2 papers
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…
math.FA2016
Quaternionic B-Splines
Jeffrey A. Hogan, Peter Massopust
We introduce B-splines on the line of quaternionic order ( in the algebra of quaternions) for the purposes of multi-channel signal and image analysis. The functions …