Titlebook: Interpolation Theory, Systems Theory and Related Topics; The Harry Dym Annive Daniel Alpay,Victor Vinnikov,Israel Gohberg Conference procee

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Obsequious

On Joint Work with Harry Dym, Israeli institutions of higher education; very soon I received an offer from the Tel-Aviv University which I decided to accept. In March 1975 I was invited by the Dean of the Faculty of Mathematics, Professor S. Karlin, to take a part time position at the Weizmann Institute of Science. I accepted t

现代

Notes on Interpolation in the Generalized Schur Class. I. Applications of Realization Theory, the paper, conditions are given for the existence of a solution of a factorization problem that includes Nevanlinna-Pick interpolation and factor­ization problems of Leech type for operator-valued functions. In the second part, an analysis is made of the numbers of positive and negative eigenvalues

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Stable Dissipative Linear Stationary Dynamical Scattering Systems, via a finite ideal passive lossless 2-port closed by one resistance [.]. The reflection coefficient Θ of such a 1-port is an element of the scattering matrix . of a corresponding loss-less 2-port; the lossless behavior is indicated in the property that . has unitary values on the boundary of the ph

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WAIL

On Realizations of Rational Matrix Functions of Several Complex Variables,ve in a space with an indefinite metric, defined in a standard way by a hermitian matrix . such that .. = .) were actively studied by many mathematicians in the past years. A series of problems of mathematical analysis and its applications lead to the necessity of studying analogous classes of holom

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,The Poincaré-Hardy Inequality on the Complement of a Cantor Set,ved. We use a special self-similar tiling and a natural metric on the space of trajectories generated by a Mauldin-Williams graph which is homeomorphic with the space of tiles endowed with the Euclidean distance. A crude estimation of the constant . is 2,100. Three applications will be briefly discu

ASSAY

Finite Section Method for Linear Ordinary Differential Equations on the Full Line,u­tions of corresponding equations on finite intervals with boundary conditions or on half lines with initial conditions. Both the time-variant and the time-invariant case are considered, and in the latter case the sufficient conditions are also shown to be necessary. Included are applications to in

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A Generic Schur Function is an Inner One, exceptional if it is rational inner one. A . is a sequence .={γ.}0≤<∞ of complex numbers satisfying the condition |γ.| < 1 for every .. The Schur algorithm establishes a one-to-one correspondence between the set Ω of all contractive sequences .={γ.}0≤<∞ and the set of all non-exceptional Schur func

Cpap155

Abstract Interpolation Scheme for Harmonic Functions,tary scattering systems rather than in terms of unitary colligations. This allows us to give up the orthogonality assumption on the data scales and to formulate a more general setting of the AIP that corresponds to interpolation problems for harmonic functions also. (The original formulation of the