|
This article is cited in 6 scientific papers (total in 6 papers)
Riesz multiresolution analysis on zero-dimensional groups
S. F. Lukomskii Saratov State University named after N. G. Chernyshevsky
Abstract:
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.
Received: 24.10.2013
Citation:
S. F. Lukomskii, “Riesz multiresolution analysis on zero-dimensional groups”, Izv. Math., 79:1 (2015), 145–176
Linking options:
https://www.mathnet.ru/eng/im8181https://doi.org/10.1070/IM2015v079n01ABEH002737 https://www.mathnet.ru/eng/im/v79/i1/p153
|
Statistics & downloads: |
Abstract page: | 802 | Russian version PDF: | 192 | English version PDF: | 18 | References: | 85 | First page: | 46 |
|