Characterizations of Orthogonal Polynomials and Harmonic Analysis on Polynomial Hypergroups [PDF]
, 2016 This work is located at a crossing point between orthogonal polynomials and harmonic analysis. We consider polynomial hypergroups, obtain general results on point and weak amenability of their l1-algebras and solve a problem concerning implications between certain amenability notions.
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Harmonic analysis on central hypergroups and induced representations [PDF]
Pacific Journal of Mathematics, 1984 Hauenschild, Wilfried +2 more
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Harmonic analysis on compact hypergroups [PDF]
Pacific Journal of Mathematics, 1979 openaire +3 more sources
New results on the continuous Weinstein wavelet transform. [PDF]
J Inequal Appl, 2017 Mejjaoli H, Ould Ahmed Salem A.
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L1-algebras on commutative hypergroups: Structure and properties arising from harmonic analysis
, 2012 This thesis is concerned with L1-algebras on commutative hypergroups. Hypergroups generalize the class of locally compact groups, roughly speaking by admitting a probability measure-valued ‘hypergroup operation’ instead of the group operation. One chapter deals with spectral properties of the action of the L1-algebra of a commutative hypergroup on the ...
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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
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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