The nonexistence of shearlet scaling functions

DOI10.1016/j.acha.2011.03.001zbMath1234.42017OpenAlexW2016759271MaRDI QIDQ654445

Robert Houska

Publication date: 28 December 2011

Published in: Applied and Computational Harmonic Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.acha.2011.03.001

zbMATH Keywords

multiresolution analysisscaling functionshearletdirectional representation system

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40)

Related Items (2)

Gabor shearlets ⋮ Smooth affine shear tight frames with MRA structure

Cites Work

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• Construction of compactly supported shearlet frames
• The structure of finitely generated shift-invariant spaces in \(L_ 2(\mathbb{R}^ d)\)
• Affine systems in \(L_ 2(\mathbb{R}^d)\): The analysis of the analysis operator
• The structure of shift-invariant subspaces of \(L^2(\mathbb{R}^n)\)
• Wavelets with composite dilations and their MRA properties
• Continuous curvelet transform. I: Resolution of the wavefront set
• A theory for multiresolution signal decomposition: the wavelet representation
• Adaptive Directional Subdivision Schemes and Shearlet Multiresolution Analysis
• Resolution of the wavefront set using continuous shearlets
• Orthonormal bases of compactly supported wavelets
• Multiresolution Approximations and Wavelet Orthonormal Bases of L 2 (R)
• New tight frames of curvelets and optimal representations of objects with piecewise C² singularities
• The Discrete Shearlet Transform: A New Directional Transform and Compactly Supported Shearlet Frames
• Optimally Sparse Multidimensional Representation Using Shearlets
• An introduction to frames and Riesz bases
• Sparse components of images and optimal atomic decompositions

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