Events for 04/06/2023 from all calendars

Mathematical Physics and Harmonic Analysis Seminar

Time: 4:00PM - 5:00PM

Location: BLOC 302

Speaker: Andrew Comech

Title: Limiting absorption principle and virtual levels of operator in Banach spaces

Abstract: We review the concept of the limiting absorption principle (LAP) and its connection to virtual levels of operators in Banach spaces. Then we discuss a simple construction which allows us to derive optimal LAP estimates on the resolvent near a point of the spectrum which is not a virtual level. In particular, the construction applies to the Laplacian in dimension 2 (where the estimates were not known).