NEGATIVE DEFINITE FUNCTIONS ON DIRECT PRODUCT OF COMMUTATIVE HYPERCOMPLEX SYSTEMS

HOSSAM A. GHANY; ABD-ALLAH HYDER; M. ZAKARYA

Title	NEGATIVE DEFINITE FUNCTIONS ON DIRECT PRODUCT OF COMMUTATIVE HYPERCOMPLEX SYSTEMS
Publication Type	Journal Article
Year of Publication	2016
Authors	GHANY, HOSSAMA, HYDER, ABD-ALLAH, ZAKARYA, M
Secondary Title	Communications in Applied Analysis
Volume	20
Issue	3
Start Page	397
Pagination	14
Date Published	10/2016
Type of Work	scientific: mathematics
ISSN	1083-2564
AMS	43A10, 43A22, 43A62
Abstract	The main aim of this paper is to explore harmonic properties of functions defined in the product of hypercomplex systems. By means of the generalized translation operators, the precise definition of the product of commutative hypercomplex systems is given and full description for its properties are shown. The definition and some properties of negative definite functions in the product of commutative normal hypercomplex systems are given.
URL	http://www.acadsol.eu/en/articles/20/3/10.pdf
DOI	10.12732/caa.v20i3.10
Short Title	Negative Definite Functions of Commutative Hypercomplex Systems
Alternate Journal	CAA
Refereed Designation	Refereed
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