Hypergroups and hypergroup algebras

DOI10.1007/BF01088201zbMath0628.43009arXiv1109.6596OpenAlexW2963926707MaRDI QIDQ1093121

Grigori L. Litvinov

Publication date: 1987

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1109.6596

zbMATH Keywords

surveyhypergroupdifferential operatorsprobability measureinvolutionhypercomplex systemgeneralized translation operatorsconvolution for distributionslist of 183 references

Mathematics Subject Classification ID

Abstract harmonic analysis (43A99) Group structures and generalizations on infinite-dimensional manifolds (58B25)

Related Items (14)

Hyperstructures of affine algebraic group schemes ⋮ On the dual of a commutative signed hypergroup ⋮ Duality of algebras with an involution and generalized shift operators ⋮ HYPERGROUP ALGEBRAS AS TOPOLOGICAL ALGEBRAS ⋮ The Wiener property for a class of discrete hypergroups ⋮ Algebraic geometry over hyperrings ⋮ Integral geometry, hypergroups, and Gelfand's question ⋮ On unitary hypergroups over the group ⋮ A unified construction of product formulas and convolutions for Sturm-Liouville operators ⋮ Analysis of a Class of Probability Preserving Measure Algebras on Compact Intervals ⋮ Conway topograph, -dynamics and two-valued groups ⋮ Generalized hypergroups and orthogonal polynomials ⋮ Strong hypergroups of order three ⋮ A positivity result and normalization of positive convolution structures

Cites Work

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