A spectral Szegő theorem on the real line

DOI10.1016/j.aim.2019.106851zbMath1428.42046arXiv1711.05671OpenAlexW2981966775MaRDI QIDQ2007739

Roman Bessonov, Sergey A. Denisov

Publication date: 22 November 2019

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

Full work available at URL: https://arxiv.org/abs/1711.05671

zbMATH Keywords

entropyinverse problemstring equationMuckenhoupt classSzegő classcanonical Hamiltonian system

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Maximal functions, Littlewood-Paley theory (42B25) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Inverse problems involving ordinary differential equations (34A55) Nonselfadjoint operator theory in quantum theory including creation and destruction operators (81Q12)

Related Items (13)

A New Life of the Classical Szegő Formula ⋮ De Branges Canonical Systems with Finite Logarithmic Integral ⋮ Szegő condition, scattering, and vibration of Krein strings ⋮ On rate of convergence for universality limits ⋮ Quantum graphs on radially symmetric antitrees ⋮ Zero sets, entropy, and pointwise asymptotics of orthogonal polynomials ⋮ Jacobi matrices with lacunary spectrum ⋮ Mate-Nevai-Totik theorem for Krein systems ⋮ On the absolutely continuous spectrum of generalized indefinite strings ⋮ Entropy function and orthogonal polynomials ⋮ Szegő condition and scattering for one-dimensional Dirac operators ⋮ Szegő's theorem for canonical systems: the Arov gauge and a sum rule ⋮ On the absolutely continuous spectrum of generalized indefinite strings. II

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