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- W4301896380 abstract "We apply the methods of classical approximation theory (extreme properties of polynomials) to study the essential support $Sigma_{ac}$ of the absolutely continuous spectrum of Jacobi matrices. First, we prove an upper bound on the measure of $Sigma_{ac}$ which takes into account the value distribution of the diagonal elements, and implies the bound due to Deift-Simon and Poltoratski-Remling. Second, we generalise the differential inequality of Deift-Simon for the integrated density of states associated with the absolutely continuous spectrum to general Jacobi matrices." @default.
- W4301896380 created "2022-10-06" @default.
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- W4301896380 date "2010-07-28" @default.
- W4301896380 modified "2023-09-25" @default.
- W4301896380 title "On the Measure of the Absolutely Continuous Spectrum for Jacobi Matrices" @default.
- W4301896380 doi "https://doi.org/10.48550/arxiv.1007.5033" @default.
- W4301896380 hasPublicationYear "2010" @default.
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