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

H. Mejjaoli & Y. Othmani

doi:10.4208/ata.2013.v29.n4.1

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

Authors

H. Mejjaoli & Y. Othmani

DOI:

https://doi.org/10.4208/ata.2013.v29.n4.1

Keywords:

Generalized Fourier transform, Hardy's type theorem, Cowling-Price's theorem, Beurling's theorem, Miyachi's theorem, Donoho-Stark's uncertainty principle.

Abstract

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

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Published

2013-11-02

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Issue

Vol. 29 No. 4 (2013)

Section

Articles

How to Cite

Uncertainty Principles for the Generalized Fourier Transform Associated with Spherical Mean Operator. (2013). Analysis in Theory and Applications, 29(4), 309-332. https://doi.org/10.4208/ata.2013.v29.n4.1