On new relations between spectral properties of Jacobi matrices and their coefficients

From MaRDI portal
Publication:1409245

DOI10.1007/s00220-003-0924-3zbMath1135.47303OpenAlexW2063068296MaRDI QIDQ1409245

A. A. Laptev, Serguei Naboko, Oleg Safronov

Publication date: 8 October 2003

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00220-003-0924-3




Related Items (26)

The spectral measure of a Jacobi matrix in terms of the Fourier transform of the perturbationLarge deviations and sum rules for spectral theory: a pedagogical approachLarge deviations and the Lukic conjectureOn the preservation of absolutely continuous spectrum for Schrödinger operatorsTrace Formulas for Schrödinger Operators in Connection with Scattering Theory for Finite-gap BackgroundsOn higher-order Szegő theorems with a single critical point of arbitrary orderSchrödinger operators with many bound statesOn a conjecture for higher-order Szegő theoremsOn a new class of special functions generated by integral-difference operatorsKillip-Simon problem and Jacobi flow on GMP matricesOn sum rules of special form for Jacobi matrices.Modern results in the spectral analysis for a class of integral-difference operators and application to physical processesA class of Schrödinger operators with decaying oscillatory potentialsSum rules and the Szegő condition for orthogonal polynomials on the real lineDestruction of absolutely continuous spectrum by perturbation potentials of bounded variation\(\ell^2\) bounded variation and absolutely continuous spectrum of Jacobi matricesPerturbations of orthogonal polynomials with periodic recursion coefficientsHigher-order Szegő theorems with two singular pointsSquare-summable variation and absolutely continuous spectrumJost functions and Jost solutions for Jacobi matrices. I: A necessary and sufficient condition for Szegő asymptoticsThe spectral bounds of the discrete Schrödinger operatorAbsolutely continuous spectrum of discrete Schrödinger operators with slowly oscillating potentialsNew spectral estimations for a class of integral-difference operators and generalisation to higher dimensionsSum rules for Jacobi matrices and divergent Lieb--Thirring sumsSpectral properties of Jacobi matrices and sum rules of special formOn the spectral L2 conjecture, 3/2-Lieb-Thirring inequality and distributional potentials



Cites Work


This page was built for publication: On new relations between spectral properties of Jacobi matrices and their coefficients