Convolution semigroups on hypergroups

DOI10.2140/pjm.1987.127.353zbMath0652.43001OpenAlexW1591125299MaRDI QIDQ1107055

Rupert Lasser

Publication date: 1987

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

Full work available at URL: https://doi.org/10.2140/pjm.1987.127.353

zbMATH Keywords

representation theoremorthogonal polynomialsGelfand pairsquadratic formsBessel functionsnegative definite functionsconvolution semigroupsabelian hypergroupsbounded charactersbounded complex Borel measuresLevy-Hinčin representationLocally compact abelian groupssymmetric Levy measure

Mathematics Subject Classification ID

Representations of groups, semigroups, etc. (aspects of abstract harmonic analysis) (43A65) Harmonic analysis and spherical functions (43A90) Other topological algebraic systems and their representations (22A30) Positive definite functions on groups, semigroups, etc. (43A35) Measure algebras on groups, semigroups, etc. (43A10) Locally compact abelian groups (LCA groups) (22B99)

Related Items (8)

Rates of convergence to Gaussian measures on \(n\)-spheres and Jacobi hypergroups ⋮ Laws of large numbers for polynomial hypergroups and some applications ⋮ Stochastic processes indexed by hypergroups. II ⋮ Harmonic functions on [IN and central hypergroups] ⋮ Moment functions and laws of large numbers on hypergroups ⋮ Twisted X-Rays: Incoming Waveforms Yielding Discrete Diffraction Patterns for Helical Structures ⋮ Semigroups of measures in non-commutative harmonic analysis ⋮ Convolution semigroups and central limit theorem associated with a dual convolution structure

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