Coverart for item
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

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
Creator
Subject
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
Member of
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
Instantiates
Publication
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
Publication
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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      38.944491 -92.326012
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