Linear operators on polynomials preserving roots in open circular domains

DOI10.1090/proc/12109zbMath1332.30013arXiv1111.2209OpenAlexW1803105796MaRDI QIDQ3450065

Eugeny Melamud

Publication date: 2 November 2015

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1111.2209

zbMATH Keywords

zeros of polynomialslinear operators on polynomial spacesPólya-Schur theoremcircular domains

Mathematics Subject Classification ID

Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Linear operators on function spaces (general) (47B38)

Related Items (2)

Classification theorems for operators preserving zeros in a strip ⋮ A representation theoretic explanation of the Borcea-Brändén characterization

Cites Work

• Pólya-Schur master theorems for circular domains and their boundaries
• Real zero polynomials and Pólya-Schur type theorems
• Multivariate Pólya-Schur classification problems in the Weyl algebra

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