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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
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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
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2016, Volume 80, Issue 3, Pages 103–150
DOI: https://doi.org/10.4213/im8378
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. RAN. Ser. Mat., 80:3 (2016), 103–150; Izv. Math., 80:3 (2016), 557–601
Citation in format AMSBIB
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    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Russian version PDF:67
    English version PDF:18
    References:75
    First page:24
     
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