Holomorphic functions and surjective limits.- Bounded symmetric homogeneous domains in infinite dimensional spaces.- Lindel¿f's principle in infinite dimensions.- Plurisubharmonic functions in topological vector spaces: Polar sets and problems of measure.- A glimpse at infinite dimensional holomorphy.- Holomorphic extensions and domains of holomorphy for general function algebras.- Weak analytic continuation from compact subsets of Cn.- Weak analytic functions and the closed graph theorem.- The holomorphic functional calculus and infinite dimensional holomorphy.- The spectrum as envelope of holomorphy of a domain over an arbitrary product of complex lines.- On bounded sets of holomorphic mappings.- Malgrange theorem for entire functions on nuclear spaces.- On some various notions of infinite dimensional holomorphy.- Approximation and homotopy properties for holomorphic extension in ?2.- On the weierstrass problem in Banach spaces.- A counterexample in the Levi problem.- Approximation of holomorphic or plurisubharmonic functions in certain banach spaces.- Some recent results and open problems in infinite dimensional analytic geometry.- Biemann domains: Basic results and open problems.
| Serija: | Lecture Notes in Mathematics |
| Leidėjas: | Springer Berlin Heidelberg |
| Išleidimo metai: | 1974 |
| Knygos puslapių skaičius: | 224 |
| ISBN-10: | 3540066195 |
| ISBN-13: | 9783540066194 |
| Formatas: | Knyga minkštu viršeliu |
| Kalba: | Anglų |
| Žanras: | Topology |
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