[share_ebook] Functions of a-Bounded Type in the Half-Plane (Advances in Complex Analysis and Its Applications)


Author: A.M. Jerbashian

Date: 2011-01-11

Pages: 212

Publisher: Springer

Category: Study

Tag: Mathematics


Posted on 2011-11-11, by sharebookfree.

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Functions of a-Bounded Type in the Half-Plane (Advances in Complex Analysis and Its Applications)


Functions of a-Bounded Type in the Half-Plane (Advances in Complex Analysis and Its Applications)
A.M. Jerbashian | Springer | 2011-01-11 | 212 pages | English | PDF

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.


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