Holomorphic Rational Functions of Several Variables and Sums of Squares of Polynomials

2021/06/30 by Bessmertnyi, M. F.
#15A22 #32A08 #Complex Variables (math.CV) #FOS: Mathematics

paper · doi:10.48550/arxiv.2106.15996

Abstract

Necessary and sufficient conditions are obtained under which the numerator of the partial derivative of a rational function holomorphic in open upper poly-halfplane is the sum of squares of polynomials.

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