Orthogonal Polynomials on the Unit Circle by Barry Simon (Caltech)
Sample Sections
Part 1: Classical Theory
Section 1.3
Caratheodory and Schur Functions
Section 2.3
Entropy Semicontinuity and the First Proof of Szego's Theorem
Section 4.2
The CMV Representation
Section 6.2
The Borodin-Okounkov Formula
Part 2: Spectral Theory
Section 9.2
Khrushchev's Proof of Rakhmanov's Theorem
Section 10.4
The Group U(1;1)
Section 11.1
The Discriminant
Section 13.2
CMV Matrices and the Geronimus Relations