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Szego?'s theorem and its descendants : spectral theory for L2 perturbations of orthogonal polynomials / [electronic resource]
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| 자료유형 | E-Book |
|---|---|
| 개인저자 | Simon, Barry, 1946- |
| 서명/저자사항 | Szego?'s theorem and its descendants[electronic resource] :spectral theory for L2 perturbations of orthogonal polynomials /Barry Simon. |
| 발행사항 | Princeton, N.J. : Princeton University Press, c2011. |
| 형태사항 | 1 online resource (x, 650 p.) |
| ISBN | 9781400837052 (electronic bk.) 1400837057 (electronic bk.) |
| 서지주기 | Includes bibliographical references and indexes. |
| 내용주기 | 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; |
| 요약 | 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. |
| 일반주제명 | Spectral theory (Mathematics) Orthogonal polynomials. Physics. Mathematics. Science. MATHEMATICS -- Calculus. MATHEMATICS -- Mathematical Analysis. Spectral theory (Mathematics). Orthogonal polynomials. SCIENCE / Physics / Mathematical & Computational. |
| 언어 | 영어 |
| 기타형태 저록 | Print version:Simon, Barry, 1946-Szego?'s theorem and its descendants.Princeton, N.J. : Princeton University Press, c20119780691147048 |
| 대출바로가기 | http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=340202 |
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| No. | 등록번호 | 청구기호 | 소장처 | 도서상태 | 반납예정일 | 예약 | 서비스 | 매체정보 |
|---|---|---|---|---|---|---|---|---|
| 1 | WE00002834 | 515/.55 | 가야대학교/전자책서버(컴퓨터서버)/ | 대출가능 |
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