| Titre : | Complex analysis on infinite dimensional spaces |
| Auteurs : | Sean Dineen |
| Type de document : | texte imprimé |
| Editeur : | London : Springer-Verlag, 1999 |
| Collection : | Springer monographs in mathematics |
| ISBN/ISSN/EAN : | 978-1-85233-158-0 |
| Format : | 1 vol. (XV-543 p.) / 24 cm |
| Langues originales: | |
| Index. décimale : | 515.98 (Catégories particulières de fonctions de variables complexes) |
| Catégories : | |
| Mots-clés: | Fonctions holomorphes Espaces topologiques linéaires Fonctions de variables complexes |
| Résumé : |
This book considers basic questions connected with, and arising from, the locally convex space structures that may be placed on the space of holomorphic functions over a locally convex space. The first three chapters introduce the basic properties of polynomials and holomorphic functions over locally convex spaces. These are followed by two chapters concentrating on relationships between the compact open topology, the ported or Nachbin topology and the topology generated by the countable open covers. The concluding chapter examines the interplay between the various concepts introduced earlier as being intrinsic to infinite dimensional holomorphy. The comprehensive notes, historical background, exercises, appendix and bibliography make this book an invaluable reference whilst the presentation and synthesis of ideas from different areas will appeal to mathematicians from many different backgrounds. |
| Note de contenu : |
Sommaire: - Polynomials. - Duality Theory for Polynomials. - Holomorphic Mappings Between Locally Convex Spaces . - Decompositions of Holomorphic Functions . - Riemann Domains . - Holomorphic Extensions. |
| Côte titre : |
S8/58356-58357 |
Exemplaires (2)
| Cote | Support | Localisation | Disponibilité |
|---|---|---|---|
| S8/58356 | Livre | Bibliothèque centrale | Disponible |
| S8/58357 | Livre | Bibliothèque centrale | Disponible |
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