Items related to Functions of a-Bounded Type in the Half-Plane: 4 (Advances...
Functions of a-Bounded Type in the Half-Plane: 4 (Advances in Complex Analysis and Its Applications, 4) - Hardcover
Synopsis
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 specialists in the field.
"synopsis" may belong to another edition of this title.
From the Back Cover
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.
"About this title" may belong to another edition of this title.
- PublisherSpringer
- Publication date2005
- ISBN 10 0387236252
- ISBN 13 9780387236254
- BindingHardcover
- LanguageEnglish
- Number of pages212
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Functions of a-Bounded Type in the Half-Plane (Advances in Complex Analysis and Its Applications, 4)
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Functions of a-Bounded Type in the Half-Plane (Advances in Complex Analysis and Its Applications, 4)
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Functions of a-Bounded Type in the Half-Plane
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ISBN 10: 0387236252
ISBN 13: 9780387236254
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Gebunden. Condition: New. Suitable for a wide range of readers, which is uncommon in Math booksThis 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-differentiati. Seller Inventory # 5909272
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