Geodesic
Riesz multiresolution analysis on zero-dimensional groups
Izvestiya. Mathematics , Tome 79 (2015) no. 1, pp. 145-176

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On zero-dimensional groups wavelet Riesz bases with noncompact support are constructed. For Vilenkin groups a simple algorithm for constructing the scaling function in terms of the trees is obtained.
Keywords: multiresolution analysis, wavelet bases, zero-dimensional groups, Vilenkin groups. 
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     author = {S. F. Lukomskii},
     title = {Riesz multiresolution analysis on zero-dimensional groups},
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     url = {http://geodesic.mathdoc.fr/item/IM2_2015_79_1_a6/}
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S. F. Lukomskii. Riesz multiresolution analysis on zero-dimensional groups. Izvestiya. Mathematics , Tome 79 (2015) no. 1, pp. 145-176. http://geodesic.mathdoc.fr/item/IM2_2015_79_1_a6/