Spectrum of functions and distributions for the Jacobi-Dunkl transform on \(\mathbb R\)

DOI10.1007/s00009-012-0206-4zbMath1281.42007OpenAlexW2058656085MaRDI QIDQ1949844

Hatem Mejjaoli

Publication date: 17 May 2013

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-012-0206-4

zbMATH Keywords

Roe's theoremreal Paley-Wiener theoremJacobi-Dunkl transformJacobi-Dunkl operator

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38)

Related Items (4)

Spectral theorems associated with the Jacobi-Cherednik operator ⋮ Real Paley-Wiener theorems for the Clifford Fourier transform ⋮ Fractional Jacobi-Dunkl transform: properties and application ⋮ Characterization of the support for the hypergeometric Fourier transform of the \(W\)-invariant functions and distributions on \(\mathbb R ^d\) and Roe's theorem

Cites Work

• Unnamed Item
• Unnamed Item
• Convolution structure associated with the Jacobi-Dunkl operator on \(\mathbb R\)
• Paley-Wiener-type theorems for a class of integral transforms
• On the range of the Chébli-Trimèche transform
• Characterization of Eigenfunctions of the Laplacian by Boundedness Conditions
• A Property of Infinitely Differentiable Functions
• Real Paley–Wiener theorems and local spectral radius formulas
• A characterization of the sine function
• Tempered distributions with spectral gaps
• TRANSMUTATION OPERATORS AND PALEY–WIENER THEOREM ASSOCIATED WITH A SINGULAR DIFFERENTIAL-DIFFERENCE OPERATOR ON THE REAL LINE
• POSITIVITY OF THE INTERTWINING OPERATOR AND HARMONIC ANALYSIS ASSOCIATED WITH THE JACOBI-DUNKL OPERATOR ON ${\mathbb R}$
• AN ANALOGUE OF COWLING–PRICE'S THEOREM AND HARDY'S THEOREM FOR THE GENERALIZED FOURIER TRANSFORM ASSOCIATED WITH THE SPHERICAL MEAN OPERATOR

This page was built for publication: Spectrum of functions and distributions for the Jacobi-Dunkl transform on \(\mathbb R\)