Preserving positive polynomials and beyond

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.

15 pages, no figures, LaTeX2e

Cited by in corpus (1)

• Classifications of linear operators preserving elliptic, positive and non-negative polynomials