Szego's Theorem and Its Descendants 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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Barry Simon 作者

Princeton University Press

译者

2010-11-8 出版日期

720 页数

USD 115.00 价格

Hardcover

丛书系列

9780691147048 图书编码

Szego's Theorem and Its Descendants 在线电子书图书标签: 数学微分几何7

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Szego's Theorem and Its Descendants 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

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Szego's Theorem and Its Descendants 在线电子书 pdf 下载 txt下载 epub 下载 mobi 在线电子书下载

Szego's Theorem and Its Descendants 在线电子书图书描述

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.

Szego's Theorem and Its Descendants 在线电子书下载 mobi epub pdf txt 在线电子书下载

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