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

 Title: Factorization in a torus and Riemann-Hilbert problems Author(s): Câmara, M. C.Malheiro, Teresa Keywords: Riemann-Hilbert problemFactorizationRiemann surfacesToeplitz operatorRiemann-Hilbert problemsToeplitz operators Issue date: 2012 Publisher: Elsevier Journal: Journal 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. Type: Article Description: Article in press, corrected proof URI: http://hdl.handle.net/1822/13478 DOI: 10.1016/j.jmaa.2011.08.002 ISSN: 0022-247X Publisher version: http://www.sciencedirect.com/ Peer-Reviewed: yes Access: Open access Appears in Collections: CMAT - Artigos em revistas com arbitragem / Papers in peer review journals

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