Minimization of the Uncertainty Constant of the Family of Meyer Wavelets
Matematičeskie zametki, Tome 81 (2007) no. 4, pp. 553-560
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We obtain a simplified expression for the uncertainty constant of a Meyer wavelet. Using this expression, we find the lower bound of the uncertainty constant and construct the Ritz minimizing sequence.
Keywords:
Meyer wavelet, Ritz minimizing sequence, uncertainty constant, spline, Cauchy–Bunyakovskii inequality, Heisenberg uncertainty principle.
Mots-clés : Fourier transform
Mots-clés : Fourier transform
@article{MZM_2007_81_4_a8,
author = {E. A. Lebedeva},
title = {Minimization of the {Uncertainty} {Constant} of the {Family} of {Meyer} {Wavelets}},
journal = {Matemati\v{c}eskie zametki},
pages = {553--560},
publisher = {mathdoc},
volume = {81},
number = {4},
year = {2007},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_2007_81_4_a8/}
}
E. A. Lebedeva. Minimization of the Uncertainty Constant of the Family of Meyer Wavelets. Matematičeskie zametki, Tome 81 (2007) no. 4, pp. 553-560. http://geodesic.mathdoc.fr/item/MZM_2007_81_4_a8/