Möbius transformations and Blaschke products: the geometric connection

DOI10.1016/j.laa.2016.11.032zbMath1380.30040OpenAlexW2554111960MaRDI QIDQ730624

Pamela Gorkin, Ulrich Daepp, Andrew Shaffer, Karl Voss

Publication date: 28 December 2016

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2016.11.032

zbMATH Keywords

numerical rangecomposition operatorBlaschke productsPoncelet curvedisk automorphism

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Blaschke products (30J10)

Related Items

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 ⋮ Decomposable Blaschke products of degree 2ⁿ ⋮ Numerical range and compressions of the shift ⋮ Compressed resolvents, Schur functions, Nevanlinna families and their transformations ⋮ Norms of truncated Toeplitz operators and numerical radii of restricted shifts

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