Basic constructions of wavelets
Fundamentalʹnaâ i prikladnaâ matematika, Tome 3 (1997) no. 4, pp. 999-1028.

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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.
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I. Ya. Novikov; S. B. Stechkin. Basic constructions of wavelets. Fundamentalʹnaâ i prikladnaâ matematika, Tome 3 (1997) no. 4, pp. 999-1028. http://geodesic.mathdoc.fr/item/FPM_1997_3_4_a6/