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Ellipses and compositions of finite Blaschke products

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Abstract We provide a new proof of a theorem of Fujimura characterizing Blaschke products of degree-4 that are compositions of two degree-2 Blaschke products, connect this result to the numerical… Click to show full abstract

Abstract We provide a new proof of a theorem of Fujimura characterizing Blaschke products of degree-4 that are compositions of two degree-2 Blaschke products, connect this result to the numerical ranges of certain operators, and characterize Poncelet ellipses that are inscribed in quadrilaterals geometrically and algebraically.

Keywords: blaschke; compositions finite; ellipses compositions; finite blaschke; blaschke products

Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2017

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