2018/12/21 by Jeffrey A. Hogan, Hogan, Jeffrey A., Joseph D. Lakey +1
Computer Science · Mathematics · #FOS: Mathematics #Functional Analysis (math.FA) #Graph theory and applications #Mathematical Analysis and Transform Methods #Matrix Theory and Algorithms
paper · pdf · doi:10.48550/arxiv.1812.08905
openalex publication_date 2018/12/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The operator that first truncates to a neighborhood of the origin in the spectral domain then truncates to a neighborhood of the origin in the spatial domain is investigated in the case of Boolean cubes. This operator is self adjoint on a space of bandlimited signals. The eigenspaces of this iterated projection operator are studied and are shown to depend fundamentally on the neighborhood structure of the cube when regarded as a metric graph with path distance equal to Hamming distance.