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portada Functions of A-Bounded Type in the Half-Plane
Type
Physical Book
Author
Publisher
Language
English
Pages
196
Format
Paperback
Dimensions
23.4 x 15.6 x 1.1 cm
Weight
0.30 kg.
ISBN13
9781489999894
Categories

Functions of A-Bounded Type in the Half-Plane

A. M. Jerbashian (Author) · Springer · Paperback

Functions of A-Bounded Type in the Half-Plane - Jerbashian, A. M.

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Synopsis "Functions of A-Bounded Type in the Half-Plane"

This book is related to the theory of functions of a-bounded type in the ha- plane of the complex plane. I constructed this theory by application of the Li- ville integro-differentiation. To some extent, it is similar to M.M.Djrbashian's factorization theory of the classes Na of functions of a-bounded type in the disc, as much as the well known results on different classes and spaces of regular functions in the half-plane are similar to those in the disc. Besides, 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 author's united work with G.M. Gubreev (Odessa). It gives an application of both a-theories in the disc and in the half-plane 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. 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 young researchers and qualified specialists in the field.

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