Current Trends in Operator Theory and its Applications

Abstract

IWOTA 2002 and Recent Achievements and New Directions in Operator Theory and Applications.- Inverse Scattering Transform, KdV, and Solitons 1.- The Schur Algorithm for Generalized Schur Functions IV: Unitary Realizations.- Linear Systems with Schrodinger Operators and Their Transfer Functions.- Strongly Regular J-Inner Matrix Functions and Related Problems.- Boundary Interpolation for Contractive-valued Functions on Circular Domains in Cn.- On Realizations of Rational Matrix Functions of Several Variables III.- Operator-valued Extension of the Theorem of Nelson and Szego.- On Super-wavelets.- Fast Algorithms for Toeplitz Least Squares Problems.- Admissibility of Control and Observation Operators for Semigroups: A Survey.- Closed Subspaces which are Attractors for Representations of the Cuntz Algebras.- On the Bessmertnyi Class of Homogeneous Positive Holomorphic Functions of Several Variables.- Rational Solutions of the Schlesinger System and Isoprincipal Deformations of Rational Matrix Functions I.- A Generalization of the tan 20 Theorem.- Partly Free Algebras From Directed Graphs.- Uniform Approximation by Solutions of Elliptic Equations and Seminormality in Higher Dimensions.- Direct and Inverse Scattering for Skewselfadjoint Hamiltonian Systems.- Factorization of Block Triangular Matrix Functions in Wiener Algebras on Ordered Abelian Groups.- Semidefinite Invariant Subspaces: Degenerate Inner Products.- On The Dual Spectral Set Conjecture.- II Stochastic Controllability of Linear Interest Rate Models.- On the Generalized Joint Eigenvector Expansion for Commuting Normal Operators.- Dynamics and Stabilization of an Elastic Tape Moving Axially Between Two Sets of Rollers.- Weyl-Titchmarsh Matrix Functions and Spectrum of Non-selfadjoint Dirac Type Equation.- Operator Theory and the Corona Problem on the Bidisk.- Factorization of Polynomials With Estimates of Norms.- The Action Variable is not an Invariant for the Uniqueness in the Inverse Scattering Problem.