Shapiro and local uncertainty principles for the multivariate continuous shearlet transform

DOI10.1080/10652469.2020.1811703zbMath1464.42010OpenAlexW3081912493MaRDI QIDQ4987904

Bochra Nefzi

Publication date: 11 May 2021

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

Full work available at URL: https://doi.org/10.1080/10652469.2020.1811703

zbMATH Keywords

Fourier transformuncertainty principlesShapiro's theoremshearletumbrella theoremlocal uncertainty principlesthe multivariate continuous 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) Other transforms and operators of Fourier type (43A32)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Characterization of piecewise-smooth surfaces using the 3D continuous shearlet transform
• Orthonormal sequences in \(L^{2}(\mathbb{R}^{d})\) and time frequency localization
• Shearlet coorbit spaces and associated Banach frames
• Uncertainty principles for orthonormal sequences
• The continuous shearlet transform in arbitrary space dimensions
• The uncertainty principle: A mathematical survey
• A characterization of the higher dimensional groups associated with continuous wavelets.
• New uncertainty principles for the continuous Gabor transform and the continuous wavelet transform
• Uncertainty principles for the multivariate continuous shearlet transform
• Uncertainty principles for the continuous quaternion shearlet transform
• Introduction to Shearlets
• Analysis and Identification of Multidimensional Singularities Using the Continuous Shearlet Transform
• Characterization and Analysis of Edges Using the Continuous Shearlet Transform
• Heisenberg type uncertainty principle for continuous shearlet transform
• THE UNCERTAINTY PRINCIPLE ASSOCIATED WITH THE CONTINUOUS SHEARLET TRANSFORM
• Resolution of the wavefront set using continuous shearlets
• Uncertainty principles for the continuous shearlet transforms in arbitrary space dimensions

This page was built for publication: Shapiro and local uncertainty principles for the multivariate continuous shearlet transform