3 papers
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…
math.AP2023
Construction of Weighted Clifford Prolate Spheroidal wave Functions
Hamed Baghal Ghaffari, Swanhild Bernstein
We develop some properties and the Bonnet formula for Clifford Gegenbauer polynomials. Then after we define and construct weighted Clifford prolate spheroidal wave functions. We th…
math.CA2021
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…