Szegő's Theorem and Its Descendants : : Spectral Theory for L‹sup›2‹/sup› Perturbations of Orthogonal Polynomials / / Barry Simon.
This book presents a comprehensive overview of the sum rule approach to spectral analysis of orthogonal polynomials, which derives from Gábor Szego's classic 1915 theorem and its 1920 extension. Barry Simon emphasizes necessary and sufficient conditions, and provides mathematical background tha...
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| Superior document: | Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Backlist 2000-2013 |
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| Place / Publishing House: | Princeton, NJ : : Princeton University Press, , [2010] ©2011 |
| Year of Publication: | 2010 |
| Edition: | Course Book |
| Language: | English |
| Series: | Porter Lectures ;
6 |
| Online Access: | |
| Physical Description: | 1 online resource (664 p.) :; 8 line illus. |
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Table of Contents:
- Frontmatter
- Contents
- Preface
- Chapter One. Gems of Spectral Theory
- Chapter Two. Szegő's Theorem
- Chapter Three The Killip-Simon Theorem: Szegő for OPRL
- Chapter Four. Sum Rules and Consequences for Matrix Orthogonal Polynomials
- Chapter Five. Periodic OPRL
- Chapter Six. Toda Flows and Symplectic Structures
- Chapter Seven. Right Limits
- Chapter Eight. Szegő and Killip-Simon Theorems for Periodic OPRL
- Chapter Nine. Szegő's Theorem for Finite Gap OPRL
- Chapter Ten. A.C. Spectrum for Bethe-Cayley Trees
- Bibliography
- Author Index
- Subject Index