The Resource The geometry of complex domains, Robert E. Greene, Kang-Tae Kim, Steven G. Krantz
The geometry of complex domains, Robert E. Greene, Kang-Tae Kim, Steven G. Krantz
Resource Information
The item The geometry of complex domains, Robert E. Greene, Kang-Tae Kim, Steven G. Krantz represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item The geometry of complex domains, Robert E. Greene, Kang-Tae Kim, Steven G. Krantz represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.
This item is available to borrow from 1 library branch.
- Summary
- The geometry of complex domains is a subject with roots extending back more than a century, to the uniformization theorem of Poincaré and Koebe and the resulting proof of existence of canonical metrics for hyperbolic Riemann surfaces. In modern times, developments in several complex variables by Bergman, Hörmander, Andreotti-Vesentini, Kohn, Fefferman, and others have opened up new possibilities for the unification of complex function theory and complex geometry. In particular, geometry can be used to study biholomorphic mappings in remarkable ways. This book presents a complete picture of these developments. Beginning with the one-variable case--background information which cannot be found elsewhere in one place--the book presents a complete picture of the symmetries of domains from the point of view of holomorphic mappings. It describes all the relevant techniques, from differential geometry to Lie groups to partial differential equations to harmonic analysis. Specific concepts addressed include: covering spaces and uniformization; Bergman geometry; automorphism groups; invariant metrics; the scaling method. All modern results are accompanied by detailed proofs, and many illustrative examples and figures appear throughout. Written by three leading experts in the field, The Geometry of Complex Domains is the first book to provide systematic treatment of recent developments in the subject of the geometry of complex domains and automorphism groups of domains. A unique and definitive work in this subject area, it will be a valuable resource for graduate students and a useful reference for researchers in the field
- Language
- eng
- Extent
- 1 online resource (xiv, 303 pages).
- Contents
-
- Riemann Surfaces and Covering Spaces
- The Bergman Kernel and Metric
- Applications of Bergman Geometry
- Lie Groups Realized as Automorphism Groups
- The Significance of Large Isotropy Groups
- Some Other Invariant Metrics
- Automorphism Groups and Classification of Reinhardt Domains
- The Scaling Method, I
- The Scaling Method, II
- Isbn
- 9780817641399
- Label
- The geometry of complex domains
- Title
- The geometry of complex domains
- Statement of responsibility
- Robert E. Greene, Kang-Tae Kim, Steven G. Krantz
- Language
- eng
- Summary
- The geometry of complex domains is a subject with roots extending back more than a century, to the uniformization theorem of Poincaré and Koebe and the resulting proof of existence of canonical metrics for hyperbolic Riemann surfaces. In modern times, developments in several complex variables by Bergman, Hörmander, Andreotti-Vesentini, Kohn, Fefferman, and others have opened up new possibilities for the unification of complex function theory and complex geometry. In particular, geometry can be used to study biholomorphic mappings in remarkable ways. This book presents a complete picture of these developments. Beginning with the one-variable case--background information which cannot be found elsewhere in one place--the book presents a complete picture of the symmetries of domains from the point of view of holomorphic mappings. It describes all the relevant techniques, from differential geometry to Lie groups to partial differential equations to harmonic analysis. Specific concepts addressed include: covering spaces and uniformization; Bergman geometry; automorphism groups; invariant metrics; the scaling method. All modern results are accompanied by detailed proofs, and many illustrative examples and figures appear throughout. Written by three leading experts in the field, The Geometry of Complex Domains is the first book to provide systematic treatment of recent developments in the subject of the geometry of complex domains and automorphism groups of domains. A unique and definitive work in this subject area, it will be a valuable resource for graduate students and a useful reference for researchers in the field
- Cataloging source
- GW5XE
- http://library.link/vocab/creatorDate
- 1943-
- http://library.link/vocab/creatorName
- Greene, Robert Everist
- Dewey number
- 516.3/5
- Index
- index present
- LC call number
- QA360
- LC item number
- .G74 2011
- Literary form
- non fiction
- Nature of contents
-
- dictionaries
- bibliography
- http://library.link/vocab/relatedWorkOrContributorDate
-
- 1957-
- 1951-
- http://library.link/vocab/relatedWorkOrContributorName
-
- Kim, Kang-Tae
- Krantz, Steven G.
- Series statement
- Progress in mathematics
- http://library.link/vocab/subjectName
-
- Geometric function theory
- Geometry, Algebraic
- MATHEMATICS
- Geometric function theory
- Geometry, Algebraic
- Label
- The geometry of complex domains, Robert E. Greene, Kang-Tae Kim, Steven G. Krantz
- Bibliography note
- Includes bibliographical references and index
- 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
- Riemann Surfaces and Covering Spaces -- The Bergman Kernel and Metric -- Applications of Bergman Geometry -- Lie Groups Realized as Automorphism Groups -- The Significance of Large Isotropy Groups -- Some Other Invariant Metrics -- Automorphism Groups and Classification of Reinhardt Domains -- The Scaling Method, I -- The Scaling Method, II
- Control code
- 733543293
- Dimensions
- unknown
- Extent
- 1 online resource (xiv, 303 pages).
- Form of item
- online
- Isbn
- 9780817641399
- Media category
- computer
- Media MARC source
- rdamedia
- Media type code
-
- c
- Other control number
- 10.1007/978-0-8176-4622-6
- http://library.link/vocab/ext/overdrive/overdriveId
- 978-0-8176-4139-9
- Specific material designation
- remote
- System control number
- (OCoLC)733543293
- Label
- The geometry of complex domains, Robert E. Greene, Kang-Tae Kim, Steven G. Krantz
- Bibliography note
- Includes bibliographical references and index
- 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
- Riemann Surfaces and Covering Spaces -- The Bergman Kernel and Metric -- Applications of Bergman Geometry -- Lie Groups Realized as Automorphism Groups -- The Significance of Large Isotropy Groups -- Some Other Invariant Metrics -- Automorphism Groups and Classification of Reinhardt Domains -- The Scaling Method, I -- The Scaling Method, II
- Control code
- 733543293
- Dimensions
- unknown
- Extent
- 1 online resource (xiv, 303 pages).
- Form of item
- online
- Isbn
- 9780817641399
- Media category
- computer
- Media MARC source
- rdamedia
- Media type code
-
- c
- Other control number
- 10.1007/978-0-8176-4622-6
- http://library.link/vocab/ext/overdrive/overdriveId
- 978-0-8176-4139-9
- Specific material designation
- remote
- System control number
- (OCoLC)733543293
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<div class="citation" vocab="http://schema.org/"><i class="fa fa-external-link-square fa-fw"></i> Data from <span resource="http://link.library.missouri.edu/portal/The-geometry-of-complex-domains-Robert-E./pIZTjtc2m4c/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.missouri.edu/portal/The-geometry-of-complex-domains-Robert-E./pIZTjtc2m4c/">The geometry of complex domains, Robert E. Greene, Kang-Tae Kim, Steven G. Krantz</a></span> - <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.missouri.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.missouri.edu/">University of Missouri Libraries</a></span></span></span></span></div>
