Factorization of polynomials with analytic coefficients

Details Factorization of polynomials with analytic coefficients Factorization of polynomials with analytic coefficients

2012-02-29

arxiv.org/abs/1202.6639v1

Mathematics

Algebraic Geometry

submitted for publication in Communications in Mathematics and Applications on 1 March 2012

Scientific paper

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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