<p>Wiener-Hopf Factorization in the Inverse Scattering Theory for the n-D Schrödinger Equation.- Existence and Regularity of Solutions of Cauchy Problems for Inhomogeneous Wave Equations with Interaction.- Interpolation Problems, Extensions of Symmetric Operators and Reproducing Kernel Spaces I.- Some Extremal Problems Related to Majorization.- De Branges-Rovnyak Operator Models and Systems Theory: A Survey.- Band Matrices and Dichotomy.- Invertibility of Systems of Toeplitz Operators.- A Hermite Theorem for Matrix Polynomials.- On a Singularly Perturbed Eigenvalue Problem in the Theory of Elastic Rods.- Matrix Polynomials with prescribed zero structure in the finite complex plane.- On Structured Matrices, Generalized Bezoutians and Generalized Christoffel-Darboux Formulas.- Numerical Ranges for Partial Matrices.- On the Rational Homogeneous Manifold Structure of the Similarity Orbits of Jordan Elements in Operator Algebras.- Planar Faces of Operator Spaces in L P .- Spectral Theory of Selfadjoint Wiener-Hopf Operators with Rational Symbols.</p>

Topics in Matrix and Operator Theory: Workshop on Matrix and Operator Theory Rotterdam (The Netherlands), June 26–29, 1989 (Operator Theory: Advances and Applications)

Science & Math

Gohberg, I.

Bart, H

KAASHOEK

Mathematics

Birkhauser

<p>The main part of this paper concerns Toeplitz operators of which the symbol W is an m x m matrix function defined on a disconnected curve r. The curve r is assumed to be the union of s + 1 nonintersecting simple smooth closed contours rOo r *. . . * rs which form the positively l oriented boundary of a finitely connected bounded domain in t. Our main requirement on the symbol W is that on each contour rj the function W is the restriction of a rational matrix function Wj which does not have poles and zeros on rj and at infinity. Using the realization theorem from system theory (see. e. g . * [1]. Chapter 2) the rational matrix function Wj (which differs from contour to contour) may be written in the form 1 (0. 1) W . (A) = I + C. (A - A. f B. A E r· J J J J J where Aj is a square matrix of size nj x n* say. B and C are j j j matrices of sizes n. x m and m x n . * respectively. and the matrices A. J x J J and Aj = Aj - BjC have no eigenvalues on r . (In (0. 1) the functions j j Wj are normalized to I at infinity.</p>

Constructive Methods of Wiener-Hopf Factorization (Operator Theory: Advances and Applications)

GOHBERG

Format Paperback Subject Mathematics General Publisher Birkhauser

Minimal Factorization of Matrix and Operator Functions (Operator Theory: Advances and Applications)

BART

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