Szego's Theorem and Its Descendants 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024

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Barry Simon 作者

Princeton University Press

譯者

2010-11-8 出版日期

720 頁數

USD 115.00 價格

Hardcover

叢書系列

9780691147048 圖書編碼

Szego's Theorem and Its Descendants 在線電子書圖書標籤: 數學微分幾何7

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發表於2024-12-23

Szego's Theorem and Its Descendants 在線電子書 epub 下載 mobi 下載 pdf 下載 txt 下載 2024

Szego's Theorem and Its Descendants 在線電子書 epub 下載 pdf 下載 mobi 下載 txt 下載 2024

Szego's Theorem and Its Descendants 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024

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Szego's Theorem and Its Descendants 在線電子書 pdf 下載 txt下載 epub 下載 mobi 在線電子書下載

Szego's Theorem and Its Descendants 在線電子書圖書描述

This book 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. 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 line. In addition to the Szego and Killip-Simon theorems for orthogonal polynomials on the unit circle (OPUC) and orthogonal polynomials on the real line (OPRL), Simon covers Toda lattices, the moment problem, and Jacobi operators on the Bethe lattice. Recent work on applications of universality of the CD kernel to obtain detailed asymptotics on the fine structure of the zeros is also included. The book places special emphasis on OPRL, which makes it the essential companion volume to the author's earlier books on OPUC.

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