A Littlewood-Paley type theorem on orthoprojectors onto wavelet subspaces

2012/04/09 by S. N. Kudryavtsev, Kudryavtsev, S. N.
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Functional Analysis (math.FA) #Image and Signal Denoising Methods #Mathematical Analysis and Transform Methods #math.CA #math.FA

paper · pdf · doi:10.48550/arxiv.1204.1830

arxiv created 2012/04/09 · openalex publication_date 2012/04/09 · arxiv updated 2012/04/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The article proves an assertion analogous to the Littlewood-Paley theorem for the orthoprojectors onto wavelet subspaces corresponding to the multidimensional multiresolution analysis generated as tensor product of smooth finite scaling functions of one variable.

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