Preserving positive polynomials and beyond

Details Preserving positive polynomials and beyond Preserving positive polynomials and beyond

2008-01-11

arxiv.org/abs/0801.1749v2

Mathematics

Classical Analysis and ODEs

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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