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- 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