Publisher Summary This chapter explains basic examples of wavelet methods in numerical
analysis. It introduces the approximations and shows show the way they are related to …

Wavelets on the Interval and Fast Wavelet Transforms Page 1 HAL Id: hal-01311753 https://hal.science/hal-01311753
Submitted on 4 May 2016 HAL is a multi-disciplinary open access archive for the deposit …

This book presents a mathematical introduction to the theory of orthogonal wavelets and
their uses in analyzing functions and function spaces, both in one and in several variables …

Wavelet analysis is among the newest additions to the arsenals of mathematicians,
scientists, and engineers, and offers common solutions to diverse problems. However …

This chapter aims at providing a self-contained introduction to notions and results connected
with the L2-approximation order of finitely generated shift-invariant (FSI) spaces S. C L2 …

Wavelet methods allow to combine high order accuracy, multilevel preconditioning
techniques and adaptive approximation, in order to solve efficiently elliptic operator …

A construction of multiscale decompositions relative to domains $\Omega\subset\mathbb
{R}^ d $ is given. Multiscale spaces are constructed on $\Omega $ which retain the …

Shift-invariant spaces play an increasingly important role in various areas of mathematical
analysis and its applications. They appear either implicitly or explicitly in studies of wavelets …

We study, for a basis of Hölderian compactly supported wavelets, the boundedness and
convergence of the associated projectors Pj on the space Lp (dµ) for some p in] 1,∞[and …

Wavelet bases in the weighted Besov and Triebel–Lizorkin spaces with Aploc-weights -
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