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ArticleOriginal scientific text

Title

A geometrical solution of a problem on wavelets

Authors 1

Affiliations

  1. Laboratoire de Statistique et Probabilités, Université Paul Sabatier, 118, Route de Narbonne, 31062 Toulouse, France

Abstract

We prove the existence of nonseparable, orthonormal, compactly supported wavelet bases for L2(ℝ2) of arbitrarily high regularity by using some basic techniques of algebraic and differential geometry. We even obtain a much stronger result: ``most'' of the orthonormal compactly supported wavelet bases for L2(ℝ2), of any regularity, are nonseparable

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Studia Mathematica
2000/139/3
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Pages:
261-273
Main language of publication
English
Received
1999-02-09
Accepted
1999-11-19
Published
2000
Exact and natural sciences