On explicit factorization and applications

DOI10.1007/BF01222017zbMath0824.47011OpenAlexW2006502019MaRDI QIDQ1892637

Yanyan Li

Publication date: 9 November 1995

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01222017

zbMATH Keywords

finite Toeplitz matricesfactorization of triangular 2 by 2 matrix functionsmatrices of Daniel- Khrapkov type

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Factorization theory (including Wiener-Hopf and spectral factorizations) of linear operators (47A68)

Related Items

On factorization of triangular matrices of the second order, On some properties of factorization indices, Integral equations with Hilbert kernel, Riemann-Hilbert problems, Toeplitz operators and \({\mathfrak{Q}}\)-classes, Convolution equations on finite intervals and factorization of matrix functions, Partial indices of a class of second order matrix-functions, On explicit Wiener–Hopf factorization of 2 × 2 matrices in a vicinity of a given matrix, Systems of integral equations of the half-axis with quasi-difference kernels, Transformation techniques towards the factorization of non-rational 2\({\times}\)2 matrix functions, The corona theorem and the canonical factorization of triangular AP matrix functions -- Effective criteria and explicit formulas

Cites Work

• Algebraic methods for Toeplitz-like matrices and operators
• Banach algebras with symbol and singular integral operators. Transl. from the Russian by A. Iacob
• Factorization of matrix functions and singular integral operators
• A method of explicit factorization of matrix functions and applications
• A factorisation procedure for two by two matrix functions on the circle with two rationally independent entries
• On composite linear singular integral operators
• SOME GENERAL QUESTIONS IN THE THEORY OF THE RIEMANN BOUNDARY PROBLEM