Fields Institute Monographs

Derivatives of Inner Functions

Authors: Mashreghi, Javad

  • Includes a comprehensive list of results on integral means taken from several research papers
  • Text is concise and self-contained, making it easily accessible to graduate students
  • Provides rapid access to the frontiers of research in this field
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  • ISBN 978-1-4614-5611-7
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Hardcover $129.00
price for USA
valid through November 5, 2017
  • ISBN 978-1-4614-5610-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $129.00
price for USA
valid through November 5, 2017
  • ISBN 978-1-4899-8941-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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About this book

​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.

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 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)

Table of contents (10 chapters)

Buy this book

eBook $99.00
price for USA (gross)
  • ISBN 978-1-4614-5611-7
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $129.00
price for USA
valid through November 5, 2017
  • ISBN 978-1-4614-5610-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $129.00
price for USA
valid through November 5, 2017
  • ISBN 978-1-4899-8941-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the eBook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Derivatives of Inner Functions
Authors
Series Title
Fields Institute Monographs
Series Volume
31
Copyright
2013
Publisher
Springer-Verlag New York
Copyright Holder
Springer Science+Business Media New York
eBook ISBN
978-1-4614-5611-7
DOI
10.1007/978-1-4614-5611-7
Hardcover ISBN
978-1-4614-5610-0
Softcover ISBN
978-1-4899-8941-3
Series ISSN
1069-5273
Edition Number
1
Number of Pages
X, 170
Topics