On the regularity of distributions via the convergence of the continuous shearlet transform in two dimensions

DOI10.1142/S0219691321500454zbMath1485.42014OpenAlexW3203338011MaRDI QIDQ5063229

David Elizarraraz, Jaime Navarro

Publication date: 17 March 2022

Published in: International Journal of Wavelets, Multiresolution and Information Processing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219691321500454

zbMATH Keywords

admissible functionsingular supportdistributions with compact supportcontinuous shearlet transforminverse shearlet transform

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) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) General integral transforms (44A05)

Cites Work

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• Continuous shearlet frames and resolution of the wavefront set
• Shearlets. Multiscale analysis for multivariate data.
• A COMPACTLY SUPPORTED, SYMMETRICAL AND QUASI-ORTHOGONAL WAVELET
• THE UNCERTAINTY PRINCIPLE ASSOCIATED WITH THE CONTINUOUS SHEARLET TRANSFORM
• Resolution of the wavefront set using continuous shearlets
• Transforms associated to square integrable group representations. I. General results
• Ten Lectures on Wavelets

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