Derivatives of Inner Functions
Author:   Javad Mashreghi
Publisher:   Springer-Verlag New York Inc.
Edition:   2013 ed.
Volume:   31
ISBN:  

9781461456100


Pages:   170
Publication Date:   14 November 2012
Format:   Hardback
Availability:   Manufactured on demand   Availability explained
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Derivatives of Inner Functions


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Overview

​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.

Full Product Details

Author:   Javad Mashreghi
Publisher:   Springer-Verlag New York Inc.
Imprint:   Springer-Verlag New York Inc.
Edition:   2013 ed.
Volume:   31
Dimensions:   Width: 15.50cm , Height: 1.10cm , Length: 23.50cm
Weight:   3.967kg
ISBN:  

9781461456100


ISBN 10:   146145610
Pages:   170
Publication Date:   14 November 2012
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.
Language:   English

Table of Contents

​.-Preface.-1. Inner Functions.-2. The Exceptional Set of an Inner Function.-3. The Derivative of Finite Blaschke Products.-4. Angular Derivative.-5. Hp-Means of S'.-6. Bp-Means of S'.-7. The Derivative of a Blaschke Product.-8. Hp-Means of B'.-9. Bp-Means of B'.-10. The Growth of Integral Means of B'.-References.-Index.

Reviews

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 Caratheodory'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)


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 Caratheodory'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)


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 Caratheodory'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)


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