

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

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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.

