An Operator Perspective on Signals and Systems - Frazho, Arthur E.; Bhosri, Wisuwat; SpringerLink (Online service) (Basel : Birkhäuser Basel, 2010)
Basic Operator Theory -- The Wold Decomposition -- Toeplitz and Laurent Operators -- Inner and Outer Functions -- Rational Inner and Outer Functions -- The Naimark Representation -- The Rational Case -- Finite Section Techniques -- The Levinson Algorithm and Factorization -- Isometric Representations and Factorization -- Signal Processing -- Riccati Methods -- Riccati Equations and Factorization -- Kalman and Wiener Filtering -- Interpolation Theory -- Tangential Nevanlinna-Pick Interpolation -- Contractive Nevanlinna-Pick Interpolation -- Appendices -- A Review of State Space -- The Levinson Algorithm.
Keywords: Mathematics; Operator theory; Systems theory; Computer science; Mathematics; Operator Theory; Systems Theory, Control; Computational Science and Engineering