The hypergroup associated with the Cherednik operators and applications to the infinitely divisible probabilities and convolution semigroups
DOI10.1007/S00009-017-0951-5zbMath1375.33024OpenAlexW2698195268MaRDI QIDQ1679151
Publication date: 8 November 2017
Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00009-017-0951-5
hypergroupCherednik operatorsconvolution semigroupsLevy's continuity theoreminfinitely divisible probabilities
Harmonic analysis on hypergroups (43A62) Other functions coming from differential, difference and integral equations (33E30) Other transforms and operators of Fourier type (43A32) Reflection groups, reflection geometries (51F15) Hypergeometric functions associated with root systems (33C67)
Cites Work
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- The positivity of the hypergeometric translation operators associated to the Cherednik operators and the Heckman-Opdam theory on \(\mathbb{R}^d\)
- Harmonic analysis of probability measures on hypergroups
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- Harmonic analysis associated with the Cherednik operators and the Heckman–Opdam theory
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- The trigonometric Dunkl intertwining operator and its dual associated with the Cherednik operators and the Heckman–Opdam theory
- The Measure Algebra of a Locally Compact Hypergroup
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