Ahlfors problem for polynomials

DOI10.1070/SM8878zbMath1402.30005arXiv1612.02949OpenAlexW2963561307MaRDI QIDQ4576882

Peter Yuditskii, Benjamin Eichinger

Publication date: 11 July 2018

Published in: Sbornik: Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1612.02949

zbMATH Keywords

reproducing kernelChebyshev polynomialanalytic capacityhyperelliptic Riemann surfaceAbel-Jacobi inversioncomplex Green's and martin functions

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Compact Riemann surfaces and uniformization (30F10) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Analytic theory of abelian varieties; abelian integrals and differentials (14K20) Capacity and harmonic measure in the complex plane (30C85) Polynomials and rational functions of one complex variable (30C10) Asymptotic representations in the complex plane (30E15)

Related Items (5)

Asymptotics of Chebyshev polynomials. V: Residual polynomials ⋮ Widom factors and Szegő-Widom asymptotics, a review ⋮ Sharp Remez inequality ⋮ Asymptotics of Chebyshev polynomials. II: DCT subsets of \(\mathbb{R}\) ⋮ Pointwise Remez inequality

Cites Work

• Counterexamples to the Kotani-Last conjecture for continuum Schrödinger operators via character-automorphic Hardy spaces
• Chebyshev polynomials on a system of curves
• Polynomials of the best uniform approximation to \(\text{sgn}(x)\) on two intervals
• Kotani-Last problem and Hardy spaces on surfaces of Widom type
• Asymptotics of Chebyshev polynomials. I: Subsets of \({\mathbb {R}}\)
• Szegő-Widom asymptotics of Chebyshev polynomials on circular arcs
• Über die analytische Kapazität
• Tata lectures on theta. I. With the collaboration of C. Musili, M. Nori, E. Previato, and M. Stillman
• The Pick interpolation theorem for finitely connected domains
• Almost periodic Jacobi matrices with homogeneous spectrum, infinite dimensional Jacobi inversion, and Hardy spaces of character-automorphic functions
• Killip-Simon problem and Jacobi flow on GMP matrices
• Bernstein- and Markov-type inequalities for rational functions
• Theta functions on Riemann surfaces
• Extremal polynomials associated with a system of curves in the complex plane
• Zero-pole interpolation for meromorphic matrix functions on an algebraic curve and transfer functions of 2D systems
• Basic Complex Analysis
• ASYMPTOTIC PROPERTIES OF POLYNOMIALS ORTHOGONAL ON A SYSTEM OF CONTOURS, AND PERIODIC MOTIONS OF TODA LATTICES
• On the Green's function of Fuchsian groups
• Inequalities for derivatives of rational functions on several intervals
• Comb functions
• FUNDAMENTAL PROPERTIES OF POLYNOMIALS ORTHOGONAL ON A CONTOUR
• Schwarz's Lemma and the Szego Kernel Function
• Tata lectures on theta. II: Jacobian theta functions and differential equations. With the collaboration of C. Musili, M. Nori, E. Previato, M. Stillman, and H. Umemura
• A special case of de Branges' theorem on the inverse monodromy problem
• Orthogonal polynomials for exponential weights
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Ahlfors problem for polynomials