Constructive matrix factorization methods for convolution type
operators with symmetry
Since Torsten Ehrhardt succeeded in creating a factorization theory
for Toeplitz plus Hankel operators in 2003, the doors are open for
the successful investigation of various classes of singular
operators and related applications. This talk is devoted to
constructive methods based upon explicit asymmetric factorization
of matrix functions on the real line, which is quite different from
the usual Wiener-Hopf factorization. A catalogue of possible
consequences and new applications will be exposed and discussed.
