On the direct Cauchy theorem in Widom domains: positive and negative examples
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Publication:766022
DOI10.1007/BF03321869zbMath1246.30084arXiv1007.4901MaRDI QIDQ766022
Publication date: 22 March 2012
Published in: Computational Methods and Function Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1007.4901
entire functionsdirect Cauchy theoremhomogeneous setHardy spaces on Riemann surfacesreflectionless Jacobi matricesMartin functionWidom domain
Jacobi (tridiagonal) operators (matrices) and generalizations (47B36) Classification theory of Riemann surfaces (30F20) Hardy spaces (30H10)
Related Items
On the \(L^1\) extremal problem for entire functions ⋮ Widom factors and Szegő-Widom asymptotics, a review ⋮ Asymptotic Properties of Jacobi Matrices for a Family of Fractal Measures ⋮ Kotani-Last problem and Hardy spaces on surfaces of Widom type ⋮ Szegő's theorem on Parreau-Widom sets ⋮ Asymptotics of Chebyshev polynomials. II: DCT subsets of \(\mathbb{R}\) ⋮ KdV hierarchy via Abelian coverings and operator identities ⋮ Orthogonal polynomials associated with equilibrium measures on \(\mathbb {R}\) ⋮ Direct Cauchy theorem and Fourier integral in Widom domains ⋮ Dynamics in the Szeő class and polynomial asymptotics
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