2 citations · 3 across the 6 of their papers we have counts for
7 papers
Towards direct -bounds for maximal partial sums of Walsh--Fourier series: The case of dyadic partial sums
Joseph D. Lakey
We outline an approach to obtain direct estimates not requiring interpolation for so-called linearized partial sums operators associated with expansions in Walsh functions. W…
Constructing -Dimensional Monogenic Homogeneous Functions
Hamed Baghal Ghaffari, Jeffrey A. Hogan, Joseph D. Lakey
This paper is dedicated to the construction of multidimensional spherical monogenics. Firstly, we investigate the construction of monogenic functions in dimension by applying t…
Clifford Prolate Spheroidal wave Functions
Hamed Baghal Ghaffari, Jeffrey A. Hogan, Joseph D. Lakey
In the present paper, we introduce the multidimensional Clifford prolate spheroidal wave functions (CPSWFs) defined on the unit ball as eigenfunctions of a Clifford differential op…
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…