Vector-valued holomorphic functions revisited
β Scribed by Wolfgang Arendt; Nicolai Nikolski
- Publisher
- Springer-Verlag
- Year
- 2005
- Tongue
- French
- Weight
- 113 KB
- Volume
- 252
- Category
- Article
- ISSN
- 0025-5874
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π SIMILAR VOLUMES
We study Hilbert spaces of vector-valued holomorphic sections on tube domains of type II and III. We consider some small representations of the maximal compact subgroups and calculate the norm of each \(K\)-type in the Hilbert spaces. As a consequence we get composition series of the analytic contin
## Abstract In this paper we consider extensions of bounded vectorβvalued holomorphic (or harmonic or pluriharmonic) functions defined on subsets of an open set Ξ© β β^__N__^ . The results are based on the description of vectorβvalued functions as operators. As an application we prove a vectorβvalue