Reproducing kernel Hilbert spaces associated with kernels on topological spaces |
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| Authors: | J C Ferreira V A Menegatto |
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| Institution: | 1. Instituto de Ci??ncias Exatas, Universidade Federal de Alfenas, Alfenas, Brazil
2. Departamento de Matem??tica, Instituto de Ci??ncias Matem??ticas e de Computa??o, Universidade de S?o Paulo, S?o Paulo, Brazil
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| 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. |
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| Keywords: | |
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