Explicit almost-periodic factorization for a class of triangular matrix functions

被引：0

作者：

M. C. Câmara

M. C. Martins

机构：

[1] Instituto Superior Técnico,Departamento de Matemática

[2] Universidade dos Açores,Departamento de Matemática

来源：

Journal d'Analyse Mathématique | 2007年 / 103卷

关键词：

Explicit Formula; Hardy Space; Matrix Function; Toeplitz Operator; Fourier Spectrum;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

The canonical generalized factorization of a class of 2×2 triangular matrix symbols associated to convolution operators on a finite interval is studied. A case is considered in which the non-diagonal entry is an almost-periodic trinomial whose spectrum consists of the point zero and two other points of different signs whose distance is less than 1. Explicit formulas for the factors of such a factorization are obtained.

引用

页码：221 / 260

页数：39

共 9 条

[1]

Bastos M. A.(1998)The corona theorem and the canonical factorization of triangular AP-matrix functions-effective criteria and explicit formulas J. Math. Anal. Appl. 223 523-550

[2]

Karlovich Y. I.(2006)A new approach to factorization of a class of almost-periodic triangular symbols and related Riemann-Hilbert problems J. Funct. Anal. 235 559-592

[3]

dos Santos A. F.(2006)Polynomial almost-periodic solutions for a class of Riemann-Hilbert problems with triangular symbols J. Funct. Anal. 240 226-268

[4]

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