Extension of Mercer Theorem for Reproducing Kernel Hilbert Space on Noncompact Sequence of Sets

Journal: International Journal of Science and Research (IJSR) (Vol.8, No. 10)

Publication Date: 2019-10-05

Authors : M. H. Ahmed Yahya;

Page : 690-696

Keywords : Mercer kernel; Reproducing kernel Hilbert spaces; Nondegenerate Borel measure; Positive Semidefiniteness;

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Abstract

In this paper we extend the Mercer theorem to noncompact sequence of Sets, and to establish a functional analysis characterization of the reproducing square kernel Hilbert spaces on general domains.

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Extension of Mercer Theorem for Reproducing Kernel Hilbert Space on Noncompact Sequence of Sets

Abstract

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