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.
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.
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Basarab Matei 1
@article{CRMATH_2004__338_4_321_0, author = {Basarab Matei}, 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}, }
Basarab Matei. Smoothness characterization and stability for nonlinear multiscale representations. Comptes Rendus. Mathématique, Volume 338 (2004) no. 4, pp. 321-326. doi : 10.1016/j.crma.2003.11.030. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2003.11.030/
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