| 书目名称 | Functions of a-Bounded Type in the Half-Plane |
| 编辑 | Armen M. Jerbashian |
| 视频video | |
| 概述 | Suitable for a wide range of readers, which is uncommon in Math books.Includes supplementary material: |
| 丛书名称 | Advances in Complex Analysis and Its Applications |
| 图书封面 |  |
| 描述 | 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 s |
| 出版日期 | Book 2005 |
| 关键词 | Meromorphic function; Nevanlinna theory; differential operator; operator; spectral theory |
| 版次 | 1 |
| doi | https://doi.org/10.1007/b102102 |
| isbn_softcover | 978-1-4899-9989-4 |
| isbn_ebook | 978-0-387-23626-1 |
| copyright | Springer-Verlag US 2005 |
发表于 2025-3-21 18:06:00
