English

Vector valued reproducing kernel Hilbert spaces and universality

Functional Analysis 2008-07-11 v1

Abstract

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.

Keywords

Cite

@article{arxiv.0807.1659,
  title  = {Vector valued reproducing kernel Hilbert spaces and universality},
  author = {C. Carmeli and E. De Vito and A. Toigo and V. Umanità},
  journal= {arXiv preprint arXiv:0807.1659},
  year   = {2008}
}

Comments

49 pages, no figures

R2 v1 2026-06-21T10:59:18.090Z