Uncertainty principles for the Weinstein transform

Hatem Mejjaoli; Makren Salhi

Czechoslovak Mathematical Journal (2011)

  • Volume: 61, Issue: 4, page 941-974
  • ISSN: 0011-4642

Abstract

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The Weinstein transform satisfies some uncertainty principles similar to the Euclidean Fourier transform. A generalization and a variant of Cowling-Price theorem, Miyachi's theorem, Beurling's theorem, and Donoho-Stark's uncertainty principle are obtained for the Weinstein transform.

How to cite

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Mejjaoli, Hatem, and Salhi, Makren. "Uncertainty principles for the Weinstein transform." Czechoslovak Mathematical Journal 61.4 (2011): 941-974. <http://eudml.org/doc/197119>.

@article{Mejjaoli2011,
abstract = {The Weinstein transform satisfies some uncertainty principles similar to the Euclidean Fourier transform. A generalization and a variant of Cowling-Price theorem, Miyachi's theorem, Beurling's theorem, and Donoho-Stark's uncertainty principle are obtained for the Weinstein transform.},
author = {Mejjaoli, Hatem, Salhi, Makren},
journal = {Czechoslovak Mathematical Journal},
keywords = {Weinstein transform; Hardy's type theorem; Cowling-Price's theorem; Beurling's theorem; Miyachi's theorem; Donoho-Stark's uncertainty principle; Weinstein transform; Hardy's type theorem; Cowling-Price's theorem; Beurling's theorem; Miyachi's theorem; Donoho-Stark's uncertainty principle},
language = {eng},
number = {4},
pages = {941-974},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Uncertainty principles for the Weinstein transform},
url = {http://eudml.org/doc/197119},
volume = {61},
year = {2011},
}

TY - JOUR
AU - Mejjaoli, Hatem
AU - Salhi, Makren
TI - Uncertainty principles for the Weinstein transform
JO - Czechoslovak Mathematical Journal
PY - 2011
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 61
IS - 4
SP - 941
EP - 974
AB - The Weinstein transform satisfies some uncertainty principles similar to the Euclidean Fourier transform. A generalization and a variant of Cowling-Price theorem, Miyachi's theorem, Beurling's theorem, and Donoho-Stark's uncertainty principle are obtained for the Weinstein transform.
LA - eng
KW - Weinstein transform; Hardy's type theorem; Cowling-Price's theorem; Beurling's theorem; Miyachi's theorem; Donoho-Stark's uncertainty principle; Weinstein transform; Hardy's type theorem; Cowling-Price's theorem; Beurling's theorem; Miyachi's theorem; Donoho-Stark's uncertainty principle
UR - http://eudml.org/doc/197119
ER -

References

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