Functions of a-Bounded Type in the Half-Plane: 4 (Advances in Complex Analysis and Its Applications) - Tapa dura

Jerbashian, A.M.

 
9780387236254: Functions of a-Bounded Type in the Half-Plane: 4 (Advances in Complex Analysis and Its Applications)
Tapa dura
ISBN 10: 0387236252 ISBN 13: 9780387236254
Editorial: Springer, 2005

Sinopsis

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.

"Sinopsis" puede pertenecer a otra edición de este libro.

De la contraportada

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.

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
Springer
Año de publicación
2005
Idioma
Inglés
ISBN 10 
0387236252
ISBN 13 
9780387236254
Encuadernación
Tapa dura
Número de páginas
216
Contacto del fabricante
no disponible
Persona responsable
CMN Printpool Inh. Mathis Neumann
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Hamburg
Alemania

Otras ediciones populares con el mismo título

9781489999894: Functions of a-Bounded Type in the Half-Plane: 4 (Advances in Complex Analysis and Its Applications)

Edición Destacada

ISBN 10:  1489999892 ISBN 13:  9781489999894
Editorial: Springer, 2014
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