26/03/2004, 14:00 — 15:00 — Room P3.10, Mathematics Building
Torsten Ehrhardt, Technical University of Chemnitz, Germany
Factorization Theory for Singular Integral Operators with Flip
The invertibility of singular integral operators with flip on the
unit circle is equivalent to the invertibility of
Toeplitz-plus-Hankel operators with a matrix symbol of a particular
structure. We show how to develop a factorization theory for such
Toeplitz-plus-Hankel operators. The kind of factorization differs
from the usual generalized Wiener-Hopf factorization, but is
related to it. Some examples where the factorization can be
constructed explicitly will be also discussed.
