Seminars: S. Yu. Dobrokhotov, Difference equations, pseudodifferential operators and semiclassical asymptotics

SEMINARS


Seminar on Complex Analysis (Gonchar Seminar) March 16, 2015 18:00, Moscow, Steklov Mathematical Institute, Room 411 (8 Gubkina)

Difference equations, pseudodifferential operators and semiclassical asymptotics S. Yu. Dobrokhotov Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences, Moscow
Abstract: We discuss one approach which possibly allows one to construct the asymptotics of polynomials determined by some recurrent formulas given by 3 (or $2m+1$) diagonal matrices. The method is based on the objects appearing in semiclassical analysis and on the Maslov canonical operator in particular. These objects are quite elementary in 1-D case and any special knowledge is not needed.