"On The Problem Of Linear Conjugation On The Unit Circle"





(Bilkent University)




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 function r(l)
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.




Date:  Thursday, February 22, 2007

Time: 14.40

Place: Mathematics Seminar Room, SAZ-141