Radial Dunkl Processes Associated with Dihedral Systems

DOI10.1007/978-3-642-01763-6_6zbMath1181.33009arXiv0812.4002OpenAlexW1520160295MaRDI QIDQ3653079

Nizar Demni

Publication date: 18 December 2009

Published in: Lecture Notes in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0812.4002

zbMATH Keywords

generalized Bessel functionCoxeter groupsgeneralized Hermite polynomialsroot systemsBessel processesreduced root system

Mathematics Subject Classification ID

Generalized hypergeometric series, ({}_pF_q) (33C20) Orthogonal polynomials and functions associated with root systems (33C52)

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Generalized Bessel functions of dihedral-type: expression as a series of confluent Horn functions and Laplace-type integral representation ⋮ Affine Dunkl processes of type \(\widetilde{\mathrm{A}}_{1}\) ⋮ On Segal--Bargmann analysis for finite Coxeter groups and its heat kernel ⋮ Dunkl kernel associated with dihedral groups ⋮ Limit theorems for multivariate Bessel processes in the freezing regime ⋮ First hitting time of the boundary of a wedge of angle $\pi/4$ by a radial Dunkl process

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