Irreducibility of unitary group representations and reproducing kernels Hilbert spaces

M. Bachir Bekka, Pierre de la Harpe, Rostislav Grigorchuk

Type: Article

Publication Date: 2003-01-01

Citations: 26

DOI: https://doi.org/10.1016/s0723-0869(03)80014-2

View Publication

Locations

Expositiones Mathematicae - View

Similar Works

Action	Title	Year	Authors
+	Invariant spaces under unitary representations of discrete groups	2018	Davide Barbieri Eugenio Hernández Victoria Paternostro
+	Finitely generated groups of unitary operators	1999	А. В. Егоров
+	Representation theory of infinite-dimensional unitary groups	1993	Robert P. Boyer
+	Irreducible representations of the unitary group	2008	Jacques Faraut
+ PDF Chat	Irreducibly represented groups	2008	Bachir Bekka Pierre de la Harpe
+	Discrete groups and operator algebras	2009	Narutaka Ozawa
+	Unitary Representations	2002	M. W. Wong
+	Unitary representations of the infinite symmetric group	1985	Nobuaki Obata
+	Invariant Kreùõn subspaces, regular irreducibility and integral representations	2008	Xavier Mary
+	Irreducibly represented groups	2006	Bachir Bekka Pierre de la Harpe
+	ON THE UNITARY REPRESENTATIONS OF A CLASS OF PSEUDO-ORTHOGONAL GROUPS	1965	A. Kihlberg
+	The theory of unitary group representations	1976	George W. Mackey
+ PDF Chat	Discrete degenerate representations of non-compact unitary groups	1966	R. Rçaczka Ján Fischer
+	Induced Representations of Locally Compact Groups	2012	Eberhard Kaniuth Keith F. Taylor
+	Unitary group representations	2008	Bachir Bekka Pierre de la Harpe Alain Valette
+ PDF Chat	Irreducibly represented groups	2008	Bachir Bekka Pierre de la Harpe
+	Irreducibly represented groups	2006	Bachir Bekka Pierre de la Harpe
+ PDF Chat	Representations of compact groups realized by spherical functions on symmetric spaces	1962	Mitsuo Sugiura
+	Discrete isometry groups of symmetric spaces	2017	Michael Kapovich Bernhard Leeb
+ PDF Chat	Induced representations of discrete groups	1975	Lawrence Corwin

Works That Cite This (26)

Action	Title	Year	Authors
+ PDF Chat	Berezin quantization on generalized flag manifolds	2009	Benjamin Cahen
+	Integrable and Chaotic Systems Associated with Fractal Groups.	2020	Rostislav Grigorchuk Supun T. Samarakoon
+ PDF Chat	Cubature Formulas, Geometrical Designs, Reproducing Kernels, and Markov Operators	2005	Pierre de la Harpe Claude Pache
+	The lumpability property for a family of Markov chains on poset block structures	2013	Daniele D’Angeli Alfredo Donno
+	Appendix: Gelfand pairs associated with the action of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" display="inline" overflow="scroll"><mml:mi>G</mml:mi></mml:math>	2012	Daniele D’Angeli Alfredo Donno
+	Sur le spectre des opérateurs de Markov de designs sphériques	2003	Claude Pache
+	Groups acting on rooted trees and their representations on the boundary	2019	Steffen Kionke
+ PDF Chat	Invariant symbolic calculus for compact Lie groups	2019	Benjamin Cahen
+ PDF Chat	Harmonic analysis on a finite homogeneous space	2009	Fabio Scarabotti Filippo Tolli
+	Reproducing kernel Hilbert C∗-modules and kernels associated with cocycles	2008	Jaeseong Heo

Works Cited by This (50)

Action	Title	Year	Authors
+	Positive Definite Kernels	2020	Srishti D. Chatterji
+	The theory of unitary group representations	1976	George W. Mackey
+	Function Theory of Several Complex Variables	2001	Steven G. Krantz
+	Representations and invariants of the classical groups	1998	Roe Goodman Nolan R. Wallach
+	Algebraic Graph Theory	1974	Norman Biggs
+ PDF Chat	Topics in geometric group theory	2001	La Harpe P. K. De
+	The Kernel Function and Conformal Mapping	1951	H. G. Eggleston Stefan Bergman
+	Introduction to Fourier Analysis on Euclidean Spaces.	1971	Elias M. Stein Guido Weiss
+	Factorization of positive finite operator-valued kernels	1983	Srishti D. Chatterji
+ PDF Chat	Some questions of Edjvet and Pride about infinite groups	1986	Peter Neumann