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Matematicheskie Zametki, 2014, Volume 95, Issue 3, Pages 400–416
DOI: https://doi.org/10.4213/mzm9691 (Mi mzm9691) 		 
Analytic Wavelets in Multiply Connected Domains with Circular Boundaries

G. A. Dubosarskijab

a Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg
b Institute of Mathematics and Computer Science, Ural Federal University, Ekaterinburg
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DOI: https://doi.org/10.4213/mzm9691
Abstract: Wavelet bases in Hardy-type spaces of analytic functions in a domain with circular boundaries are constructed from a wavelet basis in the Hardy space of functions analytic in the disk. An estimate of the rate of convergence of the partial sums of the constructed wavelets is also obtained.
Keywords: analytic wavelet, basis in a Hardy-type space of analytic functions, wavelet expansion.
Received: 05.04.2012
Revised: 08.04.2013
English version:
Mathematical Notes, 2014, Volume 95, Issue 3, Pages 359–373
DOI: https://doi.org/10.1134/S0001434614030080
Bibliographic databases:
Document Type: Article
UDC: 517.538.2
Language: Russian
Citation: G. A. Dubosarskij, “Analytic Wavelets in Multiply Connected Domains with Circular Boundaries”, Mat. Zametki, 95:3 (2014), 400–416; Math. Notes, 95:3 (2014), 359–373
Citation in format AMSBIB
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