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arXiv · 0801.1749

Preserving positive polynomials and beyond

Julius Borcea·Alexander Guterman·Boris Shapiro
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Abstract

Following the classical approach of Pólya-Schur theory we initiate in this paper the study of linear operators acting on $\mathbb{R}[x]$ and preserving either the set of positive univariate polynomials or similar sets of non-negative and elliptic polynomials.

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Julius Borcea, Alexander Guterman, Boris Shapiro. 2008-01-22. Preserving positive polynomials and beyond. https://arxiv.org/abs/0801.1749

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