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Funktsional'nyi Analiz i ego Prilozheniya, 2012, Volume 46, Issue 2, Pages 89–91
DOI: https://doi.org/10.4213/faa3074 (Mi faa3074) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Brief communications

Reproducing Kernel Hilbert Spaces Associated with Kernels on Topological Spaces

V. A. Menegattoa, J. C. Ferreirab

a Universidade de São Paulo
b Universidade Federal de Alfenas
Full-text PDF (115 kB) Citations (3)
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DOI: https://doi.org/10.4213/faa3074
Abstract: We analyze reproducing kernel Hilbert spaces of positive definite kernels on a topological space $X$ being either first countable or locally compact. The results include versions of Mercer's theorem and theorems on the embedding of these spaces into spaces of continuous and square integrable functions.
Keywords: reproducing kernel Hilbert spaces, positive definite kernels, Mercer's theory.
Received: 15.10.2010
English version:
Functional Analysis and Its Applications, 2012, Volume 46, Issue 2, Pages 152–154
DOI: https://doi.org/10.1007/s10688-012-0021-5
Bibliographic databases:
Document Type: Article
UDC: 917.98
Language: Russian
Citation: V. A. Menegatto, J. C. Ferreira, “Reproducing Kernel Hilbert Spaces Associated with Kernels on Topological Spaces”, Funktsional. Anal. i Prilozhen., 46:2 (2012), 89–91; Funct. Anal. Appl., 46:2 (2012), 152–154
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/faa/v46/i2/p89
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Функциональный анализ и его приложения Functional Analysis and Its Applications
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    Full-text PDF :297
    References:71
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