Poisson integrals associated to Dunkl operators for dihedral groups

DOI10.1090/S0002-9939-04-07703-2zbMath1067.30078MaRDI QIDQ4654119

Florence Scalas

Publication date: 1 March 2005

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Laplace operatorPoisson integralDunkl differential-difference operator

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in two dimensions (31A05) Boundary value problems in the complex plane (30E25) Integral representations, integral operators, integral equations methods in two dimensions (31A10) Boundary behavior (theorems of Fatou type, etc.) of harmonic functions in two dimensions (31A20)

Related Items

The Dunkl-Coulomb problem in the plane ⋮ Harmonic functions associated to Dunkl operators ⋮ Nontangential limits of Poisson integrals associated to Dunkl operators for dihedral groups

Cites Work

• Poisson and Cauchy kernels for orthogonal polynomials with dihedral symmetry
• Generalized Hermite polynomials and the heat equation for Dunkl operators
• Differential-Difference Operators Associated to Reflection Groups
• Unnamed Item