Limit-periodic Verblunsky coefficients for orthogonal polynomials on the unit circle

DOI10.1016/j.jmaa.2012.04.082zbMath1263.47035arXiv1112.0988OpenAlexW2963258903MaRDI QIDQ442485

Darren C. Ong

Publication date: 1 August 2012

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1112.0988

zbMATH Keywords

spectral theoryCantor groupCMV operatorlimit periodicityminimal translation

Mathematics Subject Classification ID

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

Related Items

Spectral approximation for ergodic CMV operators with an application to quantum walks ⋮ Absolutely continuous spectrum for CMV matrices with small quasi-periodic Verblunsky coefficients ⋮ Quantitative version of Gordon's lemma for Hamiltonian with finite range ⋮ Ballistic transport for limit-periodic Jacobi matrices with applications to quantum many-body problems ⋮ Purely singular continuous spectrum for limit-periodic CMV operators with applications to quantum walks ⋮ Purely singular continuous spectrum for CMV operators generated by subshifts ⋮ Purely singular continuous spectrum for Sturmian CMV matrices via strengthened Gordon Lemmas ⋮ Cantor spectrum for CMV matrices with almost periodic Verblunsky coefficients

Cites Work

• Spectral properties of limit-periodic Schrödinger operators
• On the spectrum and Lyapunov exponent of limit periodic Schrödinger operators
• Almost periodic Schrödinger operators. I: Limit periodic potentials
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item