Derivatives of Inner Functions - Couverture rigide

Mashreghi

 
9781461456100: Derivatives of Inner Functions
Couverture rigide
ISBN 10 : 146145610X ISBN 13 : 9781461456100
Editeur : Springer, 2012

Synopsis

​Inner functions form an important subclass of bounded analytic functions. Since they have unimodular boundary values, they appear in many extremal problems of complex analysis. They have been extensively studied since early last century, and the literature on this topic is vast. Therefore, this book is devoted to a concise study of derivatives of these objects, and confined to treating the integral means of derivatives and presenting a comprehensive list of results on Hardy and Bergman means. The goal is to provide rapid access to the frontiers of research in this field. This monograph will allow researchers to get acquainted with essentials on inner functions, and it is self-contained, which makes it accessible to graduate students.

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

Présentation de l'éditeur

Inner functions form an important subclass of bounded analytic functions. Since they have unimodular boundary values, they appear in many extremal problems of complex analysis. They have been extensively studied since early last century, and the literature on this topic is vast. Therefore, this book is devoted to a concise study of derivatives of these objects, and confined to treating the integral means of derivatives and presenting a comprehensive list of results on Hardy and Bergman means. The goal is to provide rapid access to the frontiers of research in this field. This monograph will allow researchers to get acquainted with essentials on inner functions, and it is self-contained, which makes it accessible to graduate students.

Revue de presse

From the reviews:

This short monograph presents an account with full proofs of early investigations from around 1970 1980 on derivatives of inner functions ... . the author also revisits Carathéodory s theory on angular derivatives and gives a brief glimpse on Frostman s results on exceptional sets for inner functions. ... It fits well for student seminars. --(Raymond Mortini, Mathematical Reviews, August, 2013)

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Springer
Date d'édition
2012
Langue
anglais
ISBN 10 
146145610X
ISBN 13 
9781461456100
Reliure
Relié
Nombre de pages
180
Coordonnées du fabricant
non disponible
Personne responsable
CMN Printpool Inh. Mathis Neumann
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Friedrich-Karl-Str. 9
Hamburg
Allemagne

Autres éditions populaires du même titre

9781489989413: Derivatives of Inner Functions

Edition présentée

ISBN 10 :  1489989412 ISBN 13 :  9781489989413
Editeur : Springer, 2014
Couverture souple