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Izvestiya: Mathematics, 2016, Volume 80, Issue 3, Pages 557–601
DOI: https://doi.org/10.1070/IM8378 (Mi im8378) 		 
An analogue of the Littlewood–Paley theorem for orthoprojectors onto wavelet subspaces

S. N. Kudryavtsev

Dorodnitsyn Computing Centre of the Russian Academy of Sciences, Moscow
English version PDF (549 kB) Russian version article
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DOI: https://doi.org/10.1070/IM8378
Abstract: We prove an analogue of the Littlewood–Paley theorem for orthoprojectors onto wavelet subspaces corresponding to a non-isotropic multiresolution analysis generated by the tensor product of smooth scaling functions of one variable with sufficiently rapid decay at infinity.
Keywords: orthoprojector, wavelet subspaces, scaling function, multiresolution analysis, Littlewood–Paley theorem.
Received: 05.04.2015
Revised: 06.07.2015
Bibliographic databases:
Document Type: Article
UDC: 517.5
MSC: 42B25, 42C40
Language: English
Original paper language: Russian
Citation: S. N. Kudryavtsev, “An analogue of the Littlewood–Paley theorem for orthoprojectors onto wavelet subspaces”, Izv. Math., 80:3 (2016), 557–601
Citation in format AMSBIB
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\paper An analogue of the Littlewood--Paley theorem for orthoprojectors onto wavelet subspaces
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\pages 557--601
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    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Abstract page:509
    Russian version PDF:67
    English version PDF:21
    References:80
    First page:24
     
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