Factorization of a class of 2 x 2 matrix symbols by reduction to a scalar factorization

被引：0

作者：

Bastos, M. A. ^{[1
]}

Lopes, P. A. ^{[1
]}

dos Santos, A. F. ^{[1
]}

机构：

[1] Univ Lisbon, Inst Super Tecn, Dept Math, P-1049001 Lisbon, Portugal

来源：

IMA JOURNAL OF APPLIED MATHEMATICS | 2018年 / 83卷 / 01期

关键词：

Riemann-Hilbert problems; factorization; integrable systems;

D O I：

10.1093/imamat/hxx036

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Using the reduction of a vector Riemann-Hilbert problem on the unit circle to a scalar problem on a contour in a Riemann surface, a factorization method for a class of symbols is described. The class of symbols involves outer functions and rational functions of the square root of a quotient of first degree polynomials. An application to a problem in the field of integrable systems of infinite dimension is presented.

引用

页码：92 / 105

页数：14

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