Abstract
Explicit formulas for a symmetric Wiener-Hopf factorization of a selfadjoint rational matrix function are constructed. The formulas are given in terms of realizations that are selfadjoint with respect to a certain indefinite inner product. The construction of the formulas is based on the method of Wiener-Hopf factorization developed in [2].
Research of second author supported by the Niels Stensen Stichting at Amsterdam.
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© 1986 Birkhäuser Verlag Basel
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Kaashoek, M.A., Ran, A.C.M. (1986). Symmetric Wiener-Hopf Factorization of Selfadjoint Rational Matrix Functions and Realization. In: Gohberg, I., Kaashoek, M.A. (eds) Constructive Methods of Wiener-Hopf Factorization. OT 21: Operator Theory: Advances and Applications, vol 21. Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-7418-2_11
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DOI: https://doi.org/10.1007/978-3-0348-7418-2_11
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