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.
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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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