"On The Problem Of Linear Conjugation On The Unit Circle"
Abstract: The well-known
Riemann-Hilbert problem of factorization a(l)r(l)=b(l) by piecewise analytic functions a(l),b(l) of a given
defined on the circle is discussed. Here r(l) is a matrix valued function with elements in the Wiener ring of Fourier series that converge absolutely on the unit circle. In the
case when Re r(l) > 0 a stable algorithm is suggested for the construction of the factors a(l), b(l).
Tea and cookies will be served before the seminar.
Place: Mathematics Seminar Room, SAZ-141