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Research Paper | Mathematics | Sudan | Volume 8 Issue 10, October 2019 | Popularity: 6.4 / 10
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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M. H. Ahmed Yahya, "Extension of Mercer Theorem for Reproducing Kernel Hilbert Space on Noncompact Sequence of Sets", International Journal of Science and Research (IJSR), Volume 8 Issue 10, October 2019, pp. 690-696, https://www.ijsr.net/getabstract.php?paperid=ART20201659, DOI: https://www.doi.org/10.21275/ART20201659