Ellipses and Polynomial-to-Polynomial Mapping of Weighted Szego Projections
Complex Variables
2023-08-29 v1
Abstract
We take a look at weighted Szego projections on ellipses and ellipsoids in light of some known results of real and complex potential theory. We show that on planar ellipses there is a weighted Szego projection taking polynomials to polynomials without increasing degree.
Cite
@article{arxiv.2308.13650,
title = {Ellipses and Polynomial-to-Polynomial Mapping of Weighted Szego Projections},
author = {Alan R. Legg},
journal= {arXiv preprint arXiv:2308.13650},
year = {2023}
}
Comments
10 pages