Abstract
Wiener-Hopf integral equations with rational matrix symbols that have zeros on the real line are studied. The concept of canonical pseudo-spectral factorization is introduced, and all possible factorizations of this type are described in terms of realizations of the symbol and certain supporting projections. With each canonical pseudo-spectral factorization is related a pseudo-resolvent kernel, which satisfies the resolvent identities and is used to introduce spaces of unique solvability.
Research supported by the Netherlands Organization for the Advancement of Pure Research (Z.W.O.).
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© 1986 Birkhäuser Verlag Basel
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Roozemond, L. (1986). Canonical Pseudo-Spectral Factorization and Wiener-Hopf Integral Equations. 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_5
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DOI: https://doi.org/10.1007/978-3-0348-7418-2_5
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