9781489999894 - functions of a-bounded type in the half-plane (advances in complex analysis and its applications, band 4) von jerbashian, a.m. m. (3 Ergebnisse)

Functions of a-Bounded Type in the Half-Plane (Advances in Complex Analysis and Its Applications, 4)
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Taschenbuch. Zustand: Neu. Functions of a-Bounded Type in the Half-Plane | A. M. Jerbashian | Taschenbuch | Advances in Complex Analysis and Its Applications | xvi | Englisch | 2014 | Springer | EAN 9781489999894 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[…at]springer[dot]com | Anbieter: preigu.

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Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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 factorizatio…n 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.