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arXiv · 1202.6639

Factorization of polynomials with analytic coefficients

Wayne Lawton
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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.

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Wayne Lawton. 2012-02-29. Factorization of polynomials with analytic coefficients. https://arxiv.org/abs/1202.6639

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