Functions of a-Bounded Type in the Half-Plane

by

Subject categories
ISBNs
  • 0387236260
  • 9780387236254
  • 9780387236261
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.
  • Springer US; June 2006
  • ISBN 9780387236261
  • Read online, or download in secure PDF format
  • Title: Functions of a-Bounded Type in the Half-Plane
  • Author: A.M. Jerbashian
  • Imprint: Springer
Subject categories
ISBNs
  • 0387236260
  • 9780387236254
  • 9780387236261
Subject categories
ISBNs
  • 0387236260
  • 9780387236254
  • 9780387236261