Seminars: R. V. Romanov, Order problem for canonical systems and a conjecture of Valent

SEMINARS


Seminar on Complex Analysis (Gonchar Seminar) November 17, 2014 18:00, Moscow, Steklov Mathematical Institute, Room 411 (8 Gubkina)

Order problem for canonical systems and a conjecture of Valent R. V. Romanov Saint Petersburg State University
Abstract: A precise upper estimate for the exponential order of the monodromy matrix of $ 2\times 2 $ canonical systems is obtained. The estimate is shown to become an equality in the case of the Krein strings. As an application we prove a conjecture by Valent on the order for a certain class of indeterminate moment problems with polynomial Jacobi parameters related to birth–death processes.