THE POSITIVITY OF THE HYPERGEOMETRIC TRANSLATION OPERATORS ASSOCIATED TO THE CHEREDNIK OPERATORS AND THE HECKMAN-OPDAM THEORY ATTACHED TO THE ROOT SYSTEMS OF TYPE B2AND C2
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Publication:5217500
DOI10.11568/KJM.2014.22.1.1zbMath1488.42052OpenAlexW2064492286MaRDI QIDQ5217500
Publication date: 24 February 2020
Published in: Korean Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.11568/kjm.2014.22.1.1
Summability in several variables (42B08) Hypergeometric functions associated with root systems (33C67)
Related Items (4)
QUALITATIVE UNCERTAINTY PRINCIPLES FOR THE INVERSE OF THE HYPERGEOMETRIC FOURIER TRANSFORM ⋮ ABSOLUTE CONTINUITY OF THE REPRESENTING MEASURES OF THE HYPERGEOMETRIC TRANSLATION OPERATORS ATTACHED TO THE ROOT SYSTEM OF TYPE B2AND C2 ⋮ Qualitative uncertainty principles for the hypergeometric Fourier transform ⋮ On the range of the Opdam-Cherednik transform and Roe's theorem in the Cherednik setting
Cites Work
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- Harmonic analysis for certain representations of graded Hecke algebras
- A unification of Knizhnik-Zamolodchikov and Dunkl operators via affine Hecke algebras
- Contributions to the hypergeometric function theory of Heckman and Opdam: Sharp estimates, Schwartz space, heat kernel
- Harmonic analysis associated with the Cherednik operators and the Heckman–Opdam theory
- The trigonometric Dunkl intertwining operator and its dual associated with the Cherednik operators and the Heckman–Opdam theory
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