3 papers
math-ph2021
The almost periodic gauge transform -- An abstract scheme with applications to Dirac Operators
Jean Lagacé, Sergey Morozov, Leonid Parnovski +2
One of the main tools used to understand both qualitative and quantitative spectral behaviour of periodic and almost periodic Schrödinger operators is the method of gauge transform…
math.SP2018
A Szegő limit theorem for translation-invariant operators on polygons
Bernhard Pfirsch
We prove Szegő-type trace asymptotics for translation-invariant operators on polygons. More precisely, consider a Fourier multiplier on $\mathsf{L…
math.SP2016
Formulas of Szegő type for the periodic Schrödinger operator
Bernhard Pfirsch, Alexander V. Sobolev
We prove asymptotic formulas of Szegő type for the periodic Schrödinger operator in dimension one. Admitting fairly general functions with , we…