Absolute continuity of the representing measures of the Dunkl intertwining operator and of its dual and applications
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Publication:3576333
DOI10.1515/APAM.2010.012zbMath1195.33211OpenAlexW2038509289MaRDI QIDQ3576333
Publication date: 30 July 2010
Published in: Advances in Pure and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/apam.2010.012
Special integral transforms (Legendre, Hilbert, etc.) (44A15) Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Reflection groups, reflection geometries (51F15)
Related Items
Cites Work
- The Dunkl transform
- Confluent hypergeometric orthogonal polynomials related to the rational quantum Calogero system with harmonic confinement
- Asymptotic analysis for the Dunkl kernel
- Harmonic analysis for certain representations of graded Hecke algebras
- Exact operator solution of the Calogero-Sutherland model
- Positivity of Dunkl's intertwining operator
- A unification of Knizhnik-Zamolodchikov and Dunkl operators via affine Hecke algebras
- Convolution operator and maximal function for the Dunkl transform
- An elementary approach to the hypergeometric shift operators of Opdam
- Integral Kernels with Reflection Group Invariance
- Integration of the intertwining operator for $h$-harmonic polynomials associated to reflection groups
- Common algebraic structure for the Calogero - Sutherland models
- The dunkel intertwining operator on spaces of functions and distributions and integral representation of its dual
- Dunkl Operator Formalism for Quantum Many-Body Problems Associated with Classical Root Systems
- Paley-Wiener Theorems for the Dunkl Transform and Dunkl Translation Operators
- A positive radial product formula for the Dunkl kernel
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