Derivatives of Inner Functions (Fields Institute Monographs, 31) - Softcover

Mashreghi, Javad

 
9781489989413: Derivatives of Inner Functions (Fields Institute Monographs, 31)

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.

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From the Back Cover

Derivatives of Inner Functions was inspired by a conference held at the Fields Institute in 2011 entitled "Blaschke Products and Their Applications." 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 the early twentieth century and the literature on this topic is vast. This book is devoted to a concise study of derivatives of inner functions and is confined to treating the integral means of derivatives and presenting a comprehensive list of results on Hardy and Bergman means.

This self-contained monograph allows researchers to get acquainted with the essentials of inner functions, rendering this theory accessible to graduate students while providing the reader with rapid access to the frontiers of research in this field.

"About this title" may belong to another edition of this title.

Other Popular Editions of the Same Title

9781461456100: Derivatives of Inner Functions (Fields Institute Monographs, 31)

Featured Edition

ISBN 10:  146145610X ISBN 13:  9781461456100
Publisher: Springer, 2012
Hardcover