

Seminar on Complex Analysis (Gonchar Seminar)
April 13, 2015 18:00, Moscow, Steklov Mathematical Institute, Room 411 (8 Gubkina)






Szegő theorem and tau functions
A. V. Domrin^{} ^{} Lomonosov Moscow State University

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Abstract:
We show that the constant term (the first nontrivial term) in the Szegő–Widom asymptotic formula for the determinants of certain special truncated blockToeplitz matrices (loops) is the tau function for the solution (corresponding to this loop) of a soliton equation of parabolic type. We discuss consequences of this fact concerning the analytic properties of local holomorphic solutions of such equations.

