Title: Integral representation and estimation of harmonic functions in the quaternionic half space.
Authors: Zhang, Yan Hui; Kou, Kit Ian
Abstract: In this article, we discuss the integral representation of quaternionic harmonic functions in the half space with the general boundary condition. Next, we derive a lower bound from an upper one for quaternionic harmonic functions. These results generalize some of the classic results from the case of plane to the case of noncommutative quaterninionic half space. Copyright © 2017 John Wiley & Sons, Ltd.
Subjects: INTEGRAL representations; HARMONIC functions; QUATERNIONS; BOUNDARY value problems; NONCOMMUTATIVE function spaces
Publication: Mathematical Methods in the Applied Sciences, 2017, Vol 40, Issue 15, p5484
ISSN: 0170-4214
Publication type: Academic Journal
DOI: 10.1002/mma.4402

Integral representation and estimation of harmonic functions in the quaternionic half space.

Zhang, Yan Hui; Kou, Kit Ian