Preserving positive polynomials and beyond

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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.
15 pages, no figures, LaTeX2e

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Classical Analysis and ODEs, Functional Analysis, 12D15, 15A04 (Primary); 12D10 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/146278

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0801.1749
 http://arxiv.org/abs/0801.1749

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arXiv