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Derivatives of Inner Functions

Derivatives of Inner Functions

Hardcover

Series: Fields Institute Monographs, Book 31

CalculusGeneral Mathematics

ISBN10: 146145610X
ISBN13: 9781461456100
Publisher: Springer Nature
Published: Nov 14 2012
Pages: 170
Weight: 0.95
Height: 0.44 Width: 6.14 Depth: 9.21
Language: English
​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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General Mathematics