Condenser Capacities and Symmetrization in Geometric Function Theory - Couverture rigide

Dubinin, Vladimir N.

 
9783034808422: Condenser Capacities and Symmetrization in Geometric Function Theory
Couverture rigide
ISBN 10 : 3034808429 ISBN 13 : 9783034808422
Editeur : Springer Basel, 2014

Synopsis

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.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Éditeur
Springer Basel
Date d'édition
2014
Langue
anglais
ISBN 10 
3034808429
ISBN 13 
9783034808422
Reliure
Relié
Nombre de pages
344
Coordonnées du fabricant
non disponible
Personne responsable
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Autres éditions populaires du même titre

9783034808446: Condenser Capacities and Symmetrization in Geometric Function Theory

Edition présentée

ISBN 10 :  3034808445 ISBN 13 :  9783034808446
Editeur : Birkhäuser, 2014
Couverture souple