16/06/2006, 15:00 — 16:00 — Sala P3.10, Pavilhão de Matemática
Cristina Diogo, Instituto Superior Técnico, U.T. Lisboa
Generalized factorization for a class of triangular symbols with a
gap around zero
It was shown in [1] that if a bounded analytic solution to the
Riemann-Hilbert problem is known which consists of
corona pairs, then admits a canonical generalized
factorization, i.e., the Toeplitz operator with symbol is
invertible. But what if the solution does not satisfy the corona
conditions? And, to begin at the beginning, how to get a particular
bounded analytic solution to the Riemann-Hilbert problem? We adress
these questions by studying a class of triangular matrix symbols
which illustrates the problems involved in those questions and for
which we can find answers.
- Bastos, M. A., Karlovich, Y. I. and dos Santos, A. F.,
Oscillatory Riemann-Hilbert problems and corona theorem,
Journal of Functional Analysis 197 (2003) 347-397.
Working Seminar