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Matematicheskie Zametki, 2019, Volume 106, Issue 6, Pages 803–810
DOI: https://doi.org/10.4213/mzm12059 (Mi mzm12059) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Generalized Localization Principle for Continuous Wavelet Decompositions

R. R. Ashurov, Yu. È. Fayziev

National University of Uzbekistan named after M. Ulugbek
Full-text PDF (515 kB) Citations (3)
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DOI: https://doi.org/10.4213/mzm12059
Abstract: Spherically symmetric continuous wavelet decompositions are considered, and the notion of Riesz means is introduced for them. Generalized localization is proved for the decompositions under study in $L_p$ classes without any restrictions on the wavelets. Further, generalized localization is studied for the Riesz means of wavelet decompositions of distributions from the Sobolev class with negative order of smoothness.
Keywords: spherically symmetric wavelet decompositions, Riesz means, generalized localization.
Received: 04.05.2018
Revised: 08.01.2019
English version:
Mathematical Notes, 2019, Volume 106, Issue 6, Pages 857–863
DOI: https://doi.org/10.1134/S0001434619110208
Bibliographic databases:
Document Type: Article
UDC: 517
Language: Russian
Citation: R. R. Ashurov, Yu. È. Fayziev, “Generalized Localization Principle for Continuous Wavelet Decompositions”, Mat. Zametki, 106:6 (2019), 803–810; Math. Notes, 106:6 (2019), 857–863
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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