An analogue of the Littlewood-Paley theorem for orthoprojectors onto wavelet subspaces
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Publication:2821886
DOI10.1070/IM8378zbMATH Open1354.42034arXiv1504.00348MaRDI QIDQ2821886
Publication date: 26 September 2016
Published in: Izvestiya: Mathematics (Search for Journal in Brave)
Abstract: The article proves an assertion analogous to the Littlewood-Paley theorem for the orthoprojectors onto wavelet subspaces corresponding to the nonisotropic multiresolution analysis generated as tensor product of smooth scaling single-variable functions sufficiently rapidly vanishing at infinity.
Full work available at URL: https://arxiv.org/abs/1504.00348
multiresolution analysiswavelet subspacesLittlewood-Paley theoremorthoprojectorsanisotropic wavelets
Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Maximal functions, Littlewood-Paley theory (42B25)
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