Weakly and separately holomorphic functions on compact determining polydiscs in (DFN)-spaces
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Publication:371884
DOI10.1007/s11785-011-0194-6zbMath1275.32002OpenAlexW1983589422MaRDI QIDQ371884
Publication date: 10 October 2013
Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11785-011-0194-6
Infinite-dimensional holomorphy (46G20) Locally convex Fréchet spaces and (DF)-spaces (46A04) Spaces of differentiable or holomorphic functions on infinite-dimensional spaces (46E50) Topological invariants ((DN), ((Omega)), etc.) for locally convex spaces (46A63) Holomorphic functions of several complex variables (32A10)
Cites Work
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- On \(\sigma(\cdot, W)\)-holomorphic functions and theorems of Vitali-type
- On two classes of (F)-spaces
- Structure of spaces of germs of holomorphic functions
- Weak holomorphic extension of Fréchet-valued functions form compact subsets of \(\mathbb{C}^n\)
- Eine Charakterisierung der Potenzreihenraeume von endlichem Typ und ihre Folgerungen
- Holomorphic maps of uniform type between DF-spaces and the exponential representation
- Charakterisierung der Unterraüme eines nuklearen stabilen Potenzreihenraumes von endlichen Typ
- Frécheträume, zwischen denen jede stetige lineare Abbildung beschränkt ist.
- Holomorphic functions on fully nuclear spaces
- Some characterizations of the properties (DN) and ($\tilde\Omega$)
- Extending holomorphic maps from compact sets in infinite dimensions
- The regularity of the space of germs of Fréchet valued holomorphic functions and the mixed Hartog's theorem