The Dunkl-Laplace transform and Macdonald’s hypergeometric series
From MaRDI portal
Publication:5881735
DOI10.1090/tran/8860OpenAlexW4310422506MaRDI QIDQ5881735
Dominik Brennecken, Margit Rösler
Publication date: 13 March 2023
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2202.12164
Symmetric functions and generalizations (05E05) Harmonic analysis on homogeneous spaces (43A85) Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Hypergeometric functions associated with root systems (33C67) Orthogonal polynomials and functions associated with root systems (33C52)
Related Items
New orthogonality relations for super-Jack polynomials and an associated Lassalle-Nekrasov correspondence ⋮ Hankel transform, \(\mathcal{K}\)-Bessel functions and zeta distributions in the Dunkl setting
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Bessel functions of matrix argument
- Analysis on the crown domain
- Generalized Hermite polynomials and the heat equation for Dunkl operators
- Markov processes related with Dunkl operators
- The Dunkl transform
- A recursion and a combinatorial formula for Jack polynomials
- The Calogero-Sutherland model and generalized classical polynomials
- The Selberg-Jack symmetric functions
- Some combinatorial properties of Jack symmetric functions
- Harmonic analysis for certain representations of graded Hecke algebras
- The binomial formula for nonsymmetric Macdonald polynomials
- Nonsymmetric Jack polynomials and integral kernels
- Riesz distributions and Laplace transform in the Dunkl setting of type A
- Contributions to the hypergeometric function theory of Heckman and Opdam: Sharp estimates, Schwartz space, heat kernel
- Biorthogonal expansion of non-symmetric Jack functions
- Limit transition between hypergeometric functions of type BC and type A
- Special Functions of Matrix Argument. I: Algebraic Induction, Zonal Polynomials, and Hypergeometric Functions
- Selberg Integrals and Hypergeometric Functions Associated with Jack Polynomials
- Encyclopedia of Special Functions: The Askey-Bateman Project
- Differential-Difference Operators Associated to Reflection Groups
- Integral Kernels with Reflection Group Invariance
- Orthogonal Polynomials of Several Variables
- Some Non-Central Distribution Problems in Multivariate Analysis
- Probability theory. A comprehensive course