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On the Bergmann Kernel Function in Hyperholomorphic Analysis

On the Bergmann Kernel Function in Hyperholomorphic Analysis The hyperholomorphic Bergmann kernel function ψß for a domain Ω is introduced as the special quaternionic “derivative” of the Green function for Ω. It is shown that ψß is hyperholomorphic, Hermitian symmetric and reproduces hyperholomorphic functions. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Applicandae Mathematicae Springer Journals

On the Bergmann Kernel Function in Hyperholomorphic Analysis

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References (17)

Publisher
Springer Journals
Copyright
Copyright © 1997 by Kluwer Academic Publishers
Subject
Mathematics; Mathematics, general; Computer Science, general; Theoretical, Mathematical and Computational Physics; Complex Systems; Classical Mechanics
ISSN
0167-8019
eISSN
1572-9036
DOI
10.1023/A:1017916828448
Publisher site
See Article on Publisher Site

Abstract

The hyperholomorphic Bergmann kernel function ψß for a domain Ω is introduced as the special quaternionic “derivative” of the Green function for Ω. It is shown that ψß is hyperholomorphic, Hermitian symmetric and reproduces hyperholomorphic functions.

Journal

Acta Applicandae MathematicaeSpringer Journals

Published: Sep 30, 2004

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