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HARMONIC ANALYSIS ON HYPERGROUPS
AIP Conference Proceedings, 2010 The 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, 2000 This 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
, 1995 A 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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HARMONIC ANALYSIS OF PROBABILITY MEASURES ON HYPERGROUPS (Studies in Mathematics 20)
Bulletin of the London Mathematical Society, 1996 Michael S. Bingham
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Harmonic analysis and spectral synthesis in central hypergroups
Mathematische Annalen, 1988 Matthias Vogel
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