Geodesic
Multiresolution analysis on zero-dimensional Abelian groups and wavelets bases
Sbornik. Mathematics, Tome 201 (2010) no. 5, pp. 669-691 Cet article a éte moissonné depuis la source Math-Net.Ru

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For a locally compact zero-dimensional group $(G,\mathbin{\dot+})$, we build a multiresolution analysis and put forward an algorithm for constructing orthogonal wavelet bases. A special case is indicated when a wavelet basis is generated from a single function through contractions, translations and exponentiations. Bibliography: 19 titles.
Keywords: zero-dimensional groups, multiresolution analysis, wavelet bases. 
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S. F. Lukomskii. Multiresolution analysis on zero-dimensional Abelian groups and wavelets bases. Sbornik. Mathematics, Tome 201 (2010) no. 5, pp. 669-691. http://geodesic.mathdoc.fr/item/SM_2010_201_5_a3/

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