The Resource Geometric analysis of the Bergman kernel and metric, Steven G. Krantz

Geometric analysis of the Bergman kernel and metric, Steven G. Krantz

Label
Geometric analysis of the Bergman kernel and metric
Title
Geometric analysis of the Bergman kernel and metric
Statement of responsibility
Steven G. Krantz
Title variation
Bergman kernel and metric
Creator
Author
Subject
Language
eng
Summary
This text provides a masterful and systematic treatment of all the basic analytic and geometric aspects of Bergman's classic theory of the kernel and its invariance properties. These include calculation, invariance properties, boundary asymptotics, and asymptotic expansion of the Bergman kernel and metric. Moreover, itpresents a unique compendium of results with applications to function theory, geometry, partial differential equations, and interpretations in the language of functional analysis, with emphasis on the several complex variables context. Several of these topics appear here for the first time in book form. Each chapter includes illustrative examples and a collection of exercises which will be of interest to both graduate students and experienced mathematicians. Graduate students who have taken courses in complex variables and have a basic background in real and functional analysis will find this textbook appealing. Applicable courses for either main or supplementary usage include those in complex variables, several complex variables, complex differential geometry, and partial differential equations. Researchers in complex analysis, harmonic analysis, PDEs, and complex differential geometry will also benefit from the thorough treatment of the many exciting aspects of Bergman's theory
Member of
Cataloging source
YDX
http://library.link/vocab/creatorDate
1951-
http://library.link/vocab/creatorName
Krantz, Steven G.
Dewey number
515.98
Illustrations
illustrations
Index
index present
LC call number
QA331
LC item number
.K73 2013
Literary form
non fiction
Nature of contents
bibliography
Series statement
Graduate texts in mathematics,
Series volume
268
http://library.link/vocab/subjectName
  • Bergman kernel functions
  • Bergman kernel functions
Label
Geometric analysis of the Bergman kernel and metric, Steven G. Krantz
Instantiates
Publication
Bibliography note
Includes bibliographical references (pages 277-285) 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
  • Introductory ideas
  • The Bergman metric
  • Geometric and analytic ideas
  • Partial differential equations
  • Further geometric explorations
  • Additional analytic topics
  • Curvature of the Bergman metric
  • Concluding remarks
Dimensions
25 cm.
Extent
xiii, 292 pages
Isbn
9781461479239
Isbn Type
(acid-free paper)
Lccn
2013944372
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
Other physical details
illustrations
System control number
(OCoLC)841520672
Label
Geometric analysis of the Bergman kernel and metric, Steven G. Krantz
Publication
Bibliography note
Includes bibliographical references (pages 277-285) 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
  • Introductory ideas
  • The Bergman metric
  • Geometric and analytic ideas
  • Partial differential equations
  • Further geometric explorations
  • Additional analytic topics
  • Curvature of the Bergman metric
  • Concluding remarks
Dimensions
25 cm.
Extent
xiii, 292 pages
Isbn
9781461479239
Isbn Type
(acid-free paper)
Lccn
2013944372
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
Other physical details
illustrations
System control number
(OCoLC)841520672

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