Ebook: Current Trends in Operator Theory and its Applications

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.

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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.

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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.

Content:
Front Matter....Pages i-xxii
Inverse Scattering Transform, KdV, and Solitons....Pages 1-22
The Schur Algorithm for Generalized Schur Functions IV: Unitary Realizations....Pages 23-45
Linear Systems with Schr?dinger Operators and Their Transfer Functions....Pages 47-77
Strongly Regular J-Inner Matrix Functions and Related Problems....Pages 79-106
Boundary Interpolation for Contractive-valued Functions on Circular Domains in Cn....Pages 107-132
On Realizations of Rational Matrix Functions of Several Variables III....Pages 133-138
Operator-valued Extension of the Theorem of Helson and Szeg?....Pages 139-152
On Super-wavelets....Pages 153-165
Fast Algorithms for Toeplitz Least Squares Problems....Pages 167-197
Admissibility of Control and Observation Operators for Semigroups: A Survey....Pages 199-221
Closed Subspaces which are Attractors for Representations of the Cuntz Algebras....Pages 223-253
On the Bessmertny? Class of Homogeneous Positive Holomorphic Functions of Several Variables....Pages 255-289
Rational Solutions of the Schlesinger System and Isoprincipal Deformations of Rational Matrix Functions I....Pages 291-348
A Generalization of the tan 2? Theorem....Pages 349-372
Partly Free Algebras From Directed Graphs....Pages 373-385
Uniform Approximation by Solutions of Elliptic Equations and Seminormality in Higher Dimensions....Pages 387-406
Direct and Inverse Scattering for Skewselfadjoint Hamiltonian Systems....Pages 407-439
Factorization of Block Triangular Matrix Functions in Wiener Algebras on Ordered Abelian Groups....Pages 441-465
Semidefinite Invariant Subspaces: Degenerate Inner Products....Pages 467-486
On The Dual Spectral Set Conjecture....Pages 487-491
Stochastic Controllability of Linear Interest Rate Models....Pages 493-515
On the Generalized Joint Eigenvector Expansion for Commuting Normal Operators....Pages 517-523
Dynamics and Stabilization of an Elastic Tape Moving Axially Between Two Sets of Rollers....Pages 525-538
Weyl-Titchmarsh Matrix Functions and Spectrum of Non-selfadjoint Dirac Type Equation....Pages 539-551
Operator Theory and the Corona Problem on the Bidisk....Pages 553-568
Factorization of Polynomials With Estimates of Norms....Pages 569-585
The “Action” Variable is not an Invariant for the Uniqueness in the Inverse Scattering Problem....Pages 587-595

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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.

Content:
Front Matter....Pages i-xxii
Inverse Scattering Transform, KdV, and Solitons....Pages 1-22
The Schur Algorithm for Generalized Schur Functions IV: Unitary Realizations....Pages 23-45
Linear Systems with Schr?dinger Operators and Their Transfer Functions....Pages 47-77
Strongly Regular J-Inner Matrix Functions and Related Problems....Pages 79-106
Boundary Interpolation for Contractive-valued Functions on Circular Domains in Cn....Pages 107-132
On Realizations of Rational Matrix Functions of Several Variables III....Pages 133-138
Operator-valued Extension of the Theorem of Helson and Szeg?....Pages 139-152
On Super-wavelets....Pages 153-165
Fast Algorithms for Toeplitz Least Squares Problems....Pages 167-197
Admissibility of Control and Observation Operators for Semigroups: A Survey....Pages 199-221
Closed Subspaces which are Attractors for Representations of the Cuntz Algebras....Pages 223-253
On the Bessmertny? Class of Homogeneous Positive Holomorphic Functions of Several Variables....Pages 255-289
Rational Solutions of the Schlesinger System and Isoprincipal Deformations of Rational Matrix Functions I....Pages 291-348
A Generalization of the tan 2? Theorem....Pages 349-372
Partly Free Algebras From Directed Graphs....Pages 373-385
Uniform Approximation by Solutions of Elliptic Equations and Seminormality in Higher Dimensions....Pages 387-406
Direct and Inverse Scattering for Skewselfadjoint Hamiltonian Systems....Pages 407-439
Factorization of Block Triangular Matrix Functions in Wiener Algebras on Ordered Abelian Groups....Pages 441-465
Semidefinite Invariant Subspaces: Degenerate Inner Products....Pages 467-486
On The Dual Spectral Set Conjecture....Pages 487-491
Stochastic Controllability of Linear Interest Rate Models....Pages 493-515
On the Generalized Joint Eigenvector Expansion for Commuting Normal Operators....Pages 517-523
Dynamics and Stabilization of an Elastic Tape Moving Axially Between Two Sets of Rollers....Pages 525-538
Weyl-Titchmarsh Matrix Functions and Spectrum of Non-selfadjoint Dirac Type Equation....Pages 539-551
Operator Theory and the Corona Problem on the Bidisk....Pages 553-568
Factorization of Polynomials With Estimates of Norms....Pages 569-585
The “Action” Variable is not an Invariant for the Uniqueness in the Inverse Scattering Problem....Pages 587-595
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