Spatio-spectral limiting on redundant cubes: a case study

Title: Spatio-spectral limiting on redundant cubes: a case study
Creator: Hogan, Jeffrey A.; Lakey, Joseph D.
Relation: Excursions in Harmonic Analysis, Volume 6 p. 97-115
Relation: Applied and Numerical Harmonic Analysis
Publisher Link: http://dx.doi.org/10.1007/978-3-030-69637-5_6
Publisher: Springer
Resource Type: book chapter
Date: 2021
Description: The operator that first truncates to a neighborhood of the origin in the spatial domain then truncates to a neighborhood of zero in the spectral domain is investigated in the case of redundant cubes—Boolean cubes with added generators. This operator is self-adjoint on a space of spectrum-limited signals. Certain invariant subspaces of this iterated projection operator, in which eigenspaces lie, are studied for a specific example. These observations suggest a general structure of eigenspaces of spatio–spectral limiting on redundant cubes.
Subject: spatial domain; spectral domain; boolean cubes; spectrum limited signals
Identifier: http://hdl.handle.net/1959.13/1435041
Identifier: uon:39589
Identifier: ISBN:9783030696375
Language: eng