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The Resource The Cauchy transform, potential theory, and conformal mapping, Steven R. Bell

The Cauchy transform, potential theory, and conformal mapping, Steven R. Bell

Label
The Cauchy transform, potential theory, and conformal mapping
Title
The Cauchy transform, potential theory, and conformal mapping
Statement of responsibility
Steven R. Bell
Creator
Author
Subject
Language
eng
Cataloging source
YDXCP
http://library.link/vocab/creatorName
Bell, Steven Robert
Index
index present
LC call number
QA360
LC item number
.B35 2016
Literary form
non fiction
Nature of contents
bibliography
http://library.link/vocab/subjectName
  • Cauchy transform
  • Functions of complex variables
  • Potential theory (Mathematics)
  • Conformal mapping
  • Cauchy transform
  • Conformal mapping
  • Functions of complex variables
  • Potential theory (Mathematics)
Label
The Cauchy transform, potential theory, and conformal mapping, Steven R. Bell
Instantiates
Publication
Copyright
Bibliography note
Includes bibliographical references (pages 203-206) 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
Introduction -- The improved Cauchy integral formula -- The Cauchy transform -- The Hardy space, Szegő projection, and Kerzman-Stein formula -- The Kerzman-Stein operator and kernel -- The classical definition of the Hardy space -- The Szegő kernel function -- The Riemann mapping function -- A density lemma and consequences -- Solution of the Dirichlet problem in simply connected domains -- The case of real analytic boundary -- The transformation law for the Szegő kernel -- The Ahlfors map of a multiply connected domain -- The Dirichlet problem in multiply connected domains -- The Bergman space -- Proper holomorphic mappings and the Bergman projection -- The Solid Cauchy transform -- The classical Neumann problem -- Harmonic measure and the Szegő kernel -- The Neumann problem in multiply connected domains -- The Dirichlet problem again -- Area quadrature domains -- Arc length quadrature domains -- The Hilbert transform -- The Bergman kernel and the Szegő kernel -- Pseudo-local property of the Cauchy transform -- Zeroes of the Szegő kernel -- The Kerzman-Stein integral equation -- Local boundary behavioir of holomorphic mappings -- The dual space of A -- The Green's function and the Bergman kernel -- Zeroes of the Bergman kernel -- Complexity in complex analysis -- Area quadrature domains and the double -- The Cauchy-Kovalevski theorem for the Cauchy-Riemann operator
Control code
913768203
Dimensions
24 cm
Edition
2nd edition.
Extent
xii, 209 pages
Isbn
9781498727204
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
System control number
(OCoLC)913768203
Label
The Cauchy transform, potential theory, and conformal mapping, Steven R. Bell
Publication
Copyright
Bibliography note
Includes bibliographical references (pages 203-206) 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
Introduction -- The improved Cauchy integral formula -- The Cauchy transform -- The Hardy space, Szegő projection, and Kerzman-Stein formula -- The Kerzman-Stein operator and kernel -- The classical definition of the Hardy space -- The Szegő kernel function -- The Riemann mapping function -- A density lemma and consequences -- Solution of the Dirichlet problem in simply connected domains -- The case of real analytic boundary -- The transformation law for the Szegő kernel -- The Ahlfors map of a multiply connected domain -- The Dirichlet problem in multiply connected domains -- The Bergman space -- Proper holomorphic mappings and the Bergman projection -- The Solid Cauchy transform -- The classical Neumann problem -- Harmonic measure and the Szegő kernel -- The Neumann problem in multiply connected domains -- The Dirichlet problem again -- Area quadrature domains -- Arc length quadrature domains -- The Hilbert transform -- The Bergman kernel and the Szegő kernel -- Pseudo-local property of the Cauchy transform -- Zeroes of the Szegő kernel -- The Kerzman-Stein integral equation -- Local boundary behavioir of holomorphic mappings -- The dual space of A -- The Green's function and the Bergman kernel -- Zeroes of the Bergman kernel -- Complexity in complex analysis -- Area quadrature domains and the double -- The Cauchy-Kovalevski theorem for the Cauchy-Riemann operator
Control code
913768203
Dimensions
24 cm
Edition
2nd edition.
Extent
xii, 209 pages
Isbn
9781498727204
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
System control number
(OCoLC)913768203

Library Locations

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      104 Ellis Library, Columbia, MO, 65201, US
      38.944377 -92.326537
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