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https://hdl.handle.net/1822/32347| Título: | Riemann–Hilbert problems, Toeplitz operators and Q-classes |
| Autor(es): | Câmara, M. C. Malheiro, Teresa |
| Palavras-chave: | Riemann–Hilbert problems Toeplitz operators Factorization matrix equations |
| Data: | 1-Out-2014 |
| Editora: | Springer |
| Revista: | Integral Equations and Operator Theory |
| Resumo(s): | We generalize the notion of Q-classes C(Q1,Q2) , which was introduced in the context of Wiener–Hopf factorization, by considering very general 2 × 2 matrix functions Q1, Q2. 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. We conclude with a group theoretic interpretation of some of the main results. |
| Tipo: | Artigo |
| URI: | https://hdl.handle.net/1822/32347 |
| DOI: | 10.1007/s00020-014-2140-2 |
| ISSN: | 1420-8989 |
| Versão da editora: | http://link.springer.com/article/10.1007%2Fs00020-014-2140-2 |
| Arbitragem científica: | yes |
| Acesso: | Acesso aberto |
| Aparece nas coleções: |
