2 citations · 3 across the 3 of their papers we have counts for
4 papers
Sampling low-spectrum signals on graphs via cluster-concentrated modes: examples
Joseph D. Lakey, Jeffrey A. Hogan
We establish frame inequalities for signals in Paley--Wiener spaces on two specific families of graphs consisting of combinations of cubes and cycles. The frame elements are locali…
Some adjacency-invariant spaces on products of short cycles
Jeffrey A. Hogan, Joseph D. Lakey
We study certain spaces of vertex functions on the Cayley graphs corresponding to N-fold products of the group of integers modulo m, where m=3, 4, or 5, that are invariant under th…
Properties of Clifford Legendre Polynomials
Hamed Baghal Ghaffari, Jeffrey A. Hogan, Joseph D. Lakey
Clifford-Legendre and Clifford-Gegenbauer polynomials are eigenfunctions of certain differential operators acting on functions defined on -dimensional euclidean space ${\mathbb…
Spatio-spectral limiting on hypercubes: eigenspaces
Jeffrey A. Hogan, Joseph D. Lakey
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…