2 papers
math.FA2026
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…
math.AP2024
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…