Two-dimensional shapes and lemniscates
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Publication:3105423
zbMath1246.37062arXiv1003.4567MaRDI QIDQ3105423
Peter Ebenfelt, Dmitry Khavinson, Harold S. Shapiro
Publication date: 5 January 2012
Full work available at URL: https://arxiv.org/abs/1003.4567
lemniscatesBlaschke productsdiffeomorphism of the unit circleKirillov finger print theoremRiemann-Horwity theorem
Dynamical systems involving maps of the circle (37E10) Geometric function theory (30C99) Blaschke products (30J10)
Related Items (20)
Polynomials and lemniscates of indefiniteness ⋮ Characterizing meromorphic pseudo-lemniscates ⋮ On the geometry of random lemniscates ⋮ On the Exponential Transform of Lemniscates ⋮ A refinement for rational functions of Pólya's method to construct Voronoi diagrams ⋮ Computing polynomial conformal models for low-degree Blaschke products ⋮ On removable sets for holomorphic functions ⋮ Fingerprints of closed trajectories of a Strebel quadratic differential ⋮ Inradius of random lemniscates ⋮ Removability and non-injectivity of conformal welding ⋮ Polynomial Lemniscates and Their Fingerprints: From Geometry to Topology ⋮ Conformal models and fingerprints of pseudo-lemniscates ⋮ Conformal equivalence of analytic functions on compact sets ⋮ Fourier series of circle embeddings ⋮ Shapes, fingerprints and rational lemniscates ⋮ Some recent results on the geometry of complex polynomials: the Gauss-Lucas theorem, polynomial lemniscates, shape analysis, and conformal equivalence ⋮ A symplectic functional analytic proof of the conformal welding theorem ⋮ Critical Points, the Gauss Curvature Equation and Blaschke Products ⋮ Level curve configurations and conformal equivalence of meromorphic functions ⋮ On the harmonic measure and capacity of rational lemniscates
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