Some Results for the Jacobi-Dunkl Transform in the Space $L^{p}(mathbb{R},A_{alpha,beta}(x)dx)$

DOI10.22080/CJMS.2017.1631zbMath1474.42102OpenAlexW2780697003MaRDI QIDQ4994730

Radouan Daher, Salah El Ouadih

Publication date: 21 June 2021

Full work available at URL: http://cjms.journals.umz.ac.ir/article_1631_77f108f2dc8bdc10d01f80291334a83d.pdf

zbMATH Keywords

Jacobi-Dunkl transformJacobi-Dunkl operatorgeneralized Jacobi-Dunkl translation

Mathematics Subject Classification ID

Harmonic analysis and PDEs (42B37)

Related Items (1)

A new aspect of generalized integral operator and an estimation in a generalized function theory

Cites Work

• Convolution structure associated with the Jacobi-Dunkl operator on \(\mathbb R\)
• Growth properties of Fourier transforms via moduli of continuity
• A new proof of a Paley-Wiener type theorem for the Jacobi transform
• The Jacobi-Dunkl transform on \(\mathbb R\) and the convolution product on new spaces of distributions
• POSITIVITY OF THE INTERTWINING OPERATOR AND HARMONIC ANALYSIS ASSOCIATED WITH THE JACOBI-DUNKL OPERATOR ON ${\mathbb R}$
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