Preserving positive polynomials and beyond

2008/01/11 by Julius Borcea, Borcea, Julius, Alexander Guterman +3
Computer Science · Mathematics · #12D10 (Secondary) #12D15 #15A04 (Primary) #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Functional Analysis (math.FA) #Mathematical functions and polynomials #Mathematics and Applications #Polynomial and algebraic computation #math.CA #math.FA #msc:12D10 #msc:12D15 #msc:15A04

paper · pdf · doi:10.48550/arxiv.0801.1749

15 pages, no figures, LaTeX2e

openalex publication_date 2008/01/11 · arxiv created 2008/01/22 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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

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