Complete asymptotic expansion of the spectral function of multidimensional almost-periodic Schrodinger operators

Abstract

We prove the complete asymptotic expansion of the spectral function (the integral kernel of the spectral projection) of a Schrodinger operator $H=-\Delta +b$ acting in $R^d$ when the potential $b$ is real and either smooth periodic, or generic quasi-periodic (finite linear combination of exponentials), or belongs to a wide class of almost-periodic functions.

41 pages, 32 references. arXiv admin note: substantial text overlap with arXiv:1004.2939, arXiv:1204.1076

Cited by in corpus (1)

• Absence of eigenvalues of analytic quasi-periodic Schrodinger operators on ${\mathbb{R}}^d$