LÉVY–KHINTCHINE REPRESENTATION ON LOCAL STURM–LIOUVILLE HYPERGROUPS

DOI10.1142/S0219025799000059zbMath0932.43008OpenAlexW2147575398MaRDI QIDQ4269408

Christian Rentzsch

Publication date: 29 November 1999

Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219025799000059

zbMATH Keywords

generatorsLévy-Khintchine formulaconvolution semigroupslocal Sturm-Liouville hypergroups

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Harmonic analysis on hypergroups (43A62)

Related Items (2)

Hypergroups and quantum Bessel processes of non-integer dimensions ⋮ Martingale characterizations of increment processes in a commutative hypergroup

Cites Work

• One-dimensional hypergroups
• Bounded \(K\)-spherical functions on Heisenberg groups
• Moment functions and laws of large numbers on hypergroups
• A convolution measure algebra on the unit disc
• Spaces with an abstract convolution of measures
• Spherical functions on a simply connected semisimple Lie groups. II: The Paley-Wiener theorem for the rank one case
• Central limit theorems for Markov processes associated with Laguerre polynomials
• Central limit theorem and infinitely divisible probabilities associated with partial differential operators
• The Addition Formula for Laguerre Polynomials

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