UID:
almahu_9947367581702882
Umfang:
1 online resource (91 p.)
ISBN:
1-281-77338-7
,
9786611773380
,
0-08-087122-4
Serie:
North-Holland mathematics studies ; 11
Inhalt:
Analytic functions and manifolds in infinite dimensional spaces
Anmerkung:
Description based upon print version of record.
,
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
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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 Hörmander's result; 3. Runge theorems; Index
,
Bibliography
,
English
Weitere Ausg.:
ISBN 0-444-10621-9
Sprache:
Englisch
