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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 4, August 2012
  4. Spectral Tetris Fusion Frame Constructions
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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
Approximation of Fourier Integral Operators by Gabor Multipliers
A Generalized Sampling Theorem for Stable Reconstructions in Arbitrary Bases
Calderón-Zygmund Operators Related to Jacobi Expansions
A Wavelet Characterization for the Upper Global Hölder Index
Higher Order Riesz Transforms for Fourier-Bessel Expansions
Expected Supremum of a Random Linear Combination of Shifted Kernels
Asymptotic Properties of Fourier Transforms of b-Decomposable Distributions
Spectral Tetris Fusion Frame Constructions
Spaces of Variable Smoothness and Integrability: Characterizations by Local Means and Ball Means of Differences
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
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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Spectral Tetris Fusion Frame Constructions

Content Provider SpringerLink
Author Wang, Yang Heinecke, Andreas Fickus, Matthew Zhou, Zhengfang Casazza, Peter G.
Copyright Year 2012
Abstract Spectral tetris is a flexible and elementary method to construct unit norm frames with a given frame operator, having all of its eigenvalues greater than or equal to two. One important application of spectral tetris is the construction of fusion frames. We first show how the assumption on the spectrum of the frame operator can be dropped and extend the spectral tetris algorithm to construct unit norm frames with any given spectrum of the frame operator. We then provide a sufficient condition for using this generalization of spectral tetris to construct fusion frames with prescribed spectrum for the fusion frame operator and with prescribed dimensions for the subspaces. This condition is shown to be necessary in the tight case of redundancy greater than or equal to two.
Ending Page 851
Page Count 24
Starting Page 828
File Format PDF
ISSN 10695869
e-ISSN 15315851
Journal Journal of Fourier Analysis and Applications
Issue Number 4
Volume Number 18
Language English
Publisher SP Birkhäuser Verlag Boston
Publisher Date 2012-04-07
Publisher Place Boston
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword Abstract Harmonic Analysis Frames Mathematical Methods in Physics Fourier Analysis Spectral tetris Fusion frames Signal, Image and Speech Processing Approximations and Expansions General harmonic expansions, frames Partial Differential Equations
Content Type Text
Resource Type Article
Subject Applied Mathematics Analysis
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