Analytic functions and manifolds in infinite dimensional spaces /

Analytic functions and manifolds in infinite dimensional spaces.

Détails bibliographiques
Cote:Libro Electrónico
Auteur principal: Coeur�e, Gerard
Format: Électronique eBook
Langue:Inglés
Publié: Amsterdam : New York : North Holland Pub. Co. ; American Elsevier Pub. Co., 1974.
Collection:North-Holland mathematics studies ; 11.
Notas de matem�atica (Rio de Janeiro, Brazil) ; no. 52.
Sujets:
Analytic functions.
Manifolds (Mathematics)
Generalized spaces.
Espaces g�en�eralis�es.
Fonctions analytiques.
Vari�et�es (Math�ematiques)
Generalized spaces
Analytic functions
Accès en ligne:Texto completo
Texto completo
Texto completo
Table des matières:
  • 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

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