Functions of A-Bounded Type in the Half-Plane

Front Cover
Springer Science & Business Media, 2005 - Mathematics - 196 pages
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.
 

What people are saying - Write a review

We haven't found any reviews in the usual places.

Contents

III
1
IV
14
V
17
VI
21
VIII
25
IX
33
X
39
XI
45
XXI
121
XXII
123
XXIII
129
XXIV
134
XXV
141
XXVI
147
XXVII
152
XXVIII
155

XII
55
XIII
65
XIV
77
XV
82
XVI
90
XVII
101
XIX
103
XX
112
XXIX
159
XXX
171
XXXI
177
XXXII
183
XXXIII
189
XXXIV
195
Copyright

Other editions - View all

Common terms and phrases

Bibliographic information