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- W2786689571 abstract "We prove a Jensen-disc type theorem for polynomials $pinmathbb{R}[z]$ having all their zeros in a sector of the complex plane. This result is then used to prove the existence of a collection of linear operators $Tcolonmathbb{R}[z]tomathbb{R}[z]$ which map polynomials with their zeros in a closed convex sector $|arg z| leq theta<pi/2$ to polynomials with zeros in a smaller sector $|arg z| leq gamma<theta$. We, therefore, provide the first example of a zero-sector reducing operator." @default.
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- W2786689571 date "2018-02-07" @default.
- W2786689571 modified "2023-09-27" @default.
- W2786689571 title "On Zero-Sector Reducing Operators" @default.
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