<script type="text/javascript">
<!--
document.write('<div id="oa_widget"></div>');
document.write('<script type="text/javascript" src="https://www.openaire.eu/index.php?option=com_openaire&view=widget&format=raw&projectId=undefined&type=result"></script>');
-->
</script>

COPY SCRIPT

For further information contact us at helpdesk@openaire.eu

Two universality results for polynomial reproducing kernels

Name: Two universality results for polynomial reproducing kernels
Creator: Brian Simanek
Keywords: Mathematics - Classical Analysis and ODEs, Classical Analysis and ODEs (math.CA), FOS: Mathematics, 0101 mathematics, 01 natural sciences

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Apr 2017Embargo end date: 01 Jan 2016Publisher:Elsevier BVJournal:Journal of Approximation Theory, volume 216, pages 16-37 (issn: 0021-9045,

Authors: Brian Simanek;

doi: 10.1016/j.jat.2017.01.002 , 10.48550/arxiv.1605.09335

arXiv: http://arxiv.org/abs/1605.09335

Two universality results for polynomial reproducing kernels

- Summary
- Subjects
- Metrics

Abstract

We prove two new universality results for polynomial reproducing kernels of compactly supported measures. The first applies to measures on the unit circle with a jump and a singularity in the weight at $1$ and the second applies to area-type measures on a certain disconnected polynomial lemniscate. In both cases, we apply methods developed by Lubinsky to obtain our results.

21 pages, 1 figure. Version 2 incorporates new references that shorten and simplify the proofs in Section 2. Other minor typos are corrected

Related Organizations

Baylor University
United States

Keywords

Mathematics - Classical Analysis and ODEs, Classical Analysis and ODEs (math.CA), FOS: Mathematics

Impact byBIP!

	citations This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	3
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Average
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Average
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Average

Found an issue? Give us feedback

Average

Green

hybrid

Fields of Science

Fields of Science