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  1. Journal of Fourier Analysis and Applications
  2. Journal of Fourier Analysis and Applications : Volume 18
  3. Journal of Fourier Analysis and Applications : Volume 18, Issue 1, February 2012
  4. Compactly Supported Frames for Decomposition Spaces
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Journal of Fourier Analysis and Applications : Volume 23
Journal of Fourier Analysis and Applications : Volume 22
Journal of Fourier Analysis and Applications : Volume 21
Journal of Fourier Analysis and Applications : Volume 20
Journal of Fourier Analysis and Applications : Volume 19
Journal of Fourier Analysis and Applications : Volume 18
Journal of Fourier Analysis and Applications : Volume 18, Issue 6, December 2012
Journal of Fourier Analysis and Applications : Volume 18, Issue 5, October 2012
Journal of Fourier Analysis and Applications : Volume 18, Issue 4, August 2012
Journal of Fourier Analysis and Applications : Volume 18, Issue 3, June 2012
Journal of Fourier Analysis and Applications : Volume 18, Issue 2, April 2012
Journal of Fourier Analysis and Applications : Volume 18, Issue 1, February 2012
Random Tight Frames
Periodicity of the Spectrum of a Finite Union of Intervals
Fourier Series with the Continuous Primitive Integral
Optimally Space Localized Polynomials with Applications in Signal Processing
Cardinal Interpolation with Gaussian Kernels
Compactly Supported Frames for Decomposition Spaces
Spectral Conditions for Strong Local Nondeterminism and Exact Hausdorff Measure of Ranges of Gaussian Random Fields
On the Representation of Functions with Gaussian Wave Packets
Concentration Problems for Bandpass Filters in Communication Theory over Disjoint Frequency Intervals and Numerical Solutions
Journal of Fourier Analysis and Applications : Volume 17
Journal of Fourier Analysis and Applications : Volume 16
Journal of Fourier Analysis and Applications : Volume 15
Journal of Fourier Analysis and Applications : Volume 14
Journal of Fourier Analysis and Applications : Volume 13
Journal of Fourier Analysis and Applications : Volume 12
Journal of Fourier Analysis and Applications : Volume 11
Journal of Fourier Analysis and Applications : Volume 10
Journal of Fourier Analysis and Applications : Volume 9
Journal of Fourier Analysis and Applications : Volume 8
Journal of Fourier Analysis and Applications : Volume 7
Journal of Fourier Analysis and Applications : Volume 6
Journal of Fourier Analysis and Applications : Volume 5
Journal of Fourier Analysis and Applications : Volume 4
Journal of Fourier Analysis and Applications : Volume 3

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Compactly Supported Frames for Decomposition Spaces

Content Provider SpringerLink
Author Rasmussen, Kenneth N. Nielsen, Morten
Copyright Year 2011
Abstract In this article we study a construction of compactly supported frame expansions for decomposition spaces of Triebel-Lizorkin type and for the associated modulation spaces. This is done by showing that finite linear combinations of shifts and dilates of a single function with sufficient decay in both direct and frequency space can constitute a frame for Triebel-Lizorkin type spaces and the associated modulation spaces. First, we extend the machinery of almost diagonal matrices to Triebel-Lizorkin type spaces and the associated modulation spaces. Next, we prove that two function systems which are sufficiently close have an almost diagonal “change of frame coefficient” matrix. Finally, we approximate to an arbitrary degree an already known frame for Triebel-Lizorkin type spaces and the associated modulation spaces with a single function with sufficient decay in both direct and frequency space.
Ending Page 117
Page Count 31
Starting Page 87
File Format PDF
ISSN 10695869
e-ISSN 15315851
Journal Journal of Fourier Analysis and Applications
Issue Number 1
Volume Number 18
Language English
Publisher SP Birkhäuser Verlag Boston
Publisher Date 2011-07-16
Publisher Place Boston
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword Abstract Harmonic Analysis Frames Mathematical Methods in Physics Fourier Analysis Anisotropic Besov spaces Signal, Image and Speech Processing Function spaces arising in harmonic analysis Approximations and Expansions Decomposition spaces General harmonic expansions, frames Partial Differential Equations Anisotropic Triebel-Lizorkin spaces
Content Type Text
Resource Type Article
Subject Applied Mathematics Analysis
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