Speaker
Vladimir Lysov
(Keldysh Institute of Applied Mathematics of RAS, Moscow)
Description
In the series of works of the 1980s, A.A. Gonchar and E.A. Rakhmanov developed a method for studying the asymptotic behavior of polynomials orthogonal with respect to varying (i.e., depending on the degree of the polynomial) weight.
Orthogonality was considered both on real intervals and on curves with special symmetry ($S$-property).
We extend these results in two directions.
First, we consider multiple orthogonality, and second, discrete orthogonality measures.
During the talk we formulate some general results and provide specific examples of their use.
Primary author
Vladimir Lysov
(Keldysh Institute of Applied Mathematics of RAS, Moscow)
