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

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

Year:    2013

Analysis in Theory and Applications, Vol. 29 (2013), Iss. 4 : pp. 309–332

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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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

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

Analysis in Theory and Applications, Vol. 29 (2013), Iss. 4 : pp. 309–332

Published online:    2013-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    24

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