3 citations · 9 across the 11 of their papers we have counts for
5 papers · 1 filter
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…
A Douglas-Rachford construction of non-separable continuous compactly supported multidimensional wavelets
David Franklin, Jeffrey A. Hogan, Matthew K. Tam
After re-casting the -dimensional wavelet construction problem as a feasibility problem with constraints arising from the requirements of compact support, smoothness and orthogo…
Constraint reduction reformulations for projection algorithms with applications to wavelet construction
Minh Dao, Neil Dizon, Jeffrey Hogan +1
We introduce a reformulation technique that converts a many-set feasibility problem into an equivalent two-set problem. This technique involves reformulating the original feasibili…
Centering Projection Methods for Wavelet Feasibility Problems
Neil Dizon, Jeffrey Hogan, Scott B. Lindstrom
We revisit the feasibility approach to the construction of compactly supported smooth orthogonal wavelets on the line. We highlight its flexibility and illustrate how symmetry and…