Bounded solutions of self-adjoint second order linear difference equations with periodic coeffients

DOI10.1515/MATH-2018-0007zbMath1391.39010OpenAlexW2793486979MaRDI QIDQ1643973

Y. Aharonov

Publication date: 20 June 2018

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

Full work available at URL: https://doi.org/10.1515/math-2018-0007

zbMATH Keywords

periodic coefficientsbounded solutionsdiscrete Schrödinger operatorMathieu operator

Mathematics Subject Classification ID

Discrete version of topics in analysis (39A12) Difference operators (39A70)

Related Items (1)

Three solutions to Dirichlet problems for second-order self-adjoint difference equations involving \(p\)-Laplacian

Cites Work

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• The coexistence problem for the discrete Mathieu operator
• Cantor spectrum for the almost Mathieu operator
• Explicit inverse of a tridiagonal \(k\)-Toeplitz matrix
• The Ten Martini problem
• Floquet theory for second order linear homogeneous difference equations
• Eigenvalues, eigenfunctions and Green's functions on a path via Chebyshev polynomials
• Solving the Ten Martini Problem

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