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• W3104365517 startingPage "465" @default.
• W3104365517 abstract "We characterize all linear operators on finite or infinite-dimensional polynomial spaces that preserve the property of having the zero set inside a prescribed region $Omegasubseteq mathbb{C}$ for arbitrary closed circular domains $Omega$ (i.e., images of the closed unit disk under a Mobius transformation) and their boundaries. This provides a natural framework for dealing with several long-standing fundamental problems, which we solve in a unified way. In particular, for $Omega=mathbb{R}$ our results settle open questions that go back to Laguerre and P'olya-Schur." @default.
• W3104365517 created "2020-11-23" @default.
• W3104365517 creator A5066444388 @default.
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• W3104365517 date "2009-07-12" @default.
• W3104365517 modified "2023-10-05" @default.
• W3104365517 title "Pólya-Schur master theorems for circular domains and their boundaries" @default.
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• W3104365517 doi "https://doi.org/10.4007/annals.2009.170.465" @default.
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