Continuity properties of the shearlet transform and the shearlet synthesis operator on the Lizorkin type spaces

DOI10.1002/mana.202000223zbMath1523.42010arXiv2005.03505OpenAlexW3021607452MaRDI QIDQ6093968

Stevan Pilipović, Francesca Bartolucci, Nenad Teofanov

Publication date: 9 October 2023

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.03505

zbMATH Keywords

distributions of slow growthshearlet transformLizorkin type spaces of test functions and their dualsshearlet synthesis operator

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Function spaces arising in harmonic analysis (42B35) Integral transforms in distribution spaces (46F12) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Radon transform (44A12)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The wavelet transforms in Gelfand-Shilov spaces
• Banach spaces related to integrable group representations and their atomic decompositions. I
• Continuous shearlet frames and resolution of the wavefront set
• Shearlets. Multiscale analysis for multivariate data.
• Wavelet transforms and localization operators
• Banach spaces related to integrable group representations and their atomic decompositions. II
• Shearlet coorbit spaces and associated Banach frames
• Characterization of wave front sets by wavelet transforms
• On the regular representation of a nonunimodular locally compact group
• The Radon transform.
• Continuity of the Radon transform and its inverse on Euclidean space
• The shearlet transform and Lizorkin spaces
• A space-based method for the generation of a Schwartz function with infinitely many vanishing moments of higher order with applications in image processing
• The Radon transform intertwines wavelets and shearlets
• Harmonic and applied analysis. From groups to signals
• Neural network with unbounded activation functions is universal approximator
• Shearlets and Microlocal Analysis
• A Course in Abstract Harmonic Analysis
• THE UNCERTAINTY PRINCIPLE ASSOCIATED WITH THE CONTINUOUS SHEARLET TRANSFORM
• Resolution of the wavefront set using continuous shearlets
• Ridgelets: a key to higher-dimensional intermittency?
• The Ridgelet transform of distributions

This page was built for publication: Continuity properties of the shearlet transform and the shearlet synthesis operator on the Lizorkin type spaces