The Resource The theory of H(b) spaces, Emmanuel Fricain, Javad Mashreghi

The theory of H(b) spaces, Emmanuel Fricain, Javad Mashreghi

Label
The theory of H(b) spaces
Title
The theory of H(b) spaces
Statement of responsibility
Emmanuel Fricain, Javad Mashreghi
Creator
Contributor
Author
Subject
Language
eng
Summary
"An H(b) space is defined as a collection of analytic functions which are in the image of an operator. The theory of H(b) spaces bridges two classical subjects: complex analysis and operator theory, which makes it both appealing and demanding. The first volume of this comprehensive treatment is devoted to the preliminary subjects required to understand the foundation of H(b) spaces, such as Hardy spaces, Fourier analysis, integral representation theorems, Carleson measures, Toeplitz and Hankel operators, various types of shift operators, and Clark measures. The second volume focuses on the central theory. Both books are accessible to graduate students as well as researchers: each volume contains numerous exercises and hints, and figures are included throughout to illustrate the theory. Together, these two volumes provide everything the reader needs to understand and appreciate this beautiful branch of mathematics"--
Member of
Assigning source
Provided by publisher
Cataloging source
YDXCP
http://library.link/vocab/creatorDate
1971-
http://library.link/vocab/creatorName
Fricain, Emmanuel
Dewey number
515/.733
Index
index present
LC call number
QA322.4
LC item number
.F73 2016
Literary form
non fiction
Nature of contents
bibliography
http://library.link/vocab/relatedWorkOrContributorName
Mashreghi, Javad
Series statement
New mathematical monographs
Series volume
20-21
http://library.link/vocab/subjectName
  • Hilbert space
  • Hardy spaces
  • Analytic functions
  • Linear operators
  • MATHEMATICS
  • Analytic functions
  • Hardy spaces
  • Hilbert space
  • Linear operators
Label
The theory of H(b) spaces, Emmanuel Fricain, Javad Mashreghi
Instantiates
Publication
Bibliography note
Includes bibliographic references and index
Carrier category
volume
Carrier category code
nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
Machine generated contents note: List of figures; Preface; List of symbols; Important conventions; 1. *Normed linear spaces and their operators; 2. Some families of operators; 3. Harmonic functions on the open unit disc; 4. Analytic functions on the open unit disc; 5. The corona problem; 6. Extreme and exposed points; 7. More advanced results in operator theory; 8. The shift operator; 9. Analytic reproducing kernel Hilbert spaces; 10. Bases in Banach spaces; 11. Hankel operators; 12. Toeplitz operators; 13. Cauchy transform and Clark measures; 14. Model subspaces KT; 15. Bases of reproducing kernels and interpolation; Bibliography; Index
Dimensions
24 cm.
Extent
2 volumes
Isbn
9781107119413
Lccn
2014005539
Media category
unmediated
Media MARC source
rdamedia
Media type code
n
System control number
  • (OCoLC)950745100
  • (OCoLC)ocn950745100
Label
The theory of H(b) spaces, Emmanuel Fricain, Javad Mashreghi
Publication
Bibliography note
Includes bibliographic references and index
Carrier category
volume
Carrier category code
nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
Machine generated contents note: List of figures; Preface; List of symbols; Important conventions; 1. *Normed linear spaces and their operators; 2. Some families of operators; 3. Harmonic functions on the open unit disc; 4. Analytic functions on the open unit disc; 5. The corona problem; 6. Extreme and exposed points; 7. More advanced results in operator theory; 8. The shift operator; 9. Analytic reproducing kernel Hilbert spaces; 10. Bases in Banach spaces; 11. Hankel operators; 12. Toeplitz operators; 13. Cauchy transform and Clark measures; 14. Model subspaces KT; 15. Bases of reproducing kernels and interpolation; Bibliography; Index
Dimensions
24 cm.
Extent
2 volumes
Isbn
9781107119413
Lccn
2014005539
Media category
unmediated
Media MARC source
rdamedia
Media type code
n
System control number
  • (OCoLC)950745100
  • (OCoLC)ocn950745100

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