Wiener-Hopf factorization indices of rational matrix functions with respect to the unit circle in terms of realization
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Publication:2684672
DOI10.1016/j.indag.2022.12.005OpenAlexW4221167855MaRDI QIDQ2684672
André C. M. Ran, Marinus A. Kaashoek, Gilbert J. Groenewald
Publication date: 16 February 2023
Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2203.07821
Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Boundary value problems in the complex plane (30E25) Polynomials and rational functions of one complex variable (30C10)
Cites Work
- Unnamed Item
- Canonical factorization of rational matrix functions. A note on a paper by P. Dewilde
- Factorization of matrix and operator functions. The state space method
- The non-symmetric discrete algebraic Riccati equation and canonical factorization of rational matrix functions on the unit circle
- An operator perspective on signals and systems
- Constructive methods of Wiener-Hopf factorization
- Local inverse spectral problems for rational matrix functions
- Factorization of matrix functions and singular integral operators
- Interpolation of rational matrix functions
- Classes of linear operators. Vol. I
- Classes of linear operators. Vol. II
- Global inverse spectral problems for rational matrix functions
- A note on inner-outer factorization of wide matrix-valued functions
- Wiener-Hopf indices of unitary functions on the unit circle in terms of realizations and related results on Toeplitz operators
- A state space approach to canonical factorization with applications
- The multiplicative structure of 𝐽-contractive matrix functions
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