Spectrum of Functions and Distributions for the Jacobi-Dunkl Transform on

Hatem Mejjaoli

doi:10.1007/s00009-012-0206-4

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Spectrum of Functions and Distributions for the Jacobi-Dunkl Transform on

Journal article

Peer reviewed

Spectrum of Functions and Distributions for the Jacobi-Dunkl Transform on

Hatem Mejjaoli

Mediterranean journal of mathematics, Vol.10(2), pp.753-778

01/05/2013

DOI: https://doi.org/10.1007/s00009-012-0206-4

Abstract

Article

general

Mathematics

Mathematics and Statistics

We establish real Paley-Wiener theorems for the Jacobi-Dunkl transform on . More precisely, we characterize the functions in the generalized Schwartz space and in whose Jacobi-Dunkl transform has bounded, unbounded, convex and nonconvex support. Finally, we study the spectral problem on the generalized tempered distributions .

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Title: Spectrum of Functions and Distributions for the Jacobi-Dunkl Transform on
Creators - without role: Hatem Mejjaoli - King Faisal University
Publication Details: Mediterranean journal of mathematics, Vol.10(2), pp.753-778
Publisher: SP Birkhäuser Verlag Basel
Identifiers: 9930358208331
Academic Unit: Taibah University
Language: English
Resource Type: Journal article