[Régularité et caractérisation des représentations multiéchelles non linéaires]
Le but de cette Note est de présenter quelques résultats théoriques sur les représentations multiéchelles non linéaires. On caractérise la régularité des fonctions à travers les propriétés de décroissance des suites des coefficients multiéchelles et on étudie la stabilité de ces représentations. On introduit des outils généraux d'analyse de ces propriétés.
The goal of this Note is to present some theoretical results for the nonlinear multiscales representations concerning the smoothness characterization through the rate of decay of multiscales coefficients and stability. We introduce a general framework to analyze such properties.
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@article{CRMATH_2004__338_4_321_0,
author = {Matei, Basarab},
title = {Smoothness characterization and stability for nonlinear multiscale representations},
journal = {Comptes Rendus. Math\'ematique},
pages = {321--326},
publisher = {Elsevier},
volume = {338},
number = {4},
year = {2004},
doi = {10.1016/j.crma.2003.11.030},
language = {en},
url = {http://www.numdam.org/articles/10.1016/j.crma.2003.11.030/}
}
TY - JOUR AU - Matei, Basarab TI - Smoothness characterization and stability for nonlinear multiscale representations JO - Comptes Rendus. Mathématique PY - 2004 SP - 321 EP - 326 VL - 338 IS - 4 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/j.crma.2003.11.030/ DO - 10.1016/j.crma.2003.11.030 LA - en ID - CRMATH_2004__338_4_321_0 ER -
%0 Journal Article %A Matei, Basarab %T Smoothness characterization and stability for nonlinear multiscale representations %J Comptes Rendus. Mathématique %D 2004 %P 321-326 %V 338 %N 4 %I Elsevier %U http://www.numdam.org/articles/10.1016/j.crma.2003.11.030/ %R 10.1016/j.crma.2003.11.030 %G en %F CRMATH_2004__338_4_321_0
Matei, Basarab. Smoothness characterization and stability for nonlinear multiscale representations. Comptes Rendus. Mathématique, Tome 338 (2004) no. 4, pp. 321-326. doi : 10.1016/j.crma.2003.11.030. http://www.numdam.org/articles/10.1016/j.crma.2003.11.030/
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