Order problem for indeterminate Jacobi matrices and Valent conjectures

Roman V. Romanov
Physics Faculty of St. Petersburg State University, Russia
http://math.nw.ru/wp/?p=1227&lang=en

Date(s) : 20/03/2017   iCal
11 h 15 min - 12 h 15 min

We survey recent results on the problem of order for canonical systems with a particularemphasis on the indeterminate moment problems. In this way, we establish the validityof two conjectures of Valent about the order of Jacobi matrices with power coefficients,provide examples showing that a lower order estimate due to M. Livshits may differ fromthe actual order, and prove a formula for the order for diagonal canonical systems (Kreinstrings).

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