FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

1997, VOLUME 3, NUMBER 4, PAGES 999-1028

Basic constructions of wavelets

I. Ya.Novikov
S. B. Stechkin

Abstract

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The article is an introduction to the wavelet theory. It contains the detailed description of the most general method of construction of wavelets, the so called multiresolution analysis (MRA). On the basis of MRA the fundamental and now classical wavelet constructions are described.


All articles are published in Russian.

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