Victor Ivrii: Complete Spectral Asymptotics for Periodic and Almost Periodic Perturbations of Constant Operators and Bethe-Sommerfeld Conjecture in Semiclassical Settings

Tid: Ti 2019-02-19 kl 14.00 - 15.00

Föreläsare: Victor Ivrii, University of Toronto

Plats: Seminar Hall Kuskvillan, Institut Mittag-Leffler

Under certain assumptions we derive a complete semiclassical asymptotics of a spectral function of the constant coefficient scalar operator perturbed by almost periodic “smaller” operator.In particular, a complete semiclassical asymptotics of the integrated density of states also holds.
Under similar assumptions for periodic perturbations Bethe-Sommerfeld conjecture in semiclassical settings holds.
 

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Tillhör: Institutionen för matematik
Senast ändrad: 2019-02-15