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The space H ( E ) \mathcal {H}(E) of holomorphic functions on a quasi-complete nuclear space is investigated. If H ( E ) \mathcal {H}(E) is endowed with the compact open topology, it is shown that H ( E ) \mathcal {H}(E) is nuclear if and only if E ′ E’ (continuous dual of E E ) is nuclear. If E E is a D F N \mathcal {D}FN (dual of a Fréchet nuclear space) and F F is a closed subspace of E E , then the restriction mapping H ( E ) → H ( F ) \mathcal {H}(E) \to \mathcal {H}(F) is a surjective strict morphism.
Other ``topological'' linear spaces (convergence spaces, ranked spaces, spaces with a metric taking values in an ordered structure more general than \(\mathbb{R}\), etc.), Measures, integration, derivative, holomorphy (all involving infinite-dimensional spaces), Topological linear spaces of continuous, differentiable or analytic functions, Other generalizations of function theory of one complex variable
Other ``topological'' linear spaces (convergence spaces, ranked spaces, spaces with a metric taking values in an ordered structure more general than \(\mathbb{R}\), etc.), Measures, integration, derivative, holomorphy (all involving infinite-dimensional spaces), Topological linear spaces of continuous, differentiable or analytic functions, Other generalizations of function theory of one complex variable
citations This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | 41 | |
popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network. | Average | |
influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | Top 10% | |
impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network. | Top 10% |