Ebook: Characteristic Functions, Scattering Functions and Transfer Functions: The Moshe Livsic Memorial Volume
- Tags: Operator Theory
- Series: Operator Theory: Advances and Applications 197
- Year: 2010
- Publisher: Birkhäuser Basel
- Edition: 1
- Language: English
- pdf
The notions of transfer function and characteristic functions proved to be fundamental in the last fifty years in operator theory and in system theory. Moshe Livsic played a central role in developing these notions, and the book contains a selection of carefully chosen refereed papers dedicated to his memory. Topics include classical operator theory, ergodic theory and stochastic processes, geometry of smooth mappings, mathematical physics, Schur analysis and system theory. The variety of topics attests well to the breadth of Moshe Livsic's mathematical vision and the deep impact of his work.
The book will appeal to researchers in mathematics, electrical engineering and physics.
The notions of transfer function and characteristic functions proved to be fundamental in the last fifty years in operator theory and in system theory. Moshe Livsic played a central role in developing these notions, and the book contains a selection of carefully chosen refereed papers dedicated to his memory. Topics include classical operator theory, ergodic theory and stochastic processes, geometry of smooth mappings, mathematical physics, Schur analysis and system theory. The variety of topics attests well to the breadth of Moshe Livsic's mathematical vision and the deep impact of his work.
The book will appeal to researchers in mathematics, electrical engineering and physics.
Content:
Front Matter....Pages i-viii
Differential-difference Equations in Entire Functions....Pages 1-19
Inverse Stieltjes-like Functions and Inverse Problems for Systems with Schr?dinger Operator....Pages 21-49
Bi-Isometries and Commutant Lifting....Pages 51-76
The One-sided Ergodic Hilbert Transform of Normal Contractions....Pages 77-98
Model Reduction in Symbolically Semi-separable Systems with Application to Pre-conditioners for 3D Sparse Systems of Equations....Pages 99-132
Pick Matrices for Schur Multipliers....Pages 133-138
The Stable Rank of a Nest Algebra and Strong Stabilization of Linear Time-varying Systems....Pages 139-148
Convexity of Ranges and Connectedness of Level Sets of Quadratic Forms....Pages 149-179
The Schur Algorithm in Terms of System Realizations....Pages 181-250
On Some Interrelations Between J-Potapov Functions and J-Potapov Sequences....Pages 251-279
A Solvable Model for Scattering on a Junction and a Modified Analytic Perturbation Procedure....Pages 281-336
Integral Equations in the Theory of Levy Processes....Pages 337-373
?-spread of Sets in Metric Spaces and Critical Values of Smooth Functions....Pages 375-389
The notions of transfer function and characteristic functions proved to be fundamental in the last fifty years in operator theory and in system theory. Moshe Livsic played a central role in developing these notions, and the book contains a selection of carefully chosen refereed papers dedicated to his memory. Topics include classical operator theory, ergodic theory and stochastic processes, geometry of smooth mappings, mathematical physics, Schur analysis and system theory. The variety of topics attests well to the breadth of Moshe Livsic's mathematical vision and the deep impact of his work.
The book will appeal to researchers in mathematics, electrical engineering and physics.
Content:
Front Matter....Pages i-viii
Differential-difference Equations in Entire Functions....Pages 1-19
Inverse Stieltjes-like Functions and Inverse Problems for Systems with Schr?dinger Operator....Pages 21-49
Bi-Isometries and Commutant Lifting....Pages 51-76
The One-sided Ergodic Hilbert Transform of Normal Contractions....Pages 77-98
Model Reduction in Symbolically Semi-separable Systems with Application to Pre-conditioners for 3D Sparse Systems of Equations....Pages 99-132
Pick Matrices for Schur Multipliers....Pages 133-138
The Stable Rank of a Nest Algebra and Strong Stabilization of Linear Time-varying Systems....Pages 139-148
Convexity of Ranges and Connectedness of Level Sets of Quadratic Forms....Pages 149-179
The Schur Algorithm in Terms of System Realizations....Pages 181-250
On Some Interrelations Between J-Potapov Functions and J-Potapov Sequences....Pages 251-279
A Solvable Model for Scattering on a Junction and a Modified Analytic Perturbation Procedure....Pages 281-336
Integral Equations in the Theory of Levy Processes....Pages 337-373
?-spread of Sets in Metric Spaces and Critical Values of Smooth Functions....Pages 375-389
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