Singularities and analytic continuation of the Dunkl and the Jacobi-Cherednik intertwining operators and their duals

DOI10.1016/J.JMAA.2012.06.007zbMath1267.47020OpenAlexW1986955748MaRDI QIDQ450972

Khalifa Trimèche, Léonard Gallardo

Publication date: 26 September 2012

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2012.06.007

zbMATH Keywords

intertwining operatorWeyl operatoranalytic continuationRiemann-Liouville operatorDunkl operatorintertwining dual operatorJacobi-Cherednik operatoroperator-valued holomorphic functions

Mathematics Subject Classification ID

Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Linear operators on function spaces (general) (47B38) Analytic continuation of functions of one complex variable (30B40)

Related Items (3)

Intertwining operators associated to a family of differential-reflection operators ⋮ An elementary proof of the positivity of the intertwining operator in one-dimensional trigonometric Dunkl theory ⋮ The Wigner and Weyl transforms attached to the Heckman-Opdam-Jacobi theory on \(\mathbb{R}^{d+1}\)

Cites Work

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