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Izvestiya: Mathematics, 2015, Volume 79, Issue 1, Pages 145–176
DOI: https://doi.org/10.1070/IM2015v079n01ABEH002737 (Mi im8181) 		 
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
English version PDF (414 kB) Citations (6)
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DOI: https://doi.org/10.1070/IM2015v079n01ABEH002737
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.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 1.1520.2014/K
This paper was written within the framework of a governmental order of the Ministry of Science and Education of Russia (project no. 1.1520.2014/K).
Received: 24.10.2013
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2015, Volume 79, Issue 1, Pages 153–184
DOI: https://doi.org/10.4213/im8181
Bibliographic databases:
Document Type: Article
UDC: 517.518+519.688
MSC: 42C40, 43A70, 11R56
Language: English
Original paper language: Russian
Citation: S. F. Lukomskii, “Riesz multiresolution analysis on zero-dimensional groups”, Izv. RAN. Ser. Mat., 79:1 (2015), 153–184; Izv. Math., 79:1 (2015), 145–176
Citation in format AMSBIB
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  • https://doi.org/10.1070/IM2015v079n01ABEH002737
  • https://www.mathnet.ru/eng/im/v79/i1/p153
    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Russian version PDF:187
    English version PDF:14
    References:83
    First page:46
     
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