Condenser Capacities and Symmetrization in Geometric Function Theory - Hardcover

Dubinin, Vladimir N.

Hardcover

ISBN 10: 3034808429 ISBN 13: 9783034808422

Verlag: Birkhäuser, 2014

Inhaltsangabe

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.

Über diesen Titel

Von der hinteren Coverseite

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.

Details zur Ausgabe

• Verlag: Birkhäuser
• Erscheinungsdatum: 2014
• Sprache: Englisch
• ISBN 10: 3034808429
• ISBN 13: 9783034808422
• Einband: Tapa dura
• Anzahl der Seiten: 358
• Kontakt zum Hersteller: Nicht verfügbar
• Verantwortliche Person: CMN Printpool Inh. Mathis Neumann; https://www.also.com/ec/cms5/en_6000/6000/index.jsp; ; Friedrich-Karl-Str. 9; Hamburg; Deutschland