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Research Paper | Mathematics | Sudan | Volume 8 Issue 10, October 2019
Extension of Mercer Theorem for Reproducing Kernel Hilbert Space on Noncompact Sequence of Sets
M. H. Ahmed Yahya
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.
Keywords: Mercer kernel, Reproducing kernel Hilbert spaces, Nondegenerate Borel measure, Positive Semidefiniteness
Edition: Volume 8 Issue 10, October 2019,
Pages: 690 - 696
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