English

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

Complex Variables 2021-07-01 v1

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.

Keywords

Cite

@article{arxiv.2106.15996,
  title  = {Holomorphic Rational Functions of Several Variables and Sums of Squares of Polynomials},
  author = {M. F. Bessmertnyi},
  journal= {arXiv preprint arXiv:2106.15996},
  year   = {2021}
}

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15 pages