Functions of α-Bounded Type in the Half-Plane

  • Armen M. Jerbashian

Part of the Advances in Complex Analysis and Its Applications book series (ACAA, volume 4)

About this book

Introduction

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.

Keywords

Meromorphic function Nevanlinna theory differential operator operator spectral theory

Authors and affiliations

  • Armen M. Jerbashian
    • 1
  1. 1.Institute of MathematicsNational Academy of SciencesArmenia

Bibliographic information

  • DOI https://doi.org/10.1007/b102102
  • Copyright Information Springer Science+Business Media, Inc. 2005
  • Publisher Name Springer, Boston, MA
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-0-387-23625-4
  • Online ISBN 978-0-387-23626-1
  • About this book