Advances in Complex Analysis and Its Applications
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Functions of a-Bounded Type in the Half-Plane

Authors: Jerbashian, A.M.

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About this book

This is a unique book related to the theory of functions of a-bounded type in the half-plane of the complex plane, which is constructed by application of the Liouville integro-differential operator.

In addition, the book contains improvements of several results such as the Phragmen-Lindelof Principle and Nevanlinna Factorization in the Half-Plane, and offers a new, equivalent definition of the classical Hardy spaces in the half-plane.

The last chapter of the book presents an application of the constructed theory as well as M.M.Djrbashian’s theory of Nevanlinna type classes in the disc in the spectral theory of linear operators. This is a solution of a problem repeatedly stated by M.G.Krein and being of special interest for a long time.

Audience

The book is proposed for a wide range of readers. Some of its parts are comprehensible for graduate students, while the book in the whole is intended for new researchers and qualified specialists in the field.

Table of contents (9 chapters)

Table of contents (9 chapters)
  • The Liouville Operator and Herglotz-Riesz Type Theorems

    Pages 1-20

  • Blaschke Type Products

    Pages 21-44

  • Equilibrium Relations and Factorizations

    Pages 45-76

  • Meromorphic Functions with Summable Tsuji Characteristics

    Pages 77-100

  • Boundary Values

    Pages 101-120

Buy this book

eBook  
  • ISBN 978-0-387-23626-1
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
Hardcover  
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Bibliographic Information

Bibliographic Information
Book Title
Functions of a-Bounded Type in the Half-Plane
Authors
Series Title
Advances in Complex Analysis and Its Applications
Series Volume
4
Copyright
2005
Publisher
Springer US
Copyright Holder
Springer-Verlag US
eBook ISBN
978-0-387-23626-1
DOI
10.1007/b102102
Hardcover ISBN
978-0-387-23625-4
Softcover ISBN
978-1-4899-9989-4
Edition Number
1
Number of Pages
XVI, 196
Topics