An Operator Perspective on Signals and Systems

Part I. Basic Operator Theory

1. The Wold Decomposition
Arthur E. Frazho, Wisuwat Bhosri

2. Toeplitz and Laurent Operators
Arthur E. Frazho, Wisuwat Bhosri

3. Inner and Outer Functions
Arthur E. Frazho, Wisuwat Bhosri

4. Rational Inner and Outer Functions
Arthur E. Frazho, Wisuwat Bhosri

5. The Naimark Representation
Arthur E. Frazho, Wisuwat Bhosri

6. The Rational Case
Arthur E. Frazho, Wisuwat Bhosri

Part II. Finite Section Techniques

7. The Levinson Algorithm and Factorization
Arthur E. Frazho, Wisuwat Bhosri

8. Isometric Representations and Factorization
Arthur E. Frazho, Wisuwat Bhosri

9. Signal Processing
Arthur E. Frazho, Wisuwat Bhosri

Part III. Riccati Methods

10. Riccati Equations and Factorization
Arthur E. Frazho, Wisuwat Bhosri

11. Kalman and Wiener Filtering
Arthur E. Frazho, Wisuwat Bhosri

Part IV. Interpolation Theory

12. Tangential Nevanlinna-Pick Interpolation
Arthur E. Frazho, Wisuwat Bhosri

13. Contractive Nevanlinna-Pick Interpolation
Arthur E. Frazho, Wisuwat Bhosri

Part V. Appendices

14. A Review of State Space
Arthur E. Frazho, Wisuwat Bhosri

15. The Levinson Algorithm
Arthur E. Frazho, Wisuwat Bhosri

Keywords: Mathematics, Operator Theory, Systems Theory, Control, Computational Science and Engineering