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Artículo
Interpolation by tamed entire functions
(Bulgarian Academy of Sciences, 2006)
In this note it is constructed an entire function that interpolates a prescribed pair of sequences in the complex plane, and with the property that its values are controlled in some sense on a given compact subset by those ...
Artículo
Order of growth of distributional irregular entire functions for the differentiation operator
(Taylor & Francis, 2016)
We study the rate of growth of entire functions that are distributionally irregular for the differentiation operator D. More specifically, given p ∈ [1,∞] and b ∈ (0, a), where a = 1 / 2 max{2, p}, we prove that there ...
Artículo
Exponential type of hypercyclic entire functions
(Springer, 2002-04)
In this paper the exponential type of hypercyclic entire functions with respect to a sequence (Φn(D)) of differential operators is considered, where every Φn is an entire function of exponential type. We prove that under ...
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 ...
Artículo
Rate of growth of hypercyclic and frequently hypercyclic functions for the Dunkl operator
(Springer, 2016)
For the Dunkl operator Λα (α > −1/2) on the space of entire functions on the complex space C, the critical rate of growth for the integral means Mp(f, r) of their hypercyclic functions f is obtained. The rate of growth of ...