Article

Generalized Localization Principle for Continuous Wavelet Decompositions

Ravshan AshurovUlugbek National University of Uzbekistan, Tashkent, 100174, UzbekistanYu. É. FaizievUlugbek National University of Uzbekistan, Tashkent, 100174, Uzbekistan

Mathematical Notesjournal2019en

ABI

Abstract

Spherically symmetric continuous wavelet decompositions are considered, and the notion of Riesz means is introduced for them. Generalized localization is proved for the decompositions under study in Lp classes without any restrictions on the wavelets. Further, generalized localization is studied for the Riesz means of wavelet decompositions of distributions from the Sobolev class with negative order of smoothness.

Topics

Image and Signal Denoising Methods Mathematical Analysis and Transform Methods Advanced Data Compression Techniques

Identifiers

DOI: 10.1134/s0001434619110208

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