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Analytic functions and manifolds in infinite dimensional spaces /
Analytic functions and manifolds in infinite dimensional spaces.
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Amsterdam : New York :
North Holland Pub. Co. ; American Elsevier Pub. Co.,
1974.
|
| Colección: | North-Holland mathematics studies ;
11. Notas de matem�atica (Rio de Janeiro, Brazil) ; no. 52. |
| Temas: | |
| Acceso en línea: | Texto completo Texto completo Texto completo |
Tabla de Contenidos:
- Front Cover; Analytic Functions and Manifolds in Infinite Dimensional Spaces; Copyright Page; Contents; Chapter I. Spread manifolds; 1. Morphisms; 2. Maximal extensions; 3. Separation properties; 4. Univalent extensions; Chapter II. Natural Frechet spaces; Chapter III. Analytic mappings; 1. Basic properties; 2. Remarks about analytic extensions; Chapter IV. Frechet spaces of complex analytic mappings; 1. Strong invariance by derivation; 2. A general type of strongly invariant by derivation Frechet spaces; 3. Analytic extensions
- 4. Characterisation of maximal analytic extensionsChapter V. Holomorphic convexity; 1. Bishop's lemmas; 2. Holomorphic convexity; Chapter VI. Spectrum and maximal extensions; 1. Manifold structure and spectrum; 2. Topological spectrum and maximal extensions; 3. A particular case : DI; Chapter VII. Extension of vector valued analytic mappings; 1. Vector valued extensions; 2. Zorn's theorems; 3. Functorial properties; 4. Extension of products; Chapter VIII. Polynomial approximation; 1. Hilbertian operators; 2. A H�ormander's result; 3. Runge theorems; Index