On the smoothness of gap boundaries for generalized Harper operators

2003/09/02 by G. Nenciu, Gheorghe Nenciu, Nenciu, Gheorghe · 1 citation
Mathematics · Physics and Astronomy · #47B37 #81Q10 #FOS: Mathematics #FOS: Physical sciences #Holomorphic and Operator Theory #Mathematical Analysis and Transform Methods #Mathematical Physics (math-ph) #Spectral Theory (math.SP) #Spectral Theory in Mathematical Physics #math-ph #math.MP #math.SP #msc:47B37 #msc:81Q10

paper · pdf · doi:10.48550/arxiv.math-ph/0309009

19 pages, typos corrected

openalex publication_date 2003/09/02 · arxiv created 2006/03/25 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Results concerning set theoretic continuity properties of the spectrum of the Harper operator are extended to a large class (generalized Harper operators (GHO)) of operators in L²(\bZ²).

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