Complete asymptotic expansion of the integrated density of states of multidimensional almost-periodic Schrödinger operators

• Autores: Leonid Parnovski, Roman Shterenberg
• Localización: Annals of mathematics, ISSN 0003-486X, Vol. 176, Nº 2, 2012, págs. 1039-1096
• Idioma: inglés
• DOI: 10.4007/annals.2012.176.2.8
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• Resumen

  • We prove the complete asymptotic expansion of the integrated density of states of a Schrödinger operator H=-?+b acting in R d when the potential b is either smooth periodic, or generic quasi-periodic (finite linear combination of exponentials), or belongs to a wide class of almost-periodic functions.