Compactly supported frames for decomposition spaces

DOI10.1007/s00041-011-9190-5zbMath1245.42021OpenAlexW2010506870MaRDI QIDQ421197

Morten Nielsen, Kenneth N. Rasmussen

Publication date: 23 May 2012

Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)

Full work available at URL: http://vbn.aau.dk/ws/files/53129219/R_2010_17.pdf

zbMATH Keywords

framesmodulation spacesanisotropic Besov spacesanisotropic Triebel-Lizorkin spaces

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) General harmonic expansions, frames (42C15)

Related Items (9)

Structured, compactly supported Banach frame decompositions of decomposition spaces ⋮ On traces of general decomposition spaces ⋮ Shearlet smoothness spaces ⋮ Frames for decomposition spaces generated by a single function ⋮ A characterization of sparse nonstationary Gabor expansions ⋮ On a discrete transform of homogeneous decomposition spaces ⋮ Orthonormal bases for anisotropic \(\alpha\)-modulation spaces ⋮ Design and properties of wave packet smoothness spaces ⋮ Invertibility of frame operators on Besov-type decomposition spaces

Cites Work

• A discrete transform and decompositions of distribution spaces
• Banach frames for \(\alpha\)-modulation spaces
• On anisotropic Triebel-Lizorkin type spaces, with applications to the study of pseudo-differential operators
• Orthonormal bases for \(\alpha\)-modulation spaces
• Frame decomposition of decomposition spaces
• Pseudodifferential operators on ultra-modulation spaces.
• Bases consisting of rational functions of uniformly bounded degrees or more general functions
• Nonlinear approximation with dictionaries. I: Direct estimates
• New bases for Triebel-Lizorkin and Besov spaces
• On the construction of frames for Triebel-Lizorkin and Besov spaces
• The curvelet transform for image denoising
• 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
• Problems in harmonic analysis related to curvature
• Generalized coorbit theory, Banach frames, and the relation to α-modulation spaces
• Atomic and molecular decompositions of anisotropic Triebel-Lizorkin spaces
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Compactly supported frames for decomposition spaces