Ebook: Systems, Approximation, Singular Integral Operators, and Related Topics: International Workshop on Operator Theory and Applications, IWOTA 2000

This book is devoted to some topical problems and applications of operator theory and its interplay with modern complex analysis. It consists of 20 selected survey papers that represent updated (mainly plenary) addresses to the IWOTA 2000 conference held at Bordeaux from June 13 to 16, 2000. The main subjects of the volume include: - spectral analysis of periodic differential operators and delay equations, stabilizing controllers, Fourier multipliers; - multivariable operator theory, model theory, commutant lifting theorems, coisometric realizations; - Hankel operators and forms; - operator algebras; - the Bellman function approach in singular integrals and harmonic analysis, singular integral operators and integral representations; - approximation in holomorphic spaces. These subjects are unified by the common "operator theoretic approach" and the systematic use of modern function theory techniques.

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Content:
Front Matter....Pages i-xviii
The Schur algorithm for generalized Schur functions I: coisometric realizations....Pages 1-36
Hardy spaces on a finite bordered Riemann surface, multivariable operator model theory and Fourier analysis along a unimodular curve....Pages 37-56
On Hankel Operators Associated with Markov Functions....Pages 57-69
Threshold Effects near the Lower Edge of the Spectrum for Periodic Differential Operators of Mathematical Physics....Pages 71-107
Cauchy’s Singular Integral Operator and Its Beautiful Spectrum....Pages 109-142
Approximation problems in some holomorphic spaces, with applications....Pages 143-168
The Bargmann isometry and Gabor-Daubechies wavelet localization operators....Pages 169-178
Stabilization of irrational transfer functions by controllers with internal loop....Pages 179-207
Free Semigroup Algebras A Survey....Pages 209-240
Some geometric invariants from resolutions of Hilbert modules....Pages 241-270
Some remarks on spherical isometries....Pages 271-291
Higher-order Hankel forms and cohomology groups....Pages 293-309
A Weighted Version of Almost Commutant Lifting....Pages 311-340
Hyperbolicity of semigroups and Fourier multipliers....Pages 341-363
Relaxations of Quadratic Programs in Operator Theory and System Analysis....Pages 365-392
Bellman function in stochastic control and harmonic analysis....Pages 393-423
Integral representations and uniqueness sets for star-invariant subspaces....Pages 425-443
Well-Posed Linear Systems, Lax-Phillips Scattering, and L p -Multipliers....Pages 445-464
Spectral theory for delay equations....Pages 465-507
On a singular perturbation of a multiplication operator....Pages 509-527

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Content:
Front Matter....Pages i-xviii
The Schur algorithm for generalized Schur functions I: coisometric realizations....Pages 1-36
Hardy spaces on a finite bordered Riemann surface, multivariable operator model theory and Fourier analysis along a unimodular curve....Pages 37-56
On Hankel Operators Associated with Markov Functions....Pages 57-69
Threshold Effects near the Lower Edge of the Spectrum for Periodic Differential Operators of Mathematical Physics....Pages 71-107
Cauchy’s Singular Integral Operator and Its Beautiful Spectrum....Pages 109-142
Approximation problems in some holomorphic spaces, with applications....Pages 143-168
The Bargmann isometry and Gabor-Daubechies wavelet localization operators....Pages 169-178
Stabilization of irrational transfer functions by controllers with internal loop....Pages 179-207
Free Semigroup Algebras A Survey....Pages 209-240
Some geometric invariants from resolutions of Hilbert modules....Pages 241-270
Some remarks on spherical isometries....Pages 271-291
Higher-order Hankel forms and cohomology groups....Pages 293-309
A Weighted Version of Almost Commutant Lifting....Pages 311-340
Hyperbolicity of semigroups and Fourier multipliers....Pages 341-363
Relaxations of Quadratic Programs in Operator Theory and System Analysis....Pages 365-392
Bellman function in stochastic control and harmonic analysis....Pages 393-423
Integral representations and uniqueness sets for star-invariant subspaces....Pages 425-443
Well-Posed Linear Systems, Lax-Phillips Scattering, and L p -Multipliers....Pages 445-464
Spectral theory for delay equations....Pages 465-507
On a singular perturbation of a multiplication operator....Pages 509-527
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