Qualitative uncertainty principles for the generalized Fourier transform associated to a Dunkl type operator on the real line

Hatem Mejjaoli; Khalifa Trimeche

doi:10.1007/s13324-015-0111-7

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Qualitative uncertainty principles for the generalized Fourier transform associated to a Dunkl type operator on the real line

Journal article

Peer reviewed

Qualitative uncertainty principles for the generalized Fourier transform associated to a Dunkl type operator on the real line

Hatem Mejjaoli and Khalifa Trimeche

Analysis and mathematical physics, Vol.6(2), pp.141-162

01/06/2016

DOI: https://doi.org/10.1007/s13324-015-0111-7

Abstract

Mathematics

Mathematics, Applied

Physical Sciences

Science & Technology

In this paper, we prove various mathematical aspects of the qualitative uncertainty principle, including Hardy's, Cowling-Price's theorem, Morgan's theorem, Beurling, Gelfand-Shilov, Miyachi theorems.

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Title: Qualitative uncertainty principles for the generalized Fourier transform associated to a Dunkl type operator on the real line
Creators - without role: Hatem Mejjaoli - Taibah University
Khalifa Trimeche - Tunis University
Publication Details: Analysis and mathematical physics, Vol.6(2), pp.141-162
Publisher: Springer Nature
Number of pages: 22
Grant note: 6874 / Deanship of Scientific Research at the University of Taibah University
Identifiers: 9929893108331
Academic Unit: Taibah University
Language: English
Resource Type: Journal article