The Resource Function theory : interpolation and corona problems, Eric T. Sawyer

Function theory : interpolation and corona problems, Eric T. Sawyer

Label
Function theory : interpolation and corona problems
Title
Function theory
Title remainder
interpolation and corona problems
Statement of responsibility
Eric T. Sawyer
Title variation
Interpolation and corona problems
Creator
Contributor
Subject
Language
eng
Summary
"These lecture notes take the reader from Lennart Carleson's first deep results on interpolation and corona problems in the unit disk to modern analogues in the disk and ball. The emphasis is on introducing the diverse array of techniques needed to attack these problems rather than producing an encyclopedic summary of achievements. Techniques from classical analysis and operator theory include duality, Blaschke product constructions, purely Hilbert space arguments, bounded mean oscillation, best approximation, boundedness of the Beurling transform, the Koszul complex, use of trees, the complete Pick property, and the Toeplitz corona theorem. An extensive appendix on background material in functional analysis and function theory on the disk is included for the reader's convenience."--BOOK JACKET
Member of
Cataloging source
DLC
http://library.link/vocab/creatorDate
1951-
http://library.link/vocab/creatorName
Sawyer, E. T.
Dewey number
515/.7
Index
index present
LC call number
QA321
LC item number
.S29 2009
Literary form
non fiction
Nature of contents
bibliography
http://library.link/vocab/relatedWorkOrContributorName
  • American Mathematical Society
  • Fields Institute for Research in Mathematical Sciences
Series statement
Fields Institute monographs
Series volume
25
http://library.link/vocab/subjectName
  • Functional analysis
  • Interpolation
Label
Function theory : interpolation and corona problems, Eric T. Sawyer
Instantiates
Publication
Bibliography note
Includes bibliographical references (p. 199-200) and index
Contents
  • Ch. 5.
  • Hilbert Function Spaces and Nevanlinna-Pick Kernels
  • Ch. 6.
  • Carleson Measures for the Hardy-Sobolev Spaces
  • Appendix A.
  • Functional Analysis
  • Appendix B.
  • Weak Derivatives and Sobolev Spaces
  • Appendix C.
  • Function Theory on the Disk
  • Ch. 1.
  • Appendix D.
  • Spectral Theory for Normal Operators
  • Preliminaries
  • Ch. 2.
  • Interpolation Problem
  • Ch. 3.
  • Corona Problem
  • Ch. 4.
  • Toeplitz and Hankel Operators
Dimensions
27 cm.
Extent
ix, 203 p.
Isbn
9780821847343
Isbn Type
(alk. paper)
Lccn
2008047418
System control number
  • (CaMWU)u2097449-01umb_inst
  • 2151085
  • (Sirsi) i9780821847343
  • (OCoLC)268957382
Label
Function theory : interpolation and corona problems, Eric T. Sawyer
Publication
Bibliography note
Includes bibliographical references (p. 199-200) and index
Contents
  • Ch. 5.
  • Hilbert Function Spaces and Nevanlinna-Pick Kernels
  • Ch. 6.
  • Carleson Measures for the Hardy-Sobolev Spaces
  • Appendix A.
  • Functional Analysis
  • Appendix B.
  • Weak Derivatives and Sobolev Spaces
  • Appendix C.
  • Function Theory on the Disk
  • Ch. 1.
  • Appendix D.
  • Spectral Theory for Normal Operators
  • Preliminaries
  • Ch. 2.
  • Interpolation Problem
  • Ch. 3.
  • Corona Problem
  • Ch. 4.
  • Toeplitz and Hankel Operators
Dimensions
27 cm.
Extent
ix, 203 p.
Isbn
9780821847343
Isbn Type
(alk. paper)
Lccn
2008047418
System control number
  • (CaMWU)u2097449-01umb_inst
  • 2151085
  • (Sirsi) i9780821847343
  • (OCoLC)268957382

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