The Resource Szegő's theorem and its descendants : spectral theory for L2 perturbations of orthogonal polynomials, Barry Simon
Szegő's theorem and its descendants : spectral theory for L2 perturbations of orthogonal polynomials, Barry Simon
Resource Information
The item Szegő's theorem and its descendants : spectral theory for L2 perturbations of orthogonal polynomials, Barry Simon represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item Szegő's theorem and its descendants : spectral theory for L2 perturbations of orthogonal polynomials, Barry Simon represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.
This item is available to borrow from 1 library branch.
- Summary
- 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
- Language
- eng
- Extent
- 1 online resource (x, 650 pages)
- Contents
-
- 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
- Isbn
- 9781282821156
- Label
- Szegő's theorem and its descendants : spectral theory for L2 perturbations of orthogonal polynomials
- Title
- Szegő's theorem and its descendants
- Title remainder
- spectral theory for L2 perturbations of orthogonal polynomials
- Statement of responsibility
- Barry Simon
- Language
- eng
- Summary
- 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
- Cataloging source
- N$T
- http://library.link/vocab/creatorDate
- 1946-
- http://library.link/vocab/creatorName
- Simon, Barry
- Dewey number
- 515/.55
- Index
- index present
- LC call number
- QC20.7.S64
- LC item number
- S56 2011eb
- Literary form
- non fiction
- Nature of contents
-
- dictionaries
- bibliography
- http://library.link/vocab/subjectName
-
- Spectral theory (Mathematics)
- Orthogonal polynomials
- MATHEMATICS
- MATHEMATICS
- SCIENCE
- Orthogonal polynomials
- Spectral theory (Mathematics)
- Label
- Szegő's theorem and its descendants : spectral theory for L2 perturbations of orthogonal polynomials, Barry Simon
- Antecedent source
- unknown
- Bibliography note
- Includes bibliographical references and indexes
- Carrier category
- online resource
- Carrier category code
-
- cr
- Carrier MARC source
- rdacarrier
- Color
- multicolored
- Content category
- text
- Content type code
-
- txt
- Content type MARC source
- rdacontent
- Contents
- 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
- Control code
- 677162060
- Dimensions
- unknown
- Extent
- 1 online resource (x, 650 pages)
- File format
- unknown
- Form of item
- online
- Isbn
- 9781282821156
- Level of compression
- unknown
- Media category
- computer
- Media MARC source
- rdamedia
- Media type code
-
- c
- http://library.link/vocab/ext/overdrive/overdriveId
-
- cl0500000122
- 22573/cttvp04
- Quality assurance targets
- not applicable
- Reformatting quality
- unknown
- Sound
- unknown sound
- Specific material designation
- remote
- System control number
- (OCoLC)677162060
- Label
- Szegő's theorem and its descendants : spectral theory for L2 perturbations of orthogonal polynomials, Barry Simon
- Antecedent source
- unknown
- Bibliography note
- Includes bibliographical references and indexes
- Carrier category
- online resource
- Carrier category code
-
- cr
- Carrier MARC source
- rdacarrier
- Color
- multicolored
- Content category
- text
- Content type code
-
- txt
- Content type MARC source
- rdacontent
- Contents
- 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
- Control code
- 677162060
- Dimensions
- unknown
- Extent
- 1 online resource (x, 650 pages)
- File format
- unknown
- Form of item
- online
- Isbn
- 9781282821156
- Level of compression
- unknown
- Media category
- computer
- Media MARC source
- rdamedia
- Media type code
-
- c
- http://library.link/vocab/ext/overdrive/overdriveId
-
- cl0500000122
- 22573/cttvp04
- Quality assurance targets
- not applicable
- Reformatting quality
- unknown
- Sound
- unknown sound
- Specific material designation
- remote
- System control number
- (OCoLC)677162060
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<div class="citation" vocab="http://schema.org/"><i class="fa fa-external-link-square fa-fw"></i> Data from <span resource="http://link.library.missouri.edu/portal/Szeg%C5%91s-theorem-and-its-descendants--spectral/niBshmxUjZY/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.missouri.edu/portal/Szeg%C5%91s-theorem-and-its-descendants--spectral/niBshmxUjZY/">Szegő's theorem and its descendants : spectral theory for L2 perturbations of orthogonal polynomials, Barry Simon</a></span> - <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.missouri.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.missouri.edu/">University of Missouri Libraries</a></span></span></span></span></div>
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<div class="citation" vocab="http://schema.org/"><i class="fa fa-external-link-square fa-fw"></i> Data from <span resource="http://link.library.missouri.edu/portal/Szeg%C5%91s-theorem-and-its-descendants--spectral/niBshmxUjZY/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.missouri.edu/portal/Szeg%C5%91s-theorem-and-its-descendants--spectral/niBshmxUjZY/">Szegő's theorem and its descendants : spectral theory for L2 perturbations of orthogonal polynomials, Barry Simon</a></span> - <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.missouri.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.missouri.edu/">University of Missouri Libraries</a></span></span></span></span></div>
