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Titlebook: Systems, Approximation, Singular Integral Operators, and Related Topics; International Worksh Alexander A. Borichev,Nikolai K. Nikolski Con

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Integral representations and uniqueness sets for star-invariant subspaces,f recent developments in the study of the boundary behavior of the Cauchy integrals and their role in rank-one perturbation problems. After that we obtain new results on integral representations, uniqueness sets and separating measures for the model spaces ...
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The Schur algorithm for generalized Schur functions I: coisometric realizations,The Schur algorithm as developed by C. Chamfy [C] and J. Dufresnoy [D] (see also [BDGPS]) is related to a sequence of characteristic functions of closely outerconnected coisometric colligations in Pontryagin spaces.
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A Weighted Version of Almost Commutant Lifting,This paper presents a new almost commutant lifting theorem involving expansive operators which generalizes earlier results from [31] and [5]. The main theorems include a generalization for operator pencils of the Adamjan-Arov-Krein formula for the singular values. Some applications of almost commutant lifting are included.
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Some geometric invariants from resolutions of Hilbert modules, then first there is the question of existence of a resolution. Secondly, given a resolution, there is the question of identifying invariants for the module from the resolution. In the following, we will not address the first question but attempt to describe some possible invariants from a resolutio
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Relaxations of Quadratic Programs in Operator Theory and System Analysis,n scheme is usually a challenging mathematical problem. In this paper relaxation techniques of dynamical system analysis will be described. It will be shown how operator theoretic methods can be used to give error bounds for these techniques or to provide counterexamples. On the other hand, it will
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Well-Posed Linear Systems, Lax-Phillips Scattering, and ,,-Multipliers, operator of the dual system. We give formulas for the Lax-Phillips generator and resolvent in terms of the system operator. By applying the Hille—Yoshida theorem to the Lax—Phillips semigroup we get necessary and sufficient conditions for the ..-admissibility or joint ..-admissibility of a control
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