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

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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.

Keywords:

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

10.4208/ata.2013.v29.n4.1

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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