The Resource Condenser capacities and symmetrization in geometric function theory, Vladimir N. Dubinin

Condenser capacities and symmetrization in geometric function theory, Vladimir N. Dubinin

Label
Condenser capacities and symmetrization in geometric function theory
Title
Condenser capacities and symmetrization in geometric function theory
Statement of responsibility
Vladimir N. Dubinin
Creator
Contributor
Author
Translator
Subject
Genre
Language
  • eng
  • rus
  • eng
Summary
This is the first systematic presentation of the capacitory approach and symmetrization in the context of complex analysis. The content of the book is original - the main part has not been covered by existing textbooks and monographs. After an introduction to the theory of condenser capacities in the plane, the monotonicity of the capacity under various special transformations (polarization, Gonchar transformation, averaging transformations and others) is established, followed by various types of symmetrization which are one of the main objects of the book. By using symmetrization principles, some metric properties of compact sets are obtained and some extremal decomposition problems are solved. Moreover, the classical and present facts for univalent and multivalent meromorphic functions are proven. This book will be a valuable source for current and future researchers in various branches of complex analysis and potential theory
Cataloging source
GW5XE
http://library.link/vocab/creatorName
Dubinin, V. N.
Dewey number
530.15
Illustrations
illustrations
Index
index present
LC call number
QC20
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/relatedWorkOrContributorName
Kruzhilin, Nikolai G.
http://library.link/vocab/subjectName
  • Mathematical physics
  • SCIENCE
  • SCIENCE
  • SCIENCE
  • Mathematical physics
  • Geometrische Funktionentheorie
  • Symmetrisierung
  • Kondensator
  • Kapazität
Label
Condenser capacities and symmetrization in geometric function theory, Vladimir N. Dubinin
Link
https://ezproxy.lib.ou.edu/login?url=http://link.springer.com/10.1007/978-3-0348-0843-9
Instantiates
Publication
Note
"Translated from the Russian by Nikolai G. Kruzhilin."
Antecedent source
unknown
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
Preface -- 1. Conformal capacity -- 2. Asymptotics of the condenser capacity when one of the plate degenerates -- Special transformations -- 4. Symmetrization -- 5. Metric properties of sets and condensers -- 6. Problems of extremal decomposition -- 7. Univalent functions -- 8. Multivalent functions -- Appendices: A1. Dirichlet principle -- A2. Uniqueness theorem for contracting mapping -- A3. On separating transformation of sets and condensers -- A4. On conservation of reduced moduli under geometric trans-formation of domains -- A5. Quadratic differentials -- A6. Unsolved problems -- References -- Basic notations -- Subject index
Dimensions
unknown
Extent
1 online resource (xii, 344 pages)
File format
unknown
Form of item
online
Isbn
9783034808439
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
c
Note
SpringerLink
Other control number
10.1007/978-3-0348-0843-9
Other physical details
illustrations
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
  • (OCoLC)889579257
  • (OCoLC)ocn889579257
Label
Condenser capacities and symmetrization in geometric function theory, Vladimir N. Dubinin
Link
https://ezproxy.lib.ou.edu/login?url=http://link.springer.com/10.1007/978-3-0348-0843-9
Publication
Note
"Translated from the Russian by Nikolai G. Kruzhilin."
Antecedent source
unknown
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
Preface -- 1. Conformal capacity -- 2. Asymptotics of the condenser capacity when one of the plate degenerates -- Special transformations -- 4. Symmetrization -- 5. Metric properties of sets and condensers -- 6. Problems of extremal decomposition -- 7. Univalent functions -- 8. Multivalent functions -- Appendices: A1. Dirichlet principle -- A2. Uniqueness theorem for contracting mapping -- A3. On separating transformation of sets and condensers -- A4. On conservation of reduced moduli under geometric trans-formation of domains -- A5. Quadratic differentials -- A6. Unsolved problems -- References -- Basic notations -- Subject index
Dimensions
unknown
Extent
1 online resource (xii, 344 pages)
File format
unknown
Form of item
online
Isbn
9783034808439
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
c
Note
SpringerLink
Other control number
10.1007/978-3-0348-0843-9
Other physical details
illustrations
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
  • (OCoLC)889579257
  • (OCoLC)ocn889579257

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