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Szegos Theorem & Its Descendants
Barry Simon
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Description for Szegos Theorem & Its Descendants
Hardback. Presents a comprehensive overview of the sum rule approach to spectral analysis of orthogonal polynomials, which derives from Gbor Szego's classic 1915 theorem and its 1920 extension. This title emphasizes necessary and sufficient conditions, and provides mathematical background. Series: Porter Lectures. Num Pages: 664 pages, 8 line illus. BIC Classification: PB; PHQ. Category: (UP) Postgraduate, Research & Scholarly. Dimension: 243 x 165 x 36. Weight in Grams: 1078.
This book presents a comprehensive overview of the sum rule approach to spectral analysis of orthogonal polynomials, which derives from Gabor 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 of covering maps of the Riemann sphere with a finite number of slits removed. This allows for the first book-length treatment of orthogonal polynomials for measures supported on a finite number of intervals on the real ... Read more
This book presents a comprehensive overview of the sum rule approach to spectral analysis of orthogonal polynomials, which derives from Gabor 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 of covering maps of the Riemann sphere with a finite number of slits removed. This allows for the first book-length treatment of orthogonal polynomials for measures supported on a finite number of intervals on the real ... Read more
Product Details
Publication date
2010
Publisher
Princeton University Press United States
Number of pages
664
Condition
New
Series
Porter Lectures
Format
Hardback
Number of Pages
662
Place of Publication
New Jersey, United States
ISBN
9780691147048
SKU
V9780691147048
Shipping Time
Usually ships in 7 to 11 working days
Ref
99-1
About Barry Simon
Barry Simon is the IBM Professor of Mathematics and Theoretical Physics at the California Institute of Technology. His books include "Methods of Modern Mathematical Physics and Orthogonal Polynomials on the Unit Circle".
Reviews for Szegos Theorem & Its Descendants
"Simon can write books faster than most people can read them. The quality is very high and the level of scholarship is enormous... The book is recommended to everyone who wants to broaden his or her knowledge about recent developments in orthogonal polynomials. It is a pleasure to see that many areas of mathematics are tied together."
Christian Berg, Journal of ... Read more
Christian Berg, Journal of ... Read more