Condenser Capacities and Symmetrization in Geometric Function Theory

• Κύριος συγγραφέας: Dubinin, Vladimir N. (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Basel : Springer Basel : Imprint: Birkhäuser, 2014.
• Θέματα: Mathematics.; Mathematical physics.; Mathematical Physics.

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 th...

Πίνακας περιεχομένων:

• 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.