Point spectrum for quasi-periodic long range operators
type: Item
instance of: scholarly article
title: Point spectrum for quasi-periodic long range operators
zbMATH Open document ID: 1311.81126
DOI: 10.4171/JST/85
author: Jiangong You
author: Shiwen Zhang
author: Qi Zhou
published in: Journal of Spectral Theory
publication date: 2015-04-14T00:00:00Z
review text: Summary: We generalize Gordon type argument to quasi-periodic operators with finite range interaction and prove that these operators have no point spectrum when the rational approximation rate of the base frequency is relatively large. We also show that, for any irrational frequency, there are operators with infinite range interaction possessing point spectrum. This is a new phenomenon which can not happen in the finite range interaction case.
Mathematics Subject Classification ID: 81Q10
Mathematics Subject Classification ID: 37C55
zbMATH DE Number: 6424790
zbMATH Keywords: point spectrum
zbMATH Keywords: quasi-periodic
zbMATH Keywords: long-range operator
zbMATH Keywords: reducibility
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.4171/jst/85
OpenAlex ID: W2010657977
description: scientific article; zbMATH DE number 6424790