2020
Jun
03

# Analysis Seminar: Victor Ivrii (Toronto) "Complete Spectral Asymptotics for Periodic and Almost Periodic Perturbations of Constant Coefficients Operators and Bethe-Sommerfeld Conjecture in Semiclassical Settings"

12:00pm to 1:00pm

## Location:

Ross 70

TITLE:

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

ABSTRACT:

Under certain assumptions, we derive a complete semiclassical asymptotics of aspectral function of the constant coecient scalar operator perturbed by almostperiodic smaller operator. In particular, a com-

plete semiclassical asymptotics of the integrated density of states also holds.

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

ABSTRACT:

Under certain assumptions, we derive a complete semiclassical asymptotics of aspectral function of the constant coecient scalar operator perturbed by almostperiodic smaller operator. In particular, a com-

plete semiclassical asymptotics of the integrated density of states also holds.