Preserving positive polynomials and beyond
Classical Analysis and ODEs
2008-01-22 v2 Functional Analysis
Abstract
Following the classical approach of P\'olya-Schur theory we initiate in this paper the study of linear operators acting on and preserving either the set of positive univariate polynomials or similar sets of non-negative and elliptic polynomials.
Cite
@article{arxiv.0801.1749,
title = {Preserving positive polynomials and beyond},
author = {Julius Borcea and Alexander Guterman and Boris Shapiro},
journal= {arXiv preprint arXiv:0801.1749},
year = {2008}
}
Comments
15 pages, no figures, LaTeX2e