
arXiv: 1109.6596
The survey contains a brief description of the ideas, constructions, results, and prospects of the theory of hypergroups and generalized translation operators. Representations of hypergroups are considered, being treated as continuous representations of topological hypergroup algebras.
52 pages
convolution for distributions, Group structures and generalizations on infinite-dimensional manifolds, generalized translation operators, 43A62, 46H15, 43A45, 43A65, Functional Analysis (math.FA), hypergroup, Mathematics - Functional Analysis, probability measure, hypercomplex system, list of 183 references, differential operators, involution, FOS: Mathematics, survey, Representation Theory (math.RT), Abstract harmonic analysis, Mathematics - Representation Theory
convolution for distributions, Group structures and generalizations on infinite-dimensional manifolds, generalized translation operators, 43A62, 46H15, 43A45, 43A65, Functional Analysis (math.FA), hypergroup, Mathematics - Functional Analysis, probability measure, hypercomplex system, list of 183 references, differential operators, involution, FOS: Mathematics, survey, Representation Theory (math.RT), Abstract harmonic analysis, Mathematics - Representation Theory
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