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Mostrando ítems 11-17 de 17
Artículo
Anti M-Weierstrass function sequences
(Elsevier, 2020-11-01)
Large algebraic structures are found inside the space of sequences of continuous functions on a compact interval having the property that, the series defined by each sequence converges absolutely and uniformly on the ...
Artículo
Universal Taylor series with maximal cluster sets
(Consejo Superior de Investigaciones Científicas, 2009-06)
We link the overconvergence properties of certain Taylor series in the unit disk to the maximality of their cluster sets, so connecting outer wild behavior to inner wild behavior. Specifically, it is proved the existence ...
Tesis Doctoral
Artículo
Holomorphic operators generating dense images
(Springer, 2008-01)
The existence of infinite dimensional closed linear spaces of holomorphic functions f on a domain G in the complex plane such that T f has dense images on certain subsets of G, where T is a continuous linear operator, is ...
Artículo
Simultaneously maximal radial cluster sets
(Elsevier, 2005-07)
In this paper, we show that for a wide class of operators T –including infi- nite order differential operators, and multiplication and composition operators– acting on the space H(D) of holomorphic functions in the unit ...
Artículo
A dynamical characterization of sub-Arakelian subsets
(Elsevier, 2013-09-15)
We are going to characterize those sets which can be covered by an Arakelian set in terms of dynamical properties of entire functions via similarities. Moreover, if we consider the set of universal entire functions via ...
Artículo
Large subspaces of compositionally universal functions with maximal cluster sets
(Elsevier, 2012-02)
Let (φn) be a sequence of holomorphic self-maps of a Jordan domain G in the complex plane. Under appropriate conditions on (φn), we construct an H(G)-dense linear manifold –as well as a closed infinite-dimensional ...