Partial Classification of Polynomials and an Orthonormal Basis Construction on the Associated Basin of Attraction
Functional Analysis
2018-12-27 v1 Complex Variables
Abstract
In the paper "Infinite product representations for kernels and iterations of functions", the authors associate certain Fatou subsets with reproducing kernel Hilbert spaces. They also present a method for constructing an orthonormal basis for said Hilbert space, but the method depends on the polynomial of the given Fatou set. We provide a partial classification of those polynomials the method applies to.
Keywords
Cite
@article{arxiv.1812.09757,
title = {Partial Classification of Polynomials and an Orthonormal Basis Construction on the Associated Basin of Attraction},
author = {James Tipton},
journal= {arXiv preprint arXiv:1812.09757},
year = {2018}
}
Comments
8 pages, 2 figures