| Description |
1 online resource (xvi, 196 pages) : illustrations |
| Series |
Advances in complex analysis and its applications ; v. 4 |
|
Advances in complex analysis and its applications ; v. 4.
|
| Contents |
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 |
| Summary |
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 |
| Bibliography |
Includes bibliographical references (pages 189-194) and index |
| Notes |
English |
| In |
Springer e-books |
| Subject |
Complexes.
|
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Boundary value problems -- Numerical solutions.
|
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MATHEMATICS -- Complex Analysis.
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Operator theory.
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Mathematics.
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Functions of a Complex Variable.
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Functions of complex variables.
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Complejos (Matemáticas)
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Problemas con valor límite -- Soluciones numéricas
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Boundary value problems -- Numerical solutions
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Complexes
|
| Form |
Electronic book
|
| ISBN |
0387236252 |
|
9780387236254 |
|
0387236260 |
|
9780387236261 |
|
6610189994 |
|
9786610189991 |
|
1280189991 |
|
9781280189999 |
|
