Poncelet's theorem, Sendov's conjecture, and Blaschke products

DOI10.1016/j.jmaa.2009.09.058zbMath1183.30062OpenAlexW1980424390WikidataQ123012142 ScholiaQ123012142MaRDI QIDQ847752

Pamela Gorkin, Karl Voss, Ulrich Daepp

Publication date: 19 February 2010

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2009.09.058

zbMATH Keywords

numerical rangeBlaschke productPoncelet curveunitary dilationSendov's conjecture

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) General theory of linear incidence geometry and projective geometries (51A05) Blaschke products (30J10)

Related Items (16)

On the commutation of generalized means on probability spaces ⋮ Ellipses and compositions of finite Blaschke products ⋮ Finite Blaschke products and the golden ratio ⋮ Poncelet-Darboux, Kippenhahn, and Szegő: interactions between projective geometry, matrices and orthogonal polynomials ⋮ Poncelet's theorem, paraorthogonal polynomials and the numerical range of compressed multiplication operators ⋮ A new Poncelet curve for the boundary generating curve of a numerical range ⋮ Decomposable Blaschke products of degree 2ⁿ ⋮ Inscribed ellipses and Blaschke products ⋮ Numerical ranges of \(C_{0}(N)\) contractions ⋮ Decomposing finite Blaschke products ⋮ Extreme values of the derivative of Blaschke products and hypergeometric polynomials ⋮ Möbius transformations and Blaschke products: the geometric connection ⋮ Curves of geodesic centers and Poncelet ellipses ⋮ On partial isometries with circular numerical range ⋮ On foci of ellipses inscribed in cyclic polygons ⋮ The group of invariants of an inner function with finite spectrum

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