Please use this identifier to cite or link to this item: http://hdl.handle.net/1822/32347

TitleRiemann–Hilbert problems, Toeplitz operators and Q-classes
Author(s)Câmara, M. C.
Malheiro, Teresa
KeywordsRiemann–Hilbert problems
Toeplitz operators
Factorization
matrix equations
Issue date1-Oct-2014
PublisherSpringer
JournalIntegral Equations and Operator Theory
Abstract(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.
TypeArticle
URIhttp://hdl.handle.net/1822/32347
DOI10.1007/s00020-014-2140-2
ISSN1420-8989
Publisher versionhttp://link.springer.com/article/10.1007%2Fs00020-014-2140-2
Peer-Reviewedyes
AccessOpen access
Appears in Collections:CMAT - Artigos em revistas com arbitragem / Papers in peer review journals

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