Abstract
A minimal factorization theory is developed for integral operators of the second kind with a semi-separable kernel. Explicit formulas for the factors are given. The results are natural generalizations of the minimal factorization theorems for rational matrix functions. LU- and UL-factorization appear as special cases. In the proofs connections with cascade decompositions of systems with well-posed boundary conditions play an essential role.
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© 1986 Birkhäuser Verlag Basel
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Gohberg, I., Kaashoek, M.A. (1986). Minimal Factorization of Integral Operators and Cascade Decompositions of Systems. 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_6
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DOI: https://doi.org/10.1007/978-3-0348-7418-2_6
Publisher Name: Birkhäuser Basel
Print ISBN: 978-3-0348-7420-5
Online ISBN: 978-3-0348-7418-2
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