Volume 29, Issue 4
Uncertainty Principles for the Generalized Fourier Transform Associated with Spherical Mean Operator

H. Mejjaoli & Y. Othmani

Anal. Theory Appl., 29 (2013), pp. 309-332

Published online: 2013-11

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  • Abstract

The aim of this paper is to establish anextension of qualitative and quantitativeuncertainty principles forthe 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

  • AMS Subject Headings

43A32 42B10

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{ATA-29-309, author = {H. Mejjaoli and Y. Othmani}, title = {Uncertainty Principles for the Generalized Fourier Transform Associated with Spherical Mean Operator}, journal = {Analysis in Theory and Applications}, year = {2013}, volume = {29}, number = {4}, pages = {309--332}, abstract = { The aim of this paper is to establish anextension of qualitative and quantitativeuncertainty principles forthe Fourier transform connected with the spherical mean operator.}, issn = {1573-8175}, doi = {https://doi.org/10.4208/ata.2013.v29.n4.1}, url = {http://global-sci.org/intro/article_detail/ata/4526.html} }
TY - JOUR T1 - Uncertainty Principles for the Generalized Fourier Transform Associated with Spherical Mean Operator AU - H. Mejjaoli & Y. Othmani JO - Analysis in Theory and Applications VL - 4 SP - 309 EP - 332 PY - 2013 DA - 2013/11 SN - 29 DO - http://dor.org/10.4208/ata.2013.v29.n4.1 UR - https://global-sci.org/intro/article_detail/ata/4526.html KW - Generalized Fourier transform KW - Hardy's type theorem KW - Cowling-Price's theorem KW - Beurling's theorem KW - Miyachi's theorem KW - Donoho-Stark's uncertainty principle AB - The aim of this paper is to establish anextension of qualitative and quantitativeuncertainty principles forthe Fourier transform connected with the spherical mean operator.
H. Mejjaoli & Y. Othmani. (1970). Uncertainty Principles for the Generalized Fourier Transform Associated with Spherical Mean Operator. Analysis in Theory and Applications. 29 (4). 309-332. doi:10.4208/ata.2013.v29.n4.1
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