On the dual of a commutative signed hypergroup

DOI10.1007/BF02567812zbMath0844.43006MaRDI QIDQ1911207

Margit Rösler

Publication date: 26 August 1996

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/156117

zbMATH Keywords

Gelfand pairsharmonic analysisBessel functionshypergroupsgrowth conditionsHeisenberg groupsconvolution algebrasdual spacesmeasure algebraspositive definite measuresDunkl operatorsJacobi functionscommutative signed hypergroupsgeneralized Plancherel theoremLaguerre convolutionsprobability preservingsigned Laguerre hypergroups

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Harmonic analysis on hypergroups (43A62) Positive definite functions on groups, semigroups, etc. (43A35) Group algebras of locally compact groups (22D15)

Related Items (2)

Applications and aspects of random measures ⋮ Reiter's condition \((P_{2})\) and hypergroup representations

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