A characterization of generalized Rudin-Shapiro sequences with values in a locally compact abelian group
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Jean-Loup Mauclaire (1994)
Acta Arithmetica
V. Losert (1982)
Journal für die reine und angewandte Mathematik
V. Losert (1985/1986)
Mathematische Annalen
Dorte Olesen (1979)
Mathematica Scandinavica
Michael Barr (1977)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
Imre Ruzsa (1992)
Fundamenta Mathematicae
Let G be a connected locally compact group with a left invariant Haar measure μ. We prove that the function ξ(x) = inf μ̅(AB): μ(A) = x is concave for any fixed bounded set B ⊂ G. This is used to give a new proof of Kemperman’s inequality for unimodular G.
Simon Thomas (2015)
Journal of the European Mathematical Society
In this paper, we will study the relative complexity of the unitary duals of countable groups. In particular, we will explain that if and are countable amenable non-type I groups, then the unitary duals of and are Borel isomorphic.
A. Wawrzyńczyk (1970)
Studia Mathematica
Everest, Graham, Ward, Thomas (1998)
Experimental Mathematics
Frederick P. Greenleaf, Lawrence Corwin, Richard Penney (1977)
Mathematische Annalen
Ali Ghaffari (2012)
Czechoslovak Mathematical Journal
Let be a locally compact group. We continue our work [A. Ghaffari: -amenability of locally compact groups, Acta Math. Sinica, English Series, 26 (2010), 2313–2324] in the study of -amenability of a locally compact group defined with respect to a closed subgroup of . In this paper, among other things, we introduce and study a closed subspace of and then characterize the -amenability of using . Various necessary and sufficient conditions are found for a locally compact group to possess...
Abasalt Bodaghi, Behrouz Shojaee (2014)
Mathematica Bohemica
In the current work, a new notion of -weak amenability of Banach algebras using homomorphisms, namely --weak amenability is introduced. Among many other things, some relations between --weak amenability of a Banach algebra and , the Banach algebra of matrices with entries from , are studied. Also, the relation of this new concept of amenability of a Banach algebra and its unitization is investigated. As an example, it is shown that the group algebra is ()--weakly amenable for any...
Daonald I. Cartwright, J.R. McMullen (1982)
Journal für die reine und angewandte Mathematik
Nobuo Aoki (1981)
Fundamenta Mathematicae
A.L. Carey, W. Moran, C.E.M. Pearce (1995)
Mathematische Annalen
Sergio Doplicher, John E. Roberts (1989)
Inventiones mathematicae
Esben T. Kehlet (1978)
Mathematica Scandinavica
Gero Fendler (2002)
Colloquium Mathematicae
Answering a question of Pisier, posed in [10], we construct an L-set which is not a finite union of translates of free sets.
Eberhard Kaniuth (1976)
Mathematische Zeitschrift
W. Ruppert (1984)
Semigroup forum
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