Two Universality Results for Polynomial Reproducing Kernels
Classical Analysis and ODEs
2021-08-11 v2
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 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.
Cite
@article{arxiv.1605.09335,
title = {Two Universality Results for Polynomial Reproducing Kernels},
author = {Brian Simanek},
journal= {arXiv preprint arXiv:1605.09335},
year = {2021}
}
Comments
21 pages, 1 figure. Version 2 incorporates new references that shorten and simplify the proofs in Section 2. Other minor typos are corrected