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Departamento de Matemática Técnico Técnico

Seminário de Teoria de Operadores, Análise Complexa e Aplicações  RSS

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 Q-classes C Q 1,Q 2, which was introduced in the context of Wiener-Hopf factorization, by considering very general 2×2 matrix functions Q 1, Q 2. This allows us to use a mainly algebraic approach to obtain several equivalent representations for each class, to study the intersections of Q-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 Q-class.

Seminário organizado no contexto do projecto PTDC/MAT/121837/2010.

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