Reducibility and point spectrum for linear quasi-periodic skew-products

zbMath0901.34043MaRDI QIDQ1126730

L. Hakan Eliasson

Publication date: 6 August 1998

Published in: Documenta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/225807

zbMATH Keywords

perturbation theorypoint spectrumquasi-periodicitydiscrete Schrödinger equationsKAM-typelinear quasi-periodic skew-product systems

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) General spectral theory of ordinary differential operators (34L05) Ergodic theorems, spectral theory, Markov operators (37A30) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27)

Related Items (10)

A normal form theorem for Brjuno skew systems through renormalization ⋮ Quasi-periodic solutions of completely resonant nonlinear wave equations ⋮ On reducibility for a class of \(n\)-dimensional quasi-periodic systems with a small parameter ⋮ Resummation of perturbation series and reducibility for Bryuno skew-product flows ⋮ Reducibility for wave equations of finitely smooth potential with periodic boundary conditions ⋮ One-dimensional quasiperiodic operators: global theory, duality, and sharp analysis of small denominators ⋮ Iterative techniques for computing the linearized manifolds of quasiperiodic tori ⋮ Reducibility of the quantum harmonic oscillator in d-dimensions with finitely differentiable perturbations ⋮ Hamiltonian loops from the ergodic point of view ⋮ Reducibility of slow quasi-periodic linear systems

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