Titlebook: Advances in Complex Analysis and Operator Theory; Festschrift in Honor Fabrizio Colombo,Irene Sabadini,Mihaela B. Vajiac Book 2017 Springer

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https://doi.org/10.1007/978-1-349-13273-7n their real or imaginary parts on the boundary. Situations where the criterion acts on subsets of the boundary or of horizontal lines inside the half-plane are considered. Existence and uniqueness results are established, together with novel solution formulas and techniques. As a by-product, we der

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https://doi.org/10.1007/978-981-15-2501-8etric involution, and let . be a symmetric operator in .. If . possesses a universal directing functional . which is real w.r.t. the given involution, and the closure of S in the completion of . has defect index (1, 1), then there exists a de Branges (Hilbert-) space . such that . maps . isometrical

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Contributions to Management ScienceReproducing kernel Hilbert spaces . of vector-valued entire functions and reproducing kernel . based on an entire matrix-valued function . blocks . were introduced and extensively studied by Louis de Branges. In this paper a new subclass of the matrices . is introduced and its relation to other subclasses that were presented earlier is discussed.

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https://doi.org/10.1057/9780230228795We consider a two-sided interpolation problem of Lagrange–Hermite type for polynomials over quaternions. Necessary and sufficient condition for the problem to have a solution is given and a particular low-degree solution is constructed in terms of a certain Sylvester equation.

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