Spatio-spectral limiting on Boolean cubes

Title: Spatio-spectral limiting on Boolean cubes
Creator: Hogan, Jeffrey A.; Lakey, Joseph D.
Relation: Journal of Fourier Analysis and Applications Vol. 27, Issue 3, no. 40
Publisher Link: http://dx.doi.org/10.1007/s00041-021-09845-y
Publisher: Birkhaeuser Science
Resource Type: journal article
Date: 2021
Description: The operator that first truncates to a neighborhood of the origin in the spatial domain then truncates to a neighborhood of the origin in the spectral domain is investigated in the case of Boolean cubes. This operator is self adjoint on the space of functions spanned by the Laplacian eigenvectors corresponding to small eigenvalues. The eigenspaces of this iterated projection operator are studied through reduced matrices based on certain invariant subspaces. They are shown to depend fundamentally on the neighborhood structure of the cube defined in terms of Hamming distance.
Subject: Boolean cube; time and band limiting; graph laplacian; graph fourier transform
Identifier: http://hdl.handle.net/1959.13/1435705
Identifier: uon:39792
Identifier: ISSN:1069-5869
Language: eng
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