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Artículo
A lot of “counterexamples” to Liouville's theorem
(Elsevier, 1996-08-01)
We prove in this paper that, given α ∈ (0, 1/2), there exists a linear manifold M of entire functions satisfying that M is dense in the space of all entire functions and, in addition, limz→∞ exp(|z|α) f(j)(z) = 0 on any ...
Artículo
Universal functions for taylor shifts
(Taylor & Francis, 1996)
In this paper a new sort of operators, the Taylor shifts, is introduced. They appear as a generalization of weighted backward shifts on the spaces of entire functions and of holomorphic functions in the unit disk. Necessary ...