Orthonormal bases for anisotropic \(\alpha\)-modulation spaces

DOI10.1007/s13348-011-0052-xzbMath1262.42022OpenAlexW2044613582MaRDI QIDQ692052

Kenneth N. Rasmussen

Publication date: 4 December 2012

Published in: Collectanea Mathematica (Search for Journal in Brave)

Full work available at URL: http://vbn.aau.dk/ws/files/45836035/R_2011_02.pdf

zbMATH Keywords

nonlinear approximationanisotropic \(\alpha \)-modulation spacesbrushletslocal trigonometric bases

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Harmonic analysis in several variables (42B99)

Related Items (1)

Unconditional bases for homogeneous \(\alpha\)-modulation type spaces

Cites Work

• Compactly supported frames for decomposition spaces
• Orthonormal bases for \(\alpha\)-modulation spaces
• Frame decomposition of decomposition spaces
• Brushlets: A tool for directional image analysis and image compression
• Approximation with brushlet systems.
• Nonlinear approximation with dictionaries. I: Direct estimates
• Banach frames for multivariate \(\alpha\)-modulation spaces
• New bases for Triebel-Lizorkin and Besov spaces
• Banach Spaces of Distributions Defined by Decomposition Methods, I
• Banach Spaces of Distributions Defined by Decomposition Methods II
• Image compression through wavelet transform coding
• Compression of Wavelet Decompositions
• Sharp Jackson and Bernstein inequalities for N-term approximation in sequence spaces with applications
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