On reproducing kernel and density problems

On reproducing kernel and density problems This paper is devoted to study embedding and denseness properties of reproducing kernel Hilbert spaces, in the spaces C(X) and $$L^p(X,\mu )$$ L p ( X , μ ) , when X is a locally compact topological Hausdorff space or a locally compact topological Hausdorff abelian group. This results is closely related to strictly positive definiteness of the reproducing kernel. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Positivity Springer Journals

On reproducing kernel and density problems

Positivity , Volume 21 (1) – Mar 30, 2016
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Publisher
Springer International Publishing
Copyright
Copyright © 2016 by Springer International Publishing
Subject
Mathematics; Fourier Analysis; Operator Theory; Potential Theory; Calculus of Variations and Optimal Control; Optimization; Econometrics
ISSN
1385-1292
eISSN
1572-9281
D.O.I.
10.1007/s11117-016-0414-4
Publisher site
See Article on Publisher Site

Abstract

This paper is devoted to study embedding and denseness properties of reproducing kernel Hilbert spaces, in the spaces C(X) and $$L^p(X,\mu )$$ L p ( X , μ ) , when X is a locally compact topological Hausdorff space or a locally compact topological Hausdorff abelian group. This results is closely related to strictly positive definiteness of the reproducing kernel.

Journal

PositivitySpringer Journals

Published: Mar 30, 2016

References

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