Kotani-Last problem and Hardy spaces on surfaces of Widom type

DOI10.1007/s00222-013-0495-7zbMath1319.47030arXiv1210.7069OpenAlexW2152333358MaRDI QIDQ464281

Peter Yuditskii, Alexander Volberg

Publication date: 17 October 2014

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.7069

zbMATH Keywords

direct Cauchy theoremabsolutely continuous spectrumalmost periodicityHardy spaces on Riemann surfacesreflectionless Jacobi matricesWidom domains

Mathematics Subject Classification ID

Jacobi (tridiagonal) operators (matrices) and generalizations (47B36) Classification theory of Riemann surfaces (30F20) Hardy spaces (30H10)

Related Items (19)

The spectrum of a Schrödinger operator with small quasi-periodic potential is homogeneous ⋮ Remarks on the generalized reflectionless Schrödinger potentials ⋮ Ahlfors problem for polynomials ⋮ Orthogonal polynomials on generalized Julia sets ⋮ Asymptotics of Chebyshev polynomials. V: Residual polynomials ⋮ Schrödinger operators with dynamically defined potentials ⋮ One-dimensional quasiperiodic operators: global theory, duality, and sharp analysis of small denominators ⋮ Widom factors and Szegő-Widom asymptotics, a review ⋮ Kotani-Last problem and Hardy spaces on surfaces of Widom type ⋮ Asymptotics of Chebyshev polynomials. II: DCT subsets of \(\mathbb{R}\) ⋮ Martin Functions of Fuchsian Groups and Character Automorphic Subspaces of the Hardy Space in the Upper Half Plane ⋮ KdV hierarchy via Abelian coverings and operator identities ⋮ Reflectionless discrete Schrödinger operators are spectrally atypical ⋮ Asymptotics of Chebyshev polynomials. I: Subsets of \({\mathbb {R}}\) ⋮ Direct Cauchy theorem and Fourier integral in Widom domains ⋮ Dynamics in the Szeő class and polynomial asymptotics ⋮ Periodic GMP matrices ⋮ Orthogonal rational functions with real poles, root asymptotics, and GMP matrices ⋮ Counterexamples to the Kotani-Last conjecture for continuum Schrödinger operators via character-automorphic Hardy spaces

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