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Left Versus Right Canonical Wiener-Hopf Factorization

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Constructive Methods of Wiener-Hopf Factorization

Part of the book series: OT 21: Operator Theory: Advances and Applications ((OT,volume 21))

Abstract

In this paper the existence of a right canonical Wiener-Hopf factorization for a rational matrix function is characterized in terms of a left canonical Wiener-Hopf factorization. Formulas for the factors in a right factorization are given in terms of the formulas for the factors in a given left factorization. Both symmetric and nonsymmetric factorizations are discussed.

The first author was partially supported by a grant from the National Science Foundation.

The second author was supported by a grant from the Niels Stensen Stichting at Amsterdam.

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References

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I. Gohberg M. A. Kaashoek

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© 1986 Birkhäuser Verlag Basel

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Ball, J.A., Ran, A.C.M. (1986). Left Versus Right Canonical Wiener-Hopf Factorization. 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_2

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  • DOI: https://doi.org/10.1007/978-3-0348-7418-2_2

  • Publisher Name: Birkhäuser Basel

  • Print ISBN: 978-3-0348-7420-5

  • Online ISBN: 978-3-0348-7418-2

  • eBook Packages: Springer Book Archive

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