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






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