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Harmonic approximation /
The subject of harmonic approximation has recently matured into a coherent research area with extensive applications. This is the first book to give a systematic account of these developments, beginning with classical results concerning uniform approximation on compact sets, and progressing through...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge ; New York, NY, USA :
Cambridge University Press,
1995.
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| Colección: | London Mathematical Society lecture note series ;
221. |
| Temas: | |
| Acceso en línea: | Texto completo |
| Sumario: | The subject of harmonic approximation has recently matured into a coherent research area with extensive applications. This is the first book to give a systematic account of these developments, beginning with classical results concerning uniform approximation on compact sets, and progressing through fusion techniques to deal with approximation on unbounded sets. All the time inspiration is drawn from holomorphic results such as the well-known theorems of Runge and Mergelyan. The final two chapters deal with wide-ranging and surprising applications to the Dirichlet problem, maximum principle, Radon transform and the construction of pathological harmonic functions. This book is aimed at graduate students and researchers who have some knowledge of subharmonic functions, or an interest in holomorphic approximation. |
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| Descripción Física: | 1 online resource (xiii, 132 pages) : illustrations |
| Bibliografía: | Includes bibliographical references (pages 125-129) and index. |
| ISBN: | 9781107362222 1107362229 9780511893087 0511893086 |