# 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

, Volume 21 (1) – Mar 30, 2016
13 pages

Loading next page...

/lp/springer_journal/on-reproducing-kernel-and-density-problems-rGEIbB1CM4
Publisher
Springer Journals
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

## You’re reading a free preview. Subscribe to read the entire article.

### DeepDyve is your personal research library

It’s your single place to instantly
discover and read the research
that matters to you.

Enjoy affordable access to
over 18 million articles from more than
15,000 peer-reviewed journals.

All for just $49/month ### Explore the DeepDyve Library ### Search Query the DeepDyve database, plus search all of PubMed and Google Scholar seamlessly ### Organize Save any article or search result from DeepDyve, PubMed, and Google Scholar... all in one place. ### Access Get unlimited, online access to over 18 million full-text articles from more than 15,000 scientific journals. ### Your journals are on DeepDyve Read from thousands of the leading scholarly journals from SpringerNature, Elsevier, Wiley-Blackwell, Oxford University Press and more. All the latest content is available, no embargo periods. DeepDyve ### Freelancer DeepDyve ### Pro Price FREE$49/month
\$360/year

Save searches from
Google Scholar,
PubMed

Create lists to
organize your research

Export lists, citations

Read DeepDyve articles

Abstract access only

Unlimited access to over
18 million full-text articles

Print

20 pages / month

PDF Discount

20% off