Functions of a-Bounded Type in the Half-Plane / Edition 1

Functions of a-Bounded Type in the Half-Plane / Edition 1

by A.M. Jerbashian, A. M. Jerbashian
     
 

ISBN-10: 0387236252

ISBN-13: 9780387236254

Pub. Date: 01/10/2005

Publisher: Springer US

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

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Overview

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.

Product Details

ISBN-13:
9780387236254
Publisher:
Springer US
Publication date:
01/10/2005
Series:
Advances in Complex Analysis and Its Applications Series, #4
Edition description:
2005
Pages:
196
Product dimensions:
9.21(w) x 6.14(h) x 0.56(d)

Table of Contents

The Liouville Operator and Herglotz-Riesz Type Theorems.- Blaschke Type Products.- Equilibrium Relations and Factorizations.- Meromorphic Functions with Summable Tsuji Characteristics.- Boundary Values.- Uniform Approximations.- Subharmonic Functions with Nonnegative Harmonic Majorants.- Weighted Classes of Subharmonic Functions.- Functions of—-Bounded Type in Spectral Theory of Non-Weak Contractions.

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