Cocyle Representations of Solvable Lie Groups.
Henri Moscovici, Andrei Verona (1978)
Mathematische Zeitschrift
Michael Cowling, Uffe Haagerup (1989)
Inventiones mathematicae
J. Boidol (1982)
Journal für die reine und angewandte Mathematik
Stephan Dahlke, Peter Maass (1995)
The journal of Fourier analysis and applications [[Elektronische Ressource]]
F. GREENLEAF, M. MOSKOWITZ (1970/1971)
Mathematische Annalen
Rolf Wim Henrichs (1976)
Mathematische Zeitschrift
Toshiyuki Kobayashi (1994)
Inventiones mathematicae
Johan F. Aarnes (1979)
Mathematische Annalen
Krzysztof Maurin, Lidia Maurin (1975)
Annales Polonici Mathematici
Michèle Vergne (1970)
Annales scientifiques de l'École Normale Supérieure
Yehuda Shalom (2000)
Annales de l'institut Fourier
Consider a simple non-compact algebraic group, over any locally compact non-discrete field, which has Kazhdan’s property . For any such group, , we present a Kazhdan set of two elements, and compute its best Kazhdan constant. Then, settling a question raised by Serre and by de la Harpe and Valette, explicit Kazhdan constants for every lattice in are obtained, for a “geometric” generating set of the form , where is a ball of radius , and the dependence of on is described explicitly....
Detlev Poguntke (1996)
Colloquium Mathematicae
Pierre Pansu (1998)
Bulletin de la Société Mathématique de France
Gát, G., Toledo, R. (1999)
Mathematica Pannonica
John R. Liukkonen, Michael W. Mislove (1981)
Journal für die reine und angewandte Mathematik
J. Jankins (1972)
Studia Mathematica
Jacek Dziubanski, Jean Ludwig, Carine Molitor-Braun (2004)
Revista Matemática Complutense
Let G be a compactly generated, locally compact group with polynomial growth and let ω be a weight on G. We look for general conditions on the weight which allow us to develop a functional calculus on a total part of L1(G,ω). This functional calculus is then used to study harmonic analysis properties of L1(G,ω), such as the Wiener property and Domar's theorem.
Hartmut Führ (2010)
Colloquium Mathematicae
The construction of generalized continuous wavelet transforms on locally compact abelian groups A from quasi-regular representations of a semidirect product group G = A ⋊ H acting on L²(A) requires the existence of a square-integrable function whose Plancherel transform satisfies a Calderón-type resolution of the identity. The question then arises under what conditions such square-integrable functions exist. The existing literature on this subject leaves a gap between sufficient and necessary criteria....
Harald Rindler (1976)
Monatshefte für Mathematik
Armand Borel (1948/1951)
Séminaire Bourbaki