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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

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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.

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