Functions of a-Bounded Type in the Half-Plane
Información General
- Autores: Armen M. Jerbashian
- Editores: New York : Springer, 2005
- Año de publicación: 2005
- País: Estados Unidos
- Idioma: inglés
- ISBN: 978-0-387-23625-4, 978-0-387-23626-1
- Texto completo no disponible (Saber más ...)
Resumen
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.
Otros catálogos
Índice
Preface.- Intro.- The Liouville Operator.- Blaschke Type Products.- Equilibrium Relations and Factorization.- Meromorphic Functions.- Boundary Values.- Uniform Approximations.- Subharmonic Functions.- Weighted Classes of Subharmonic Functions.- Functions of a-Bounded Type in Spectral Theory.- References.- Index.
