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

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0255-0156 Overview: Volume in memory of Moshe Livsic, first class mathematician who, in particular, introduced the notion of characteristic operator function and of transfer function.Includes supplementary material: 978-3-0346-0183-2Series ISSN 0255-0156 Series E-ISSN 2296-4878

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Characteristic Functions, Scattering Functions and Transfer FunctionsThe Moshe Livsic Mem

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Keyboard Input and Simple Movement,the algebraic aspects of the problem at hand. Given a non-negative integer n, we describe all system realizations of a given rational inner function of degree n in terms of an appropriately constructed equivalence relation in the set of all unitary (.+1)×(.+1)-matrices. The concept of Redheffer coup

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Keyboard Input and Simple Movement,e sets of critical values. Still a gap between the necessary and sufficient conditions remained..In the present paper we close (partially) this gap, introducing into consideration of critical values a certain geometric invariant (we call it β-spread) which was previously studied in quite different r

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The Schur Algorithm in Terms of System Realizations,the algebraic aspects of the problem at hand. Given a non-negative integer n, we describe all system realizations of a given rational inner function of degree n in terms of an appropriately constructed equivalence relation in the set of all unitary (.+1)×(.+1)-matrices. The concept of Redheffer coup

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,Inverse Stieltjes-like Functions and Inverse Problems for Systems with Schrödinger Operator,d on a Schrödinger operator .. in ..au][.,+∞) with a non-selfadjoint boundary condition. In particular it is shown that any inverse Stieltjes function of this class can be realized in the unique way so that the main operator . possesses a special semi-boundedness property. We derive formulas that re