Event
Bernhard Pfirsch, University College London
Monday, October 23, 2017 14:00to15:00
room 5340, Pav. André-Aisenstadt, CA
Formulas of SzegÅ‘ type for the periodic Schrödinger operator.
In the 1980's H.J. Landau and H. Widom proved trace asymptotics for truncated Wiener-Hopf operators with piecewise continuous symbol, as the truncation parameter grows. We present an asymptotic trace formula for the periodic Schrödinger operator in dimension one, which may be seen as an extension of Landau and Widom's results. The subleading order of the asymptotics identifies the spectrum of the periodic Schrödinger operator. This is joint work with Alexander V. Sobolev.