Condenser Capacities and Symmetrization in Geometric Function Theory - Rilegato

Dubinin, Vladimir N.

 
9783034808422: Condenser Capacities and Symmetrization in Geometric Function Theory

Sinossi

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.

Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.

Dalla quarta di copertina

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.

Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.

Altre edizioni note dello stesso titolo

9783034808446: Condenser Capacities and Symmetrization in Geometric Function Theory

Edizione in evidenza

ISBN 10:  3034808445 ISBN 13:  9783034808446
Casa editrice: Birkhäuser, 2014
Brossura