Spectral edge behavior for eventually monotone Jacobi and Verblunsky coefficients

DOI10.4171/JST/273WikidataQ128176745 ScholiaQ128176745MaRDI QIDQ2335840

Milivoje Lukic

Publication date: 15 November 2019

Published in: Journal of Spectral Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.09461

zbMATH Keywords

spectral densityJacobi matrixmonotone coefficientsCMV matrixpolynomially decaying coefficients

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Difference operators (39A70) Jacobi (tridiagonal) operators (matrices) and generalizations (47B36)

Related Items (1)

Spectra of Cayley graphs of the lamplighter group and random Schrödinger operators

Cites Work

• On higher-order Szegő theorems with a single critical point of arbitrary order
• Zeroes of the spectral density of the Schrödinger operator with the slowly decaying Wigner-von Neumann potential
• Monotone Jacobi parameters and non-Szegő weights
• One-dimensional Schrödinger operators with random or deterministic potentials: New spectral types
• On subordinacy and analysis of the spectrum of one-dimensional Schrödinger operators
• Eigenfunctions, transfer matrices, and absolutely continuous spectrum of one-dimensional Schrödinger operators
• Zeroes of the spectral density of discrete Schrödinger operator with Wigner-von Neumann potential
• Equilibrium measures and capacities in spectral theory
• Zur Spektraltheorie von Sturm-Liouville-Operatoren
• An Invitation to Random Schroedinger operators
• Schrödinger operators with sparse potentials: asymptotics of the Fourier transform of the spectral measure.
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