Geodesic
Minimization of the Uncertainty Constant of the Family of Meyer Wavelets
Matematičeskie zametki, Tome 81 (2007) no. 4, pp. 553-560.

Voir la notice de l'article provenant de la source Math-Net.Ru

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 
@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/}
}
TY  - JOUR
AU  - E. A. Lebedeva
TI  - Minimization of the Uncertainty Constant of the Family of Meyer Wavelets
JO  - Matematičeskie zametki
PY  - 2007
SP  - 553
EP  - 560
VL  - 81
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MZM_2007_81_4_a8/
LA  - ru
ID  - MZM_2007_81_4_a8
ER  - 
%0 Journal Article
%A E. A. Lebedeva
%T Minimization of the Uncertainty Constant of the Family of Meyer Wavelets
%J Matematičeskie zametki
%D 2007
%P 553-560
%V 81
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MZM_2007_81_4_a8/
%G ru
%F 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/

[1] Y. Meyer, “Principe d'incertitude, bases Hilbertiennes et algèbras d'opérateurs”, Seminaire Bourbaki, Astérisque, 145–146, Paris, 1987, 209–223 | MR | Zbl

[2] I. Daubechies, Ten Lectures on Wavelets, CBMS-NSF Series in Applied Mathematics, SIAM, Philadelphia, 1992 | MR | Zbl

[3] V. S. Buslaev, Variatsionnoe ischislenie, Izd-vo LGU, L., 1980 | Zbl

[4] G. Battle, “Heisenberg inequalities for wavelets states”, Appl. Comp. Harm. Analysis., 4 (1997), 119–146 | DOI | MR | Zbl

[5] S. B. Stechkin, Yu. N. Subbotin, Splainy v vychislitelnoi matematike, Nauka, M., 1976 | MR | Zbl