Uncertainty principles for the Weinstein transform
Czechoslovak Mathematical Journal, Tome 61 (2011) no. 4, pp. 941-974
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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.
DOI :
10.1007/s10587-011-0061-7
Classification :
35B53, 43A32, 44A05, 44A20
Keywords: Weinstein transform; Hardy's type theorem; Cowling-Price's theorem; Beurling's theorem; Miyachi's theorem; Donoho-Stark's uncertainty principle
Keywords: Weinstein transform; Hardy's type theorem; Cowling-Price's theorem; Beurling's theorem; Miyachi's theorem; Donoho-Stark's uncertainty principle
@article{10_1007_s10587_011_0061_7,
author = {Mejjaoli, Hatem and Salhi, Makren},
title = {Uncertainty principles for the {Weinstein} transform},
journal = {Czechoslovak Mathematical Journal},
pages = {941--974},
publisher = {mathdoc},
volume = {61},
number = {4},
year = {2011},
doi = {10.1007/s10587-011-0061-7},
mrnumber = {2886249},
zbl = {1249.35034},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.1007/s10587-011-0061-7/}
}
TY - JOUR AU - Mejjaoli, Hatem AU - Salhi, Makren TI - Uncertainty principles for the Weinstein transform JO - Czechoslovak Mathematical Journal PY - 2011 SP - 941 EP - 974 VL - 61 IS - 4 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.1007/s10587-011-0061-7/ DO - 10.1007/s10587-011-0061-7 LA - en ID - 10_1007_s10587_011_0061_7 ER -
%0 Journal Article %A Mejjaoli, Hatem %A Salhi, Makren %T Uncertainty principles for the Weinstein transform %J Czechoslovak Mathematical Journal %D 2011 %P 941-974 %V 61 %N 4 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.1007/s10587-011-0061-7/ %R 10.1007/s10587-011-0061-7 %G en %F 10_1007_s10587_011_0061_7
Mejjaoli, Hatem; Salhi, Makren. Uncertainty principles for the Weinstein transform. Czechoslovak Mathematical Journal, Tome 61 (2011) no. 4, pp. 941-974. doi: 10.1007/s10587-011-0061-7
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