Szegő's Theorem and Its Descendants: Spectral Theory for L2 Perturbations of Orthogonal Polynomials

by Barry Simon

This book presents a comprehensive overview of the sum rule approach to spectral analysis of orthogonal polynomials, which derives from G bor Szego's classic 1915 theorem and its 1920 extension. Barry Simon emphasizes necessary and sufficient conditions, and provides mathematical background that until now has been available only in journals. Topics include background from the theory of meromorphic functions on hyperelliptic surfaces and the study...

• Format: Hardcover
• Language: English
• ISBN: 0691147043
• ISBN13: 9780691147048
• Release Date: November 2010
• Publisher: Princeton University Press
• Length: 664 Pages
• Weight: 2.40 lbs.
• Dimensions: 1.5" x 6.2" x 9.3"