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)
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The Liouville Operator and Herglotz-Riesz Type Theorems
Pages 1-20
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Blaschke Type Products
Pages 21-44
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Equilibrium Relations and Factorizations
Pages 45-76
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Meromorphic Functions with Summable Tsuji Characteristics
Pages 77-100
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Boundary Values
Pages 101-120
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Table of contents (9 chapters)
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Bibliographic Information
- Bibliographic Information
-
- Book Title
- Functions of a-Bounded Type in the Half-Plane
- Authors
-
- A.M. Jerbashian
- 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
