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  1. Journal of Fourier Analysis and Applications
  2. Journal of Fourier Analysis and Applications : Volume 22
  3. Journal of Fourier Analysis and Applications : Volume 22, Issue 4, August 2016
  4. Detecting Fourier Subspaces
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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 22, Issue 6, December 2016
Journal of Fourier Analysis and Applications : Volume 22, Issue 5, October 2016
Journal of Fourier Analysis and Applications : Volume 22, Issue 4, August 2016
Superoscillating Sequences in Several Variables
An Uncertainty Principle and Sampling Inequalities in Besov Spaces
Stable Signal Recovery from Phaseless Measurements
Application of p-Adic Wavelets to Model Reaction–Diffusion Dynamics in Random Porous Media
Generation of Semigroups for Vector-Valued Pseudodifferential Operators on the Torus
Extension Principles for Dual Multiwavelet Frames of $$L_2(\mathbb {R}^s)$$ constructed from Multirefinable Generators
Detecting Fourier Subspaces
Some Smooth Compactly Supported Tight Wavelet Frames with Vanishing Moments
Hölder–Lipschitz Norms and Their Duals on Spaces with Semigroups, with Applications to Earth Mover’s Distance
On Hardy and BMO Spaces for Grushin Operator
Journal of Fourier Analysis and Applications : Volume 22, Issue 3, June 2016
Journal of Fourier Analysis and Applications : Volume 22, Issue 2, April 2016
Journal of Fourier Analysis and Applications : Volume 22, Issue 1, February 2016
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 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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Detecting Fourier Subspaces

Content Provider SpringerLink
Author Weaver, Nik Akemann, Charles
Copyright Year 2015
Abstract Let G be a finite abelian group. We examine the discrepancy between subspaces of $$l^2(G)$$ which are diagonalized in the standard basis and subspaces which are diagonalized in the dual Fourier basis. The general principle is that a Fourier subspace whose dimension is small compared to $$|G| = \mathrm{dim}\left( l^2(G)\right) $$ tends to be far away from standard subspaces. In particular, the recent positive solution of the Kadison–Singer problem shows that from within any Fourier subspace whose dimension is small compared to |G| there is a standard subspace which is essentially indistinguishable from its orthogonal complement.
Ending Page 886
Page Count 9
Starting Page 878
File Format PDF
ISSN 10695869
e-ISSN 15315851
Journal Journal of Fourier Analysis and Applications
Issue Number 4
Volume Number 22
Language English
Publisher Springer US
Publisher Date 2015-11-04
Publisher Place New York
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword Kadison–Singer General theory of $C^*$ -algebras Irregularities of distribution, discrepancy Signal, Image and Speech Processing Signal theory (characterization, reconstruction, filtering, etc.) Fourier transform Abstract Harmonic Analysis Fourier and Fourier-Stieltjes transforms on locally compact and other abelian groups Mathematical Methods in Physics Fourier Analysis Approximations and Expansions Finite abelian groups Signal detection Partial Differential Equations
Content Type Text
Resource Type Article
Subject Applied Mathematics Analysis
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