Convolution equations and linear systems

DOI10.1007/BF01694043zbMath0481.45005OpenAlexW2099843197MaRDI QIDQ1161880

Israel Gohberg, Harm Bart, Marinus A. Kaashoek

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1007/bf01694043

zbMATH Keywords

Toeplitz matrixconvolution equationsconvolution equationmatrix Riccati differential equationFredholm characteristicsoperator valued kernelsToeplitz equationsWiener- Hopf integral equation

Mathematics Subject Classification ID

Systems of singular linear integral equations (45F15) Existence theories for optimal control problems involving ordinary differential equations (49J15) (Semi-) Fredholm operators; index theories (47A53) Integral operators (45P05) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Control/observation systems governed by ordinary differential equations (93C15)

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Cites Work

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• Minimal factorization of matrix and operator functions
• Equivalence, linearization, and decomposition of holomorphic operator functions
• On the equivalence between matrix Riccati equations and Fredholm resolvents
• On the Matrix Riccati Equation
• Some Integral Equations with Nonsymmetric Separable Kernels