Cargando…
Szegő's theorem and its descendants : spectral theory for L2 perturbations of orthogonal polynomials /
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 th...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Princeton, N.J. :
Princeton University Press,
©2011.
|
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
| LEADER | 00000cam a2200000 a 4500 | ||
|---|---|---|---|
| 001 | EBOOKCENTRAL_ocn677162060 | ||
| 003 | OCoLC | ||
| 005 | 20240329122006.0 | ||
| 006 | m o d | ||
| 007 | cr cnu---unuuu | ||
| 008 | 101103s2011 nju ob 001 0 eng d | ||
| 040 | |a N$T |b eng |e pn |c N$T |d YDXCP |d EBLCP |d E7B |d CDX |d OCLCQ |d MHW |d UMI |d REDDC |d OCLCQ |d MERUC |d COO |d OCLCQ |d DEBSZ |d OCLCQ |d JSTOR |d OCLCF |d OCLCQ |d SNK |d IDEBK |d DEBBG |d OCLCQ |d AZK |d AGLDB |d MOR |d PIFAG |d ZCU |d OTZ |d OCLCQ |d IOG |d NJR |d EZ9 |d OCLCQ |d VTS |d CEF |d ICG |d OCLCQ |d INT |d OCLCQ |d LVT |d VT2 |d WYU |d YOU |d TKN |d OCLCQ |d UAB |d STF |d DKC |d OCLCQ |d M8D |d UKAHL |d OCLCQ |d AJS |d UWK |d OCLCO |d OCLCQ |d OCLCO |d OCLCL |d OCLCQ |d OCLCL | ||
| 019 | |a 691080909 |a 729029328 |a 773205599 |a 784841393 |a 816598747 |a 961547000 |a 988497368 |a 992116802 |a 994901006 |a 1055360894 |a 1103275907 | ||
| 020 | |a 9781400837052 |q (electronic bk.) | ||
| 020 | |a 1400837057 |q (electronic bk.) | ||
| 020 | |a 1282821156 | ||
| 020 | |a 9781282821156 | ||
| 020 | |z 0691147043 | ||
| 020 | |z 9780691147048 | ||
| 029 | 1 | |a AU@ |b 000048847753 | |
| 029 | 1 | |a AU@ |b 000051415683 | |
| 029 | 1 | |a AU@ |b 000051620906 | |
| 029 | 1 | |a DEBBG |b BV040901368 | |
| 029 | 1 | |a DEBBG |b BV042693224 | |
| 029 | 1 | |a DEBBG |b BV043122706 | |
| 029 | 1 | |a DEBBG |b BV044147335 | |
| 029 | 1 | |a DEBSZ |b 372801986 | |
| 029 | 1 | |a DEBSZ |b 378286641 | |
| 029 | 1 | |a DEBSZ |b 379317494 | |
| 029 | 1 | |a DEBSZ |b 381374068 | |
| 029 | 1 | |a DEBSZ |b 421677953 | |
| 029 | 1 | |a DEBSZ |b 445577924 | |
| 029 | 1 | |a DEBSZ |b 447043919 | |
| 029 | 1 | |a GBVCP |b 1003656730 | |
| 029 | 1 | |a GBVCP |b 785358765 | |
| 029 | 1 | |a NZ1 |b 14244808 | |
| 035 | |a (OCoLC)677162060 |z (OCoLC)691080909 |z (OCoLC)729029328 |z (OCoLC)773205599 |z (OCoLC)784841393 |z (OCoLC)816598747 |z (OCoLC)961547000 |z (OCoLC)988497368 |z (OCoLC)992116802 |z (OCoLC)994901006 |z (OCoLC)1055360894 |z (OCoLC)1103275907 | ||
| 037 | |a CL0500000122 |b Safari Books Online | ||
| 037 | |a 22573/cttvp04 |b JSTOR | ||
| 050 | 4 | |a QC20.7.S64 |b S56 2011eb | |
| 072 | 7 | |a MAT |x 005000 |2 bisacsh | |
| 072 | 7 | |a MAT |x 034000 |2 bisacsh | |
| 072 | 7 | |a SCI040000 |2 bisacsh | |
| 072 | 7 | |a MAT034000 |2 bisacsh | |
| 072 | 7 | |a PB |2 bicssc | |
| 082 | 0 | 4 | |a 515/.55 |2 22 |
| 084 | |a SK 680 |2 rvk | ||
| 049 | |a UAMI | ||
| 100 | 1 | |a Simon, Barry, |d 1946- |1 https://id.oclc.org/worldcat/entity/E39PBJbMcCjJtptX9HCWtTTmBP | |
| 245 | 1 | 0 | |a Szegő's theorem and its descendants : |b spectral theory for L2 perturbations of orthogonal polynomials / |c Barry Simon. |
| 260 | |a Princeton, N.J. : |b Princeton University Press, |c ©2011. | ||
| 300 | |a 1 online resource (x, 650 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 504 | |a Includes bibliographical references and indexes. | ||
| 520 | |a 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 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 | 0 | |a Print version record. | |
| 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. | |
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
| 590 | |a eBooks on EBSCOhost |b EBSCO eBook Subscription Academic Collection - Worldwide | ||
| 590 | |a JSTOR |b Books at JSTOR Demand Driven Acquisitions (DDA) | ||
| 650 | 0 | |a Spectral theory (Mathematics) | |
| 650 | 0 | |a Orthogonal polynomials. | |
| 650 | 6 | |a Spectre (Mathématiques) | |
| 650 | 6 | |a Polynômes orthogonaux. | |
| 650 | 7 | |a MATHEMATICS |x Calculus. |2 bisacsh | |
| 650 | 7 | |a MATHEMATICS |x Mathematical Analysis. |2 bisacsh | |
| 650 | 7 | |a SCIENCE |x Physics |x Mathematical & Computational. |2 bisacsh | |
| 650 | 7 | |a Orthogonal polynomials |2 fast | |
| 650 | 7 | |a Spectral theory (Mathematics) |2 fast | |
| 758 | |i has work: |a Szegő's theorem and its descendants (Text) |1 https://id.oclc.org/worldcat/entity/E39PCH399xvM37YtyQ7rcWxybb |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 776 | 0 | 8 | |i Print version: |a Simon, Barry, 1946- |t Szegö's theorem and its descendants. |d Princeton, N.J. : Princeton University Press, ©2011 |z 9780691147048 |w (DLC) 2010023223 |w (OCoLC)587249070 |
| 856 | 4 | 0 | |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=590814 |z Texto completo |
| 938 | |a Askews and Holts Library Services |b ASKH |n AH26387819 | ||
| 938 | |a Coutts Information Services |b COUT |n 15746600 | ||
| 938 | |a EBL - Ebook Library |b EBLB |n EBL590814 | ||
| 938 | |a ebrary |b EBRY |n ebr10421701 | ||
| 938 | |a EBSCOhost |b EBSC |n 340202 | ||
| 938 | |a ProQuest MyiLibrary Digital eBook Collection |b IDEB |n 282115 | ||
| 938 | |a YBP Library Services |b YANK |n 3500820 | ||
| 994 | |a 92 |b IZTAP | ||