Periodic wavelets
Sbornik. Mathematics, Tome 188 (1997) no. 10, pp. 1481-1506
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Definitions of multiresolution analysis and wavelet decomposition for a wide range of quasi-Banach spaces of periodic distributions are suggested. Elementary properties of such MRAs are investigated. Economical algorithms of wavelet decomposition and reconstruction are presented.
@article{SM_1997_188_10_a2,
author = {A. P. Petukhov},
title = {Periodic wavelets},
journal = {Sbornik. Mathematics},
pages = {1481--1506},
publisher = {mathdoc},
volume = {188},
number = {10},
year = {1997},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_1997_188_10_a2/}
}
A. P. Petukhov. Periodic wavelets. Sbornik. Mathematics, Tome 188 (1997) no. 10, pp. 1481-1506. http://geodesic.mathdoc.fr/item/SM_1997_188_10_a2/