Found 81 Documents (Results 1–81)
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)
Continuous spherical Gabor transform for Gelfand pair. (English) Zbl 1469.43002
Reviewer: Elijah Liflyand (Ramat-Gan)
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
An orbit model for the spectra of nilpotent Gelfand pairs. (English) Zbl 1458.22004
Reviewer: Béchir Dali (Bizerte)
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)
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)
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)
Multiplicity free Jacquet modules. (English) Zbl 1268.22014
Reviewer: Yuval Z. Flicker (Columbus)
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)
Gelfand pairs related to groups of Heisenberg type. (English) Zbl 1206.43007
Reviewer: Hidenori Fujiwara (Iizuka)
Gelfand transforms of \(\mathrm{SO}(3)\)-invariant Schwartz functions on the free group \(N_{3,2}\). (English) Zbl 1187.43007
Reviewer: Béchir Dali (Riyadh)
Multiplicity one theorem for \((\text{GL}_{n+1}({\mathbb{R}}), \text{GL}_{n} ({ \mathbb{R}}))\). (English) Zbl 1185.22006
Reviewer: Roland Lötscher (München)
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)
On the spectrum of the generalized Gelfand pair \((U(p,q),H_n)\), \(p+q=n\). (English) Zbl 1190.22011
Reviewer: Dashan Fan (Milwaukee)
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)
Rankin-Selberg without unfolding and bounds for spherical Fourier coefficients of Maass forms. (English) Zbl 1188.11024
Reviewer: Solomon Friedberg (Chestnut Hill)
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)
Principal Gelfand pairs. (English) Zbl 1108.22015
Reviewer: Dmitri Panyushev (Moskva)
Gelfand pairs and generalized d’Alembert’s and Cauchy’s functional equations. (English) Zbl 1092.39024
Reviewer: Henrik Stetkaer (Aarhus)
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)
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)
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)
Local ergodic theorems for \(K\)-spherical averages on the Heisenberg group. (English) Zbl 0957.22005
Reviewer: K.Saka (Akita)
Characterizing weakly symmetric spaces as Gelfand pairs. (English) Zbl 1024.53038
Reviewer: Ilka Agricola (Berlin)
Wavelet transform on compact Gelfand pairs and its discretization. (English) Zbl 0933.43005
Reviewer: Zhu Fulin (Hubei)
Cuspidal representations associated to \((\text{GL}(n),O(n))\) over finite fields and \(p\)-adic fields. (English) Zbl 0918.22013
Reviewer: Ehud Moshe Baruch (Rehovot)
On the Satake isomorphism. (English) Zbl 0996.11038
Scholl, A. J. (ed.) et al., Galois representations in arithmetic algebraic geometry. Proceedings of the symposium, Durham, UK, July 9-18, 1996. Cambridge: Cambridge University Press. Lond. Math. Soc. Lect. Note Ser. 254, 223-237 (1998).
Remarks on Gelfand pairs associated to non-type-I solvable Lie groups. (English) Zbl 0917.22006
Reviewer: Su Weiyi (Nanjing)
The spherical transform of a Schwartz function on the Heisenberg group. (English) Zbl 0914.22013
Reviewer: J.Ludwig (Metz)
MSC:
22E27
Generalized Gelfand pairs associated with the Heisenberg group. (Paires de Guelfand généralisées associées au groupe d’Heisenberg.) (French) Zbl 0908.43011
Reviewer: G.van Dijk (Leiden)
Algebras of invariant functions on the Shilov boundaries of Siegel domains. (English) Zbl 0910.22014
Reviewer: T.Kawazoe (Yokohama)
Harmonic analysis on the Heisenberg group. (English) Zbl 0892.43001
Progress in Mathematics (Boston, Mass.). 159. Boston, MA: Birkhäuser. xii, 191 p. (1998).
Reviewer: K.Saka (Akita)
A geometric criterion for Gelfand pairs associated with the Heisenberg group. (English) Zbl 0868.22015
Reviewer: C.Benson (St.Louis)
\(K\)-spherical representations for Gelfand pairs associated to solvable Lie groups. (English) Zbl 0901.22005
Reviewer: K.Kikuchi (Kyoto)
MSC:
22E25
Spherical unitary representation of type \(\delta\). (Représentation unitaire sphérique de type \(\delta\).) (French) Zbl 0899.22003
Reviewer: Diep Do Ngoc (Hanoi)
MSC:
22D10
The Penney-Fujiwara Plancherel formula for Gelfand pairs. (English) Zbl 0866.22014
Reviewer: H.Fujiwara (Iizuka)
MSC:
22E45
Generalized Gelfand pairs and the Heisenberg group. (Paires de Guelfand généralisées et le groupe d’Heisenberg.) (French) Zbl 0858.43011
Reviewer: J.Faraut (Paris)
Representations of double coset hypergroups and induced representations. (English) Zbl 0844.43007
Reviewer: M.Voit (Tübingen)
Gelfand pair associated with a Hopf algebra and a coideal. (English) Zbl 0851.22003
Ukr. Math. J. 46, No. 8, 1157-1171 (1994) and Ukr. Mat. Zh. 46, No. 8, 1055-1066 (1994).
Uncertainty principles for Gelfand pairs and Cayley complexes. (English) Zbl 0831.43004
Gindikin, Simon (ed.) et al., 75 years of Radon transform. Proceedings of the conference held at the Erwin Schrödinger International Institute for Mathematical Physics in Vienna, Austria, August 31-September 4, 1992. Cambridge, MA: International Press. Conf. Proc. Lect. Notes Math. Phys. 4, 271-292 (1994).
Reviewer: K.Saka (Akita)
On Gelfand pairs associated with nilpotent Lie groups. (English) Zbl 0842.22010
Reviewer: R.Felix (Eichstätt)
Pointwise ergodic theorems for radial averages on simple Lie groups. I. (English) Zbl 0838.43013
Reviewer: J.Faraut (Paris)
Harmonic analysis and pointwise ergodic theorems for noncommuting transformations. (English) Zbl 0812.22005
Harmonic analysis of automorphism groups of Bruhat-Tits trees. (Analyse harmonique des groupes d’automorphismes d’arbres de Bruhat-Tits.) (French. English summary) Zbl 0840.43019
Mém. Soc. Math. Fr., Nouv. Sér. 58, 1-166 (1994).
Reviewer: F.Choucroun (Paris)
A new class of Gelfand pairs. (English) Zbl 0829.22015
Reviewer: F.Rouvière (Nice)
Generating function for the spherical functions on a Gelfand pair of exceptional type. (English) Zbl 0838.43014
Reviewer: Zhu Fuliu (Hubei)
Howe/Kirillov theory for \(p\)-adic symmetric spaces. (English) Zbl 0828.22022
Reviewer: A.Deitmar (Heidelberg)
Gelfand pair associated with a Hopf algebra and a coideal. (English) Zbl 0840.22007
Reviewer: Li Fang (Nanjing)
Bounded \(K\)-spherical functions on Heisenberg groups. (English) Zbl 0763.22007
Reviewer: H.Fujiwara (Iizuka)
On Gelfand-Kirillov dimensions of \((g,A)\)-modules. (English) Zbl 0760.22022
Reviewer: H.de Vries (Nijmegen)
The uncertainty principle for Gelfand pairs. (English) Zbl 0888.43002
Reviewer: W.Schempp (Siegen)
Positive convolution structures associated with quantum groups. (English) Zbl 0823.60007
Heyer, Herbert (ed.), Probability measures on groups X. Proceedings of the tenth Oberwolfach conference, held November 4-10, 1990 in Oberwolfach, Germany. New York, NY: Plenum Publishing Corporation. 249-268 (1991).
A commutativity condition for algebras of invariant functions. (English) Zbl 0632.22005
Reviewer: E.Kaniuth
Décomposition d’Iwasawa et paires de Gelfand généralisées. (Iwasawa decomposition and generalized Gelfand pairs). (French) Zbl 0607.43006
Reviewer: G.van Dijk
Character relations between singular holomorphic representations. (English) Zbl 0536.22020
Representations theory of reductive groups, Proc. Conf., Park City/Utah 1982, Prog. Math. 40, 85-96 (1983).
Reviewer: S.Scull
Harmonic analysis on groups of Heisenberg type. (English) Zbl 0521.43008
Harmonic analysis, Proc. Conf., Cortona/Italy 1982, Lect. Notes Math. 992, 416-435 (1983).
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