Generalized localization principle for continuous wavelet decompositions

DOI10.1134/S0001434619110208zbMath1434.42047OpenAlexW2997727833MaRDI QIDQ2304499

Yu. É. Faiziev, Ravshan Ashurov

Publication date: 12 March 2020

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434619110208

zbMATH Keywords

Riesz meansgeneralized localizationspherically symmetric wavelet decompositions

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10)

Cites Work

• On generalized localization of Fourier inversion associated with an elliptic operator for distributions
• On continuous wavelet transforms of distributions
• Almost-everywhere convergence of Fourier integrals for functions in Sobolev spaces, and an \(L^ 2\)-localisation principle
• Generalized localization of Fourier series with respect to the eigenfunctions of the Laplace operator in the classes \(L_ p\)
• Pointwise Fourier inversion and localisation in \(\mathbb{R}^n\)
• Generalized localization of Riesz means of spectral expansions of distributions
• On generalized localization of Fourier inversion for distributions
• Ten Lectures on Wavelets
• On pointwise convergence of continuous wavelet transforms
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