Positivity of the transmutation operators associated with a Cherednik type operator on the real line

DOI10.1515/APAM-2012-0206zbMath1270.47023OpenAlexW2328925813MaRDI QIDQ4916979

Khalifa Trimèche

Publication date: 26 April 2013

Published in: Advances in Pure and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/apam-2012-0206

zbMATH Keywords

positivitytransmutation operatorsdifferential-difference operatorsCherednik type operators

Mathematics Subject Classification ID

Other functions coming from differential, difference and integral equations (33E30) Difference operators (39A70) Kernel operators (47B34) Spectral theory of functional-differential operators (34K08)

Related Items (6)

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 ⋮ \(L^p\) harmonic analysis for differential-reflection operators ⋮ On the range of the generalized Fourier transform associated with a Cherednick type operator on the real line ⋮ An Introduction to Dunkl Theory and Its Analytic Aspects ⋮ Cowling-Price's and Hardy's uncertainty principles for the generalized Fourier transform associated to a Cherednik type operator on the real line

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