Factorization in a torus and Riemann-Hilbert problems

被引：1

作者：

Camara, M. C. ^{[1
]}

Malheiro, M. T. ^{[2
]}

机构：

[1] Univ Tecn Lisboa, Dep Matemat, Inst Super Tecn, P-1049001 Lisbon, Portugal

[2] Univ Minho, Ctr Matemat, Dept Matemat & Aplicacoes, P-4800058 Guimaraes, Portugal

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2012年 / 386卷 / 01期

关键词：

Riemann-Hilbert problems; Factorization; Riemann surfaces; Toeplitz operators; MATRIX FUNCTIONS; GENERALIZED FACTORIZATION;

D O I：

10.1016/j.jmaa.2011.08.002

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A new concept of meromorphic Sigma-factorization, for Holder continuous functions defined on a contour Gamma that is the pullback of R(over dot) (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 C, including Wiener-Hopf matrix factorization, as well as to study some properties of a class of Toeplitz operators with 2 x 2 matrix symbols. (C) 2011 Elsevier Inc. All rights reserved.

引用

页码：343 / 363

页数：21

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