ABSOLUTE CONTINUITY OF THE REPRESENTING MEASURES OF THE HYPERGEOMETRIC TRANSLATION OPERATORS ATTACHED TO THE ROOT SYSTEM OF TYPE B2AND C2

DOI10.11568/kjm.2014.22.4.711zbMath1462.33005OpenAlexW2051896075MaRDI QIDQ5217557

Khalifa Trimèche

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.2014.22.4.711

zbMATH Keywords

Cherednik operatorshypergeometric translation operatorsHeckman-Opdam theoryabsolute continuity of the representing measures

Mathematics Subject Classification ID

Other functions coming from differential, difference and integral equations (33E30) Hypergeometric functions associated with root systems (33C67)

Related Items (1)

GENERALIZED WAVELETS AND THE GENERALIZED WAVELET TRANSFORM ON ℝ^dFOR THE HECKMAN-OPDAM THEORY

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 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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