Please use this identifier to cite or link to this item: http://hdl.handle.net/1822/13478

TitleFactorization in a torus and Riemann-Hilbert problems
Author(s)Câmara, M. C.
Malheiro, Teresa
KeywordsRiemann-Hilbert problem
Factorization
Riemann surfaces
Toeplitz operator
Riemann-Hilbert problems
Toeplitz operators
Issue date2012
PublisherElsevier
JournalJournal of Mathematical Analysis and Applications
Abstract(s)A new concept of meromorphic $\Sigma$-factorization, for H\"{o}lder continuous functions defined on a contour $\Gamma$ that is the pullback of $\dot{\mathbb{R}}$ (or the unit circle) in a Riemann surface $\Sigma$ of genus 1, is introduced and studied, and its relations with holomorphic $\Sigma$-factorization are discussed. It is applied to study and solve some scalar Riemann-Hilbert problems in $\Sigma$ and vectorial Riemann-Hilbert problems in $\mathbb{C}$, including Wiener-Hopf matrix factorization, as well as to study some properties of a class of Toeplitz operators with $2 \times 2$ matrix symbols.
TypeArticle
DescriptionArticle in press, corrected proof
URIhttp://hdl.handle.net/1822/13478
DOI10.1016/j.jmaa.2011.08.002
ISSN0022-247X
Publisher versionhttp://www.sciencedirect.com/
Peer-Reviewedyes
AccessOpen access
Appears in Collections:CMAT - Artigos em revistas com arbitragem / Papers in peer review journals

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