Smoothness of weak solutions under linear partial differential operators with constant coefficients via the convergence of then-dimensional continuous shearlet transform

DOI10.1080/10652469.2019.1684914zbMath1430.42037OpenAlexW2985573965MaRDI QIDQ5215377

David Elizarraraz, Jaime Navarro

Publication date: 10 February 2020

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652469.2019.1684914

zbMATH Keywords

regularityweak solutionadmissible functioncontinuous 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) General integral transforms (44A05)

Cites Work

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• Smoothness of generalized solutions for higher-order elliptic equations with nonlocal boundary conditions
• The continuous shearlet transform in arbitrary space dimensions
• A Tauberian theorem related to approximation theory
• A COMPACTLY SUPPORTED, SYMMETRICAL AND QUASI-ORTHOGONAL WAVELET
• COORBIT SPACE THEORY FOR THE TOEPLITZ SHEARLET TRANSFORM
• THE UNCERTAINTY PRINCIPLE ASSOCIATED WITH THE CONTINUOUS SHEARLET TRANSFORM
• Decomposition of Hardy Functions into Square Integrable Wavelets of Constant Shape

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