Titlebook: Completeness Theorems and Characteristic Matrix Functions; Applications to Inte Marinus A. Kaashoek,Sjoerd M. Verduyn Lunel Book 2022 The E

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Completeness Theorems for Period Maps, section. Two completeness theorems for the period map of certain concrete scalar periodic delay equations are presented in the fourth and the fifth section, first for one-periodic equations and next for two-periodic equations.

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Applications to Dynamical Systems,processes. In each of the three sections the unbounded operators concerned are operators . of the kind appearing in (.) of the previous chapter. The results concerning completeness obtained in this chapter can be viewed as generalisations of Theorem ..

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Anliegen und Entwicklung der Phänomenologiections of the form . where . and . ≠ 0 are polynomials, 0 < . < ., and . is a non-zero square integrable function on the interval [−., .], we show how to use the classical results from complex analysis to derive very detailed properties of these functions.

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Book 2022pear in a natural way in the study of infinite dimensional dynamical systems such as mixed type functional differential equations, age-dependent population dynamics, and in the analysis of the Markov semigroup connected to the recently introduced zig-zag process..

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Book 2022ors that admit a characteristic matrix function in a Banach space setting. Classical conditions for completeness based on the theory of entire functions are further developed for this specific class of operators. The classes of bounded operators that are investigated include trace class and Hilbert-

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Anticoagulants

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Anliegen und Entwicklung der Phänomenologieauxiliary results that will be used to verify the assumptions of the completeness theorems in concrete cases. Elements of the theory of entire functions as presented in Chap. . play an important role in the analysis in this chapter.