THE POSITIVITY OF THE HYPERGEOMETRIC TRANSLATION OPERATORS ASSOCIATED TO THE CHEREDNIK OPERATORS AND THE HECKMAN-OPDAM THEORY ATTACHED TO THE ROOT SYSTEM OF TYPE $BC_2$

DOI10.12732/ijam.v29i6.4zbMath1367.33016OpenAlexW2584506507MaRDI QIDQ5267714

Khalifa Trimèche

Publication date: 13 June 2017

Published in: International Journal of Apllied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.12732/ijam.v29i6.4

zbMATH Keywords

Cherednik operatorsproduct formulaHeckman-Opdam hypergeometric functionhypergeometric translation operatorsOpdam-Cherednik kernelHeckman-Opdam theoryroot systems of type \(BC_2\)

Mathematics Subject Classification ID

Hypergeometric functions associated with root systems (33C67)

Related Items (1)

The Wigner and Weyl transforms attached to the Heckman-Opdam-Jacobi theory on \(\mathbb{R}^{d+1}\)

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