Functions of a-Bounded Type in the Half-Plane
(Sprache: Englisch)
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...
In addition, the book contains improvements of several...
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Klappentext zu „Functions of a-Bounded Type in the Half-Plane “
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.
Inhaltsverzeichnis zu „Functions of a-Bounded Type in the Half-Plane “
- 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.
Bibliographische Angaben
- Autor: A. M. Jerbashian
- 2005, 196 Seiten, 4 Schwarz-Weiss-Abbildungen, Masse: 16,7 x 24,5 cm, Gebunden, Englisch
- Verlag: Springer
- ISBN-10: 0387236252
- ISBN-13: 9780387236254
- Erscheinungsdatum: 10.01.2005
Sprache:
Englisch
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