Generalized laplacians and levy-khintchine formula fork-variable continuous polynomial hypergroups

DOI10.1080/10652469908819232zbMath0956.43003OpenAlexW1981611243MaRDI QIDQ4500506

Kamel Mokni, Khalifa Trimèche

Publication date: 27 August 2000

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652469908819232

zbMATH Keywords

polynomial hypergroupgeneralized LaplaciansLévy-Khintchine representationspositive and negative definite sequences

Mathematics Subject Classification ID

Harmonic analysis on hypergroups (43A62) General harmonic expansions, frames (42C15) Positive definite functions in one variable harmonic analysis (42A82) Positive definite functions on groups, semigroups, etc. (43A35)

Cites Work

• Bochner theorems for hypergroups and their applications to orthogonal polynomial expansions
• Polynomial hypergroups in several variables
• Product formulas and associated hypergroups for orthogonal polynomials on the simplex and on a parabolic biangle
• Central limit theorem and infinitely divisible probabilities associated with partial differential operators
• Semi-groupes de mesures complexes et calcul symbolique sur les générateurs infinitesimaux de semi-groupes d'opérateurs
• Positivity and the convolution structure for Jacobi series
• Banach algebras for Jacobi series and positivity of a kernel
• Positive Definite and Related Functions on Hypergroups
• Positive Zonal Functions on Spheres

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