The Moment Problem in Hypercomplex Systems
Journal Title: JOURNAL OF ADVANCES IN MATHEMATICS - Year 2015, Vol 10, Issue 7
Abstract
This paper is devoted to give the necessary and sufficient conditions guarantees that the product of two generalized moment functions defined in a hypercomplex system L1(Q,m) is also generalized moment function in L1(Q,m) . Also, we prove that a bounded continuous function in a hypercomplex system L1(Q,m) is conditionally positive definite if and only if is generalized moment functions defined in L1(Q,m) . Moreover, we will give the integral representations of a generalized moment functions defined in L1 (Q, m) .
Authors and Affiliations
Hossam Hassan, A. S. Okb El Bab, H. A. Ghany, R. M Boshnaa
Keywords
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- EP ID EP651522
- DOI 10.24297/jam.v10i7.1790
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