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Titlebook: Characteristic Functions, Scattering Functions and Transfer Functions; The Moshe Livsic Mem Daniel Alpay,Victor Vinnikov Book 2010 Birkhäus

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Keyboard Input and Simple Movement,tion is based on the canonical model of Sz.-Nagy and the third author. One approach to describing the invariant subspaces for such a bi-isometry using this model is to consider isometric intertwining maps from another such model to the given one. Representing such maps requires a careful study of th
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Keyboard Input and Simple Movement,atrix . with entries of the form ., that is based on the data of the problem is positive semidefinite. The purpose of this purely expository note is to draw attention to another matrix that arises in the theory of interpolation problems for multipliers which deserves to be better known. This matrix
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Keyboard Input and Simple Movement, at the origin. A complete characterization of the sequences of Taylor coefficients of functions from . is given. Moreover, the generalization of the matricial Schur problem for the class . is treated. A complete description of the set of solutions is given in the nondegenerate and degenerate cases.
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Keyboard Input and Simple Movement,ritical values of differentiable mappings is given by the Morse-Sard theorem ([., ., .]): if the mapping is . .-smooth, with . sufficiently big, then the set of its critical values has the Lebesgue measure (or, more precisely, the Hausdorff measure of an appropriate dimension) zero..In a work of the
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