Uncertainty Principles for the Generalized Fourier Transform Associated with Spherical Mean Operator

The aim of this paper is to establish an extension of qualitative and quan-titative uncertainty principles for the Fourier transform connected with the spherical mean operator.

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Bibliographic Details
Published inAnalysis in theory & applications Vol. 29; no. 4; pp. 309 - 332
Main Author Othmani, H. Mejjaoli and Y.
Format Journal Article
LanguageEnglish
Published Taibah University, College of Sciences, Department of Mathematics, P0 B0X 30002, Al Madinah AL Munawarah, Saudi Arabia%Department of Mathematics, Faculty of sciences of Tunis-CAMPUS-1060, Tunis, Tunisia 01.06.2013
Subjects
Generalized Fourier transform
Hardy’s type theorem
Cowling-Price’s theorem
Donoho-Stark’s uncertainty principle
Beurling’s theorem
Miyachi’s theorem
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Summary:The aim of this paper is to establish an extension of qualitative and quan-titative uncertainty principles for the Fourier transform connected with the spherical mean operator.
ISSN:1672-4070
1573-8175
DOI:10.4208/ata.2013.v29.n4.1