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Tesis Doctoral
Funciones universales para operadores de composición en superficies de Riemann
(1994)
"Esta memoria está dividida en cuatro capítulos. En el Capítulo cero de preliminares introducimos la notación y recordamos los elementos necesarios que utilizaremos más tarde en el resto de este trabajo. De este capítulo ...
Artículo
Holomorphic functions having large images under the action of differential operators
(Elsevier, 1999-02-15)
We prove in this note that, given a simply connected domain G in the complex plane and a sequence of infinite order linear differential operators generated by entire functions of subexponential type satisfying suitable ...
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
On universal entire functions with zero-free derivatives
(Springer, 1997-04)
We prove in this note a generalization of a theorem due to G. Herzog on zero-free universal entire functions. Specifically, it is shown that, if a nonnegative integer q and a nonconstant entire function Φ of subexponential ...
Artículo
Small entire functions with extremely fast growth
(Elsevier, 1997-03-15)
We prove in this note 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 such that limz→∞ exp(|z|α)f(j)(z) = 0 on any plane strip ...
Artículo
Hypercyclic sequences of differential and antidifferential operators
(Elsevier, 1999-02)
In this paper, we provide some extensions of earlier results about hypercyclicity of some operators on the Fréchet space of entire functions of several complex variables. Specifically, we generalize in several directions ...
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
A Seidel-Walsh theorem with linear differential operators
(Springer, 1999-05)
Assume that {Sn}∞1 is a sequence of automorphisms of the open unit disk D and that {Tn}∞1 is a sequence of linear differential operators with constant coefficients, both of them satisfying suitable conditions. We prove ...