Vector valued reproducing kernel Hilbert spaces and universality

Details Vector valued reproducing kernel Hilbert spaces and universality Vector valued reproducing kernel Hilbert spaces and universality

2008-07-10

arxiv.org/abs/0807.1659v1

Mathematics

Functional Analysis

49 pages, no figures

Scientific paper

This paper is devoted to the study of vector valued reproducing kernel
Hilbert spaces. We focus on two aspects: vector valued feature maps and
universal kernels. In particular we characterize the structure of translation
invariant kernels on abelian groups and we relate it to the universality
problem.

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