Titlebook: Operator Theory, Systems Theory and Scattering Theory: Multidimensional Generalizations; Daniel Alpay,Victor Vinnikov Book 2005 Birkh�user

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Daniel Alpay,Victor VinnikovFocussed selection of invited contributions of experts in the area.Establishing ‘multidimensional operator theory‘ as a working field

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Preservation of the Norms of Linear Operators Acting on Some Quaternionic Function Spaces,There are considered real and quaternionic versions of some classical linear spaces, such as Lebesgue spaces, the spaces of continuous functions, etc., as well as linear operators acting on them. We prove that, given a real linear bounded operator on one of those spaces its quaternionic extension keeps being bounded and its norm does not change.

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Notes on Generalized Lemniscates,A series of analytic and geometric features of generalized lemniscates are presented from an elementary and unifying point of view. A novel interplay between matrix theory and elementary geometry of planar algebraic curves is derived, with a variety of applicationvalue problem and Hardy space estimates to a root separation algorithm.

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,Favard’s Theorem Modulo an Ideal,Recently a treatise [2] dealing with the three term recurrence relation for polynomials orthogonal on algebraic sets was born. Because the paper is pretty sizeable in volume and rich in essence a kind of assistance in the matter as well as some invitation to it has become a need.

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M. Bessmertnyĭative comparison of the energy demand of these different apparatus (Sect. 7.10), and a quantitative comparison of how distilling style affects congener removal during distillation (Sect. 7.11). This in turn permits a more qualitative, speculative, inference of the impact of distillation style on fla

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M. Elena Luna-Elizarrarás,Michael Shapiroions on Russia was making Russia acknowledge its overreliance on the West. This pressure led Russia to recalibrate its development trajectory, emphasizing policies like import substitution and fostering domestic economic growth. The imposition of sanctions on Russia and the global response to these