13/02/2014, 16:30 — 17:30 — Sala P3.10, Pavilhão de Matemática
Cristina Câmara, Instituto Superior Técnico
Riemann-Hilbert problems, Toeplitz operators and \(Q\)-classes
We generalize the notion of -classes , which was
introduced in the context of Wiener-Hopf factorization, by
considering very general matrix functions , .
This allows us to use a mainly algebraic approach to obtain several
equivalent representations for each class, to study the
intersections of -classes and to explore their close connection
with certain non-linear scalar equations. The results are applied
to various factorization problems and to the study of Toeplitz
operators with symbol in a -class.