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Izvestiya: Mathematics, 2000, Volume 64, Issue 1, Pages 143–171
DOI: https://doi.org/10.1070/im2000v064n01ABEH000277 (Mi im277) 		 
This article is cited in 11 scientific papers (total in 12 papers)

Wavelets in spaces of harmonic functions

Yu. N. Subbotin, N. I. Chernykh

Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences
English version PDF (300 kB) Citations (12)
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DOI: https://doi.org/10.1070/im2000v064n01ABEH000277
Abstract: Using Meyer's bases of wavelets [1], we construct orthogonal bases of wavelets in the spaces $h_p$ $(1\leqslant p\leqslant \infty)$ of functions harmonic in the unit disc $|z|<1$ or in the annulus $0<\rho<|z|<1$. The partial sums of the Fourier series with respect to these bases possess approximating properties comparable with the best approximations by trigonometric polynomials.
Received: 20.04.1998
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2000, Volume 64, Issue 1, Pages 145–174
DOI: https://doi.org/10.4213/im277
Bibliographic databases:
MSC: 42C15
Language: English
Original paper language: Russian
Citation: Yu. N. Subbotin, N. I. Chernykh, “Wavelets in spaces of harmonic functions”, Izv. RAN. Ser. Mat., 64:1 (2000), 145–174; Izv. Math., 64:1 (2000), 143–171
Citation in format AMSBIB
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  • https://doi.org/10.1070/im2000v064n01ABEH000277
  • https://www.mathnet.ru/eng/im/v64/i1/p145
    • This publication is cited in the following 12 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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    Abstract page:689
    Russian version PDF:305
    English version PDF:23
    References:72
    First page:1
     
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