Regularity of the spectrum for the almost Mathieu operator

DOI10.1090/S0002-9939-00-05752-XzbMath0979.47005MaRDI QIDQ2706581

Norbert Riedel

Publication date: 20 March 2001

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

integrated density of statesdiophantine conditionequilibrium distributionalmost Mathieu operator

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Harmonic, subharmonic, superharmonic functions in two dimensions (31A05) General theory of (C^*)-algebras (46L05) Linear difference operators (47B39) Homogeneous approximation to one number (11J04)

Related Items

Absence of Cantor spectrum for a class of Schrödinger operators

Cites Work

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• Gauss polynomials and the rotation algebra
• Propriétés spectrales des algèbres de Banach
• Almost periodic Jacobi matrices with homogeneous spectrum, infinite dimensional Jacobi inversion, and Hardy spaces of character-automorphic functions
• The spectrum of a class of almost periodic operators