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Titlebook: A State Space Approach to Canonical Factorization with Applications; Harm Bart,Marinus A. Kaashoek,André C. M. Ran Book 2010 Birkhäuser Ba

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https://doi.org/10.1007/978-94-017-6312-7es of .k(t) are Lebesgue integrable on the real line. In other words, . is of the form . It follows that the function . is analytic in the strip ., where τ=−ω. This strip contains the real line. The aim is to extend the canonical factorization theorem of Chapter 5 to functions of the type (5.1).
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https://doi.org/10.1007/978-94-017-6312-7r. Such an operator function is given by a realization with a possibly infinite dimensional Banach space as state space, and with a bounded state operator and with bounded input-output operators. The first main result is a generalization to operator-valued functions of the canonical factorization th
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Structure and Atmosphere of the Ritualones. Whereas in the previous chapter we studied spectral factorization, in the present chapter the focus will be on functions that have poles or zeros on the contour, and so we will consider pseudo-spectral factorization here.
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Structure and Atmosphere of the Rituale used in this book. No proofs will be provided; we refer to the literature for more information. Good sources are [68] and [70]. The material is not only useful for understanding of the results of the preceding two chapters, but is also intended for use in subsequent chapters.
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