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The Resource Condenser Capacities and Symmetrization in Geometric Function Theory, by Vladimir N. Dubinin, (electronic resource)

Condenser Capacities and Symmetrization in Geometric Function Theory, by Vladimir N. Dubinin, (electronic resource)

Creator
Author
Contributor
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
Language
eng
Work
Publication
Extent
XII, 344 pages 35 illustrations
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
Isbn
9783034808439
Link
https://eui.idm.oclc.org/login?url=http://dx.doi.org/10.1007/978-3-0348-0843-9
Instance
Label
Condenser Capacities and Symmetrization in Geometric Function Theory
Title
Condenser Capacities and Symmetrization in Geometric Function Theory
Statement of responsibility
by Vladimir N. Dubinin
Creator
Contributor
Author
Subject
Language
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
Member of
Cataloging source
IT-FiEUI
http://library.link/vocab/creatorName
Dubinin, Vladimir N
Image bit depth
0
Literary form
non fiction
http://library.link/vocab/relatedWorkOrContributorName
SpringerLink (Online service)
Series statement
Springer eBooks
http://library.link/vocab/subjectName
Mathematics
Label
Condenser Capacities and Symmetrization in Geometric Function Theory, by Vladimir N. Dubinin, (electronic resource)
Link
https://eui.idm.oclc.org/login?url=http://dx.doi.org/10.1007/978-3-0348-0843-9
Instantiates
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier.
Color
not applicable
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
Control code
978-3-0348-0843-9
Dimensions
unknown
Extent
XII, 344 pages 35 illustrations
File format
multiple file formats
Form of item
electronic
Governing access note
Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
Isbn
9783034808439
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia.
Media type code
  • c
Other control number
10.1007/978-3-0348-0843-9
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)1086467811
Label
Condenser Capacities and Symmetrization in Geometric Function Theory, by Vladimir N. Dubinin, (electronic resource)
Link
https://eui.idm.oclc.org/login?url=http://dx.doi.org/10.1007/978-3-0348-0843-9
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier.
Color
not applicable
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
Control code
978-3-0348-0843-9
Dimensions
unknown
Extent
XII, 344 pages 35 illustrations
File format
multiple file formats
Form of item
electronic
Governing access note
Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
Isbn
9783034808439
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia.
Media type code
  • c
Other control number
10.1007/978-3-0348-0843-9
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)1086467811

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