Killip-Simon problem and Jacobi flow on GMP matrices

DOI10.1016/j.aim.2017.11.005OpenAlexW2963866112MaRDI QIDQ1682016

Peter Yuditskii

Publication date: 28 November 2017

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

Full work available at URL: https://arxiv.org/abs/1505.00972

zbMATH Keywords

integrable systemsJacobi matricesCMV matricesHardy spaces on Riemann surfacesgeneralized Szegő theoremsHilbert-Schmidt perturbationsJacobi flow

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Perturbation theory of linear operators (47A55) Jacobi (tridiagonal) operators (matrices) and generalizations (47B36)

Related Items (7)

Large deviations and sum rules for spectral theory: a pedagogical approach ⋮ Ahlfors problem for polynomials ⋮ Stability of spectral types of quasi-periodic Schrödinger operators with respect to perturbations by decaying potentials ⋮ Periodic GMP matrices ⋮ Sum rules via large deviations: extension to polynomial potentials and the multi-cut regime ⋮ Szegő's theorem for canonical systems: the Arov gauge and a sum rule ⋮ Orthogonal rational functions with real poles, root asymptotics, and GMP matrices

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