Current Trends in Operator Theory and Its Applications

ISBN-13: 9783034896085 / Angielski / Miękka / 2012 / 598 str.

Joseph A. Ball; J. William Helton; Martin Klaus

Opis

Many developments on the cutting edge of research in operator theory and its applications are reflected in this collection of original and review articles. Particular emphasis lies on highlighting the interplay between operator theory and applications from other areas, such as multi-dimensional systems and function theory of several complex variables, distributed parameter systems and control theory, mathematical physics, wavelets, and numerical analysis.

Spis treści

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 Schrödinger 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 Szegö.- 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.

O autorze

Many developments on the cutting edge of research in operator theory and its applications, and related areas of mathematics, are reflected in this collection of original and review articles. Particular emphasis lies on the applications of operator theory to basic problems in distributed parameter systems, mathematical physics, wavelets, and numerical analysis.
Review articles include a report on recent achievements and future directions of research in the area of operator theory and its diverse applications.
The intended audience is researchers and graduate students in mathematics, physics, and electrical engineering.