L-p solutions of refinement equations
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AbstractIn the recent characterizations of the L-p solution of the refinement equation in terms of the "p-norm joint spectral radius," there are problems in choosing the initial function for iteration [3, 23], or in addition, requiring stability of the refinable function [13, 17]. In this article we overcome these difficulties and give a more complete characterization of this nature. The criterion is constructive and can be implemented. It can be used to describe the regularity of the solution without assuming stability. This has significant advantages over the previous work. The corresponding results for vector refinement equations are also discussed.
All Author(s) ListJia RQ, Lau KS, Zhou DX
Journal nameJournal of Fourier Analysis and Applications
Volume Number7
Issue Number2
Pages143 - 167
LanguagesEnglish-United Kingdom
Keywordsjoint spectral radii; refinable functions; refinement equations; wavelets
Web of Science Subject CategoriesMathematics; Mathematics, Applied; MATHEMATICS, APPLIED

Last updated on 2021-26-02 at 01:40