N-dimensional affine Weyl-Heisenberg wavelets
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C. Kalisa, B. Torrésani (1993)
Annales de l'I.H.P. Physique théorique
Lawrence Corwin (1984)
Journal für die reine und angewandte Mathematik
Bérenger Akon Kpata, Ibrahim Fofana, Konin Koua (2009)
Annales mathématiques Blaise Pascal
Let be a locally compact group and the left Haar measure on . Given a non-negative Radon measure , we establish a necessary condition on the pairs for which is a multiplier from to . Applied to , our result is stronger than the necessary condition established by Oberlin in [14] and is closely related to a class of measures defined by Fofana in [7].When is the circle group, we obtain a generalization of a condition stated by Oberlin [15] and improve on it in some cases.
Freden, Eric M. (1996)
Annales Academiae Scientiarum Fennicae. Series A I. Mathematica
Lawrence A. Zalcman (1982)
Pokroky matematiky, fyziky a astronomie
E. Glasner, M. Megrelishvili (2008)
Fundamenta Mathematicae
For a topological group G we introduce the algebra SUC(G) of strongly uniformly continuous functions. We show that SUC(G) contains the algebra WAP(G) of weakly almost periodic functions as well as the algebras LE(G) and Asp(G) of locally equicontinuous and Asplund functions respectively. For the Polish groups of order preserving homeomorphisms of the unit interval and of isometries of the Urysohn space of diameter 1, we show that SUC(G) is trivial. We introduce the notion of fixed point on a class...
Gal, Światosław R., Januszkiewicz, Tadeusz (2003)
Journal of Lie Theory
Yongsheng Han, Dachun Yang (2002)
Wilczok, Elke (2000)
Documenta Mathematica
J. Bourgain, V.D. Milman (1987)
Inventiones mathematicae
Nageswari Shanmugalingam (2000)
Revista Matemática Iberoamericana
This paper studies a possible definition of Sobolev spaces in abstract metric spaces, and answers in the affirmative the question whether this definition yields a Banach space. The paper also explores the relationship between this definition and the Hajlasz spaces. For specialized metric spaces the Sobolev embedding theorems are proven. Different versions of capacities are also explored, and these various definitions are compared. The main tool used in this paper is the concept of moduli of path...
Andrzej Hulanicki, Joe Jenkins (1987)
Studia Mathematica
Andrzej Hulanicki, Joe Jenkins (1984)
Studia Mathematica
Detlev Poguntke (1977)
Mathematische Annalen
François Gramain (1974/1975)
Séminaire Delange-Pisot-Poitou. Théorie des nombres
Jean-Pierre Schreiber (1969/1970)
Séminaire Bourbaki
Bernard Host, Jean-François Méla, François Parreau (1991)
Bulletin de la Société Mathématique de France
Stefan Krasa (1985)
Monatshefte für Mathematik
Ol'shanskij, A.Yu., Sapir, M.V. (2001)
Electronic Research Announcements of the American Mathematical Society [electronic only]
Alexander Yu. Ol’shanskii, Mark V. Sapir (2003)
Publications Mathématiques de l'IHÉS
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