Preserving positive polynomials and beyond

Mathematics – Classical Analysis and ODEs

Scientific paper

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15 pages, no figures, LaTeX2e

Scientific paper

Following the classical approach of P\'olya-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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