| LDR | | 03812cmm uu200721Ia 4500 |
| 001 | | 000000301914 |
| 003 | | OCoLC |
| 005 | | 20230519144119 |
| 006 | | m o d |
| 007 | | cr cnu---unuuu |
| 008 | | 101103s2011 nju ob 001 0 eng d |
| 010 | |
▼a 2010023223 |
| 019 | |
▼a 773205599 |
| 020 | |
▼a 9781400837052 (electronic bk.) |
| 020 | |
▼a 1400837057 (electronic bk.) |
| 020 | |
▼z 0691147043 |
| 020 | |
▼z 9780691147048 |
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▼a (OCoLC)677162060 |
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▼a CL0500000122
▼b Safari Books Online |
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▼a 22573/cttvp04
▼b JSTOR |
| 040 | |
▼a N$T
▼b eng
▼c N$T
▼d YDXCP
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▼d OCLCQ
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▼d OCLCQ
▼d DEBSZ
▼d OCLCQ
▼d JSTOR
▼d 248032 |
| 049 | |
▼a K4RA |
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▼a QC20.7.S64
▼b S56 2011eb |
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▼a MAT
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▼a 515/.55
▼2 22 |
| 100 | 1 |
▼a Simon, Barry,
▼d 1946- |
| 245 | 10 |
▼a Szego?'s theorem and its descendants
▼h [electronic resource] :
▼b spectral theory for L2 perturbations of orthogonal polynomials /
▼c Barry Simon. |
| 260 | |
▼a Princeton, N.J. :
▼b Princeton University Press,
▼c c2011. |
| 300 | |
▼a 1 online resource (x, 650 p.) |
| 504 | |
▼a Includes bibliographical references and indexes. |
| 505 | 0 |
▼a Cover; Contents; Preface; Chapter 1. Gems of Spectral Theory; Chapter 2. Szego's Theorem; Chapter 3. The Killip-Simon Theorem: Szego for OPRL; Chapter 4. Sum Rules and Consequences for Matrix Orthogonal Polynomials; Chapter 5. Periodic OPRL; Chapter 6. Toda Flows and Symplectic Structures; Chapter 7. Right Limits; Chapter 8. Szego and Killip-Simon Theorems for Periodic OPRL; Chapter 9. Szego's Theorem for Finite Gap OPRL; Chapter 10. A.C. Spectrum for Bethe-Cayley Trees; Bibliography; Author Index; Subject Index; |
| 520 | |
▼a This book presents a comprehensive overview of the sum rule approach to spectral analysis of orthogonal polynomials, which derives from Ga?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 of covering maps of the Riemann sphere with a finite number of slits removed. This allows for the first book-length treatment of orthogonal polynomia. |
| 588 | |
▼a Description based on print version record. |
| 650 | 0 |
▼a Spectral theory (Mathematics) |
| 650 | 0 |
▼a Orthogonal polynomials. |
| 650 | 4 |
▼a Physics. |
| 650 | 4 |
▼a Mathematics. |
| 650 | 4 |
▼a Science. |
| 650 | 7 |
▼a MATHEMATICS
▼x Calculus.
▼2 bisacsh |
| 650 | 7 |
▼a MATHEMATICS
▼x Mathematical Analysis.
▼2 bisacsh |
| 650 | 7 |
▼a Spectral theory (Mathematics).
▼2 local |
| 650 | 7 |
▼a Orthogonal polynomials.
▼2 local |
| 650 | 7 |
▼a SCIENCE / Physics / Mathematical & Computational.
▼2 bisacsh |
| 655 | 4 |
▼a Electronic books. |
| 776 | 08 |
▼i Print version:
▼a Simon, Barry, 1946-
▼t Szego?'s theorem and its descendants.
▼d Princeton, N.J. : Princeton University Press, c2011
▼z 9780691147048
▼w (DLC) 2010023223
▼w (OCoLC)587249070 |
| 856 | 40 |
▼3 EBSCOhost
▼u http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=340202 |
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▼a 관리자 |
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▼a 92
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