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Functions of A-Bounded Type in the Half-Plane : Advances in Complex Analysis and Its Applications - Armen M. Jerbashian

Functions of A-Bounded Type in the Half-Plane

Advances in Complex Analysis and Its Applications

Hardcover Published: 1st January 2005
ISBN: 9780387236254
Number Of Pages: 196

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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.Djrbashiana (TM)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.

Preface
Intro
The Liouville Operator
Blaschke Type Products
Equilibrium Relations and Factorization
Meromorphic Functions
Boundary Values
Uniform Approximations
Subharmonic Functions
Weighted Classes of Subharmonic Functions
Functions of a-Bounded Type in Spectral Theory
References
Index
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780387236254
ISBN-10: 0387236252
Series: Advances in Complex Analysis and Its Applications
Audience: General
Format: Hardcover
Language: English
Number Of Pages: 196
Published: 1st January 2005
Publisher: Springer-Verlag New York Inc.
Country of Publication: US
Dimensions (cm): 23.39 x 15.6  x 1.42
Weight (kg): 0.48

Earn 426 Qantas Points
on this Book