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

Parnovski, L; Shterenberg, R; (2016) Complete asymptotic expansion of the spectral function of multidimensional almost-periodic Schrodinger operators. Duke Mathematical Journal , 165 (3) pp. 509-561. 10.1215/00127094-3166415. Green open access

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Abstract

We prove the existence of a complete asymptotic expansion of the spectral function (the integral kernel of the spectral projection) of a Schrödinger operator H=−Δ+bH=−Δ+b acting in RdRd when the potential bb is real and either smooth periodic, or generic quasiperiodic (finite linear combination of exponentials), or belongs to a wide class of almost-periodic functions.

Type: Article
Title: Complete asymptotic expansion of the spectral function of multidimensional almost-periodic Schrodinger operators
Open access status: An open access version is available from UCL Discovery
DOI: 10.1215/00127094-3166415
Publisher version: http://dx.doi.org/10.1215/00127094-3166415
Language: English
Additional information: Originally published in Project Euclid: http://projecteuclid.org/euclid.dmj
Keywords: Periodic operators, almost-periodic pseudodifferential operators, spectral function
UCL classification: UCL
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics
URI: https://discovery.ucl.ac.uk/id/eprint/1451319
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