Positivity of Dunkl's intertwining operator
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Publication:1974932
DOI10.1215/S0012-7094-99-09813-7zbMath0947.33013arXivq-alg/9710029MaRDI QIDQ1974932
Publication date: 27 March 2000
Published in: Duke Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/q-alg/9710029
Special integral transforms (Legendre, Hilbert, etc.) (44A15) Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Hypergeometric functions associated with root systems (33C67)
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- Generalized Hermite polynomials and the heat equation for Dunkl operators
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- Biorthogonal polynomials associated with reflection groups and a formula of Macdonald
- The Dunkl transform
- Confluent hypergeometric orthogonal polynomials related to the rational quantum Calogero system with harmonic confinement
- Harmonic analysis for certain representations of graded Hecke algebras
- Exact operator solution of the Calogero-Sutherland model
- Nonsymmetric Jack polynomials and integral kernels
- An elementary approach to the hypergeometric shift operators of Opdam
- Differential-Difference Operators Associated to Reflection Groups
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- Integral Kernels with Reflection Group Invariance
- Singular Polynomials for Finite Reflection Groups
- Orthogonal Polynomials for a Family of Product Weight Functions on the Spheres
- Integration of the intertwining operator for $h$-harmonic polynomials associated to reflection groups
- Lectures on affine Hecke algebras and Macdonald’s conjectures
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