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

How to Cite?: M. H. Ahmed Yahya, "Extension of Mercer Theorem for Reproducing Kernel Hilbert Space on Noncompact Sequence of Sets", Volume 8 Issue 10, October 2019, International Journal of Science and Research (IJSR), Pages: 690-696, https://www.ijsr.net/getabstract.php?paperid=ART20201659, DOI: https://dx.doi.org/10.21275/ART20201659