylor, J. C. (ed.), Topics in probability and Lie groups: boundary theory. Providence, RI: American Mathematical Society (AMS). CRM Proc. Lect. Notes. 28, 51-67 (2001).
Reviewer: Anatoly N.Kochubei (Kyïv)
Invariant theory for the orthogonal group via star products. (English) Zbl 0977.22007
Reviewer: K.Saka (Akita)
A geometric criterion for Gelfand pairs associated with nilpotent Lie groups. (English) Zbl 0982.22007
Reviewer: Hidenori Fujiwara (Iizuka)
Strictly positive definite functions on a compact group. (English) Zbl 0964.43005
Reviewer: Hidenori Fujiwara (Iizuka)
Two dual pair methods in the study of generalized Whittaker models for irreducible highest weight modules. (English) Zbl 0989.22023
Heyer, Herbert (ed.) et al., Infinite dimensional harmonic analysis. Transactions of the 2nd Japanese-German symposium, University of Kyoto, Japan, September 20-24, 1999. Bamberg: D. u. M. Gräbner, 373-387 (2000).
Reviewer: Takeshi Kawazoe (Yokohama)
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