Algebras and nonlinear multiresolution analysis that are consistent with the Strang and Fix conditions

Auteur: François Chaplais, IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis, 1996, pp. 445 - 448 , 18-21 Jun 1996, DOI: 10.1109/TFSA.1996.550088
We investigate how the concept of multiresolution analysis can be adapted in order to handle nonlinear operators. Under reasonable assumptions this question has a unique answer, which we characterize and build explicitly here.
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BibTeX:
@Proceedings{,
author = {Chaplais, François},
editor = {},
title = {Algebras and nonlinear multiresolution analysis that are consistent with the Strang and Fix conditions},
booktitle = {IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis, 1996},
volume = {},
publisher = {},
address = {Paris},
pages = {445 - 448 },
year = {1996},
abstract = {We investigate how the concept of multiresolution analysis can be adapted in order to handle nonlinear operators. Under reasonable assumptions this question has a unique answer, which we characterize and build explicitely here.},
keywords = {Algebra, Fourier transforms, Frequency, Image processing, Multiresolution analysis, Polynomials, Signal analysis, Signal resolution, Wavelet analysis, Wavelet coefficients}}