Factorization of polynomials with analytic coefficients
Algebraic Geometry
2012-03-01 v1
Abstract
We study monic univariate polynomials whose coefficients are analytic functions of a real variable and whose roots lie in a specified analytic curve. These include characteristic polynomials of unitary and hermitian matrices whose entries are analytic functions. We use a result of Newton to prove that every polynomial in such a class is a product of degree one polynomials in the class.
Cite
@article{arxiv.1202.6639,
title = {Factorization of polynomials with analytic coefficients},
author = {Wayne Lawton},
journal= {arXiv preprint arXiv:1202.6639},
year = {2012}
}
Comments
submitted for publication in Communications in Mathematics and Applications on 1 March 2012