Results 11 to 20 of about 43 (38)
Book Review: The harmonic analysis of probability measures on hypergroups [PDF]
Bulletin of the American Mathematical Society, 1996 openaire +1 more source
W. R. Bloom and H. Heyer Harmonic analysis of probability measures on hypergroups (de Gruyter Studies in Mathematics Vol. 20, de Gruyter, Berlin, New York 1995) vi + 601pp., 3 11 012105 0, about £140. [PDF]
Proceedings of the Edinburgh Mathematical Society, 1996 openaire +1 more source
Representations of hypergroups and harmonic analysis (Various Issues relating to Representation Theory and Non-commutative Harmonic Analysis)ハイパー群Hとその部分ハイパー群H_{0}のペア(H, H_{0})に付随して得られるハイパー群mathcal{K}(hat{H}cuphat{H_{0}})について考察する。mathcal{K}(hat{H}cuphat{H_{0}})のconvolutionは既約表現の誘導と制限を用いて与える. ここでは、次の3つのケースについて説明する. (A) compact groups. (B) compact hypergroups. (C) commutative hypergroups. ハイパー群(hypergroup)は、局所コンパクト群を確率論的に一般化した概念であり、表現論との関連では、コンパクト群の双対がハイパー群の構造を持っている。素粒子(純粋状態)を群の既約表現と解釈する時 ...
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Harmonic Analysis and Hypergroups
1998An underlying theme in this text is the notion of hypergroups, the theory of which has been developed and used in fields as diverse as special functions, differential equations, probability theory, representation theory, measure theory, Hopf algebras, and quantum groups.
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HARMONIC ANALYSIS ON HYPERGROUPS
AIP Conference Proceedings, 2010The main task in this article is to give the necessary and sufcient conditions guarantees that the product of two positive definite functions defined on a hypergroup X is also positive definite on X. Also, we prove that a continuous function with compact support ψ is negative definite if and only if exp(‐tψ) is positive definite for each t>0. Moreover,
A. S. Okb El Bab, Hossam. A. Ghany
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Harmonic analysis on compact commutative hypergroups: The role of the maximum subgroup
Journal d'Analyse Mathématique, 2000This paper contains two well differentiated parts. The first part contains a revision of the axioms defining a hypergroup. In the classical definition of hypergroups (often called DJS-hypergroups after Dunkl, Jewett and Spector), the set \(\mathfrak{C}(K)\) of all compact subsets of a locally compact space \(X\) is endowed with the Michael topology and
Gebuhrer, Oliver, Schwartz, Alan L.
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Harmonic Analysis of Probability Measures on Hypergroups
1995A systematic presentation of the applications of the hypergroup method to problems in probability theory that deals exclusively with topological hypergroups, focusing on those that are commutative. It considers hypergroups as locally compact spaces with a group-like structure on which the bounded measures convolve in a similar way to that on a locally ...
Bloom, W.R., Heyer, H.
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