Abstract
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.
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The authors would like to thank the anonymous referee for several constructive comments to make the presentation more palatable.
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Hogan, J.A., Lakey, J.D. (2021). Spatio–Spectral Limiting on Redundant Cubes: A Case Study. In: Hirn, M., Li, S., Okoudjou, K.A., Saliani, S., Yilmaz, Ö. (eds) Excursions in Harmonic Analysis, Volume 6. Applied and Numerical Harmonic Analysis. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-69637-5_6
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