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Artículo
Universal matrix transforms of holomorphic functions
(University of Houston, 2006)
The phenomenon of overconvergence is related with the convergence of subsequences of the sequence of partial sums of Taylor series at points outside their disk of convergence. During the seventies Chui and Parnes and the ...
Artículo
Subspaces of frequently hypercyclic functions for sequences of composition operators.
(Springer, 2019-02)
In this paper, a criterion for a sequence of composition operators defined on the space of holomorphic functions in a complex domain to be frequently hypercyclic is provided. Such a criterion improves some already known ...
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
Universality of sequences of operators related to Taylor series
(Elsevier, 2019-06-01)
In this note, the universality of a sequence of operators associated to the partial sums of the Taylor series of a holomorphic function is investigated. The emphasis is put on the fact that the Taylor series are evaluated ...
Artículo
Operators with dense images everywhere
(Elsevier, 2001-11-01)
In this paper, the authors introduce the dense-image operators T as those with a wild behaviour near of the boundary of a domain G, via certain subsets. The relationship with other kinds of operators with wild behaviour ...
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
Strongly omnipresent operators: general conditions and applications to composition operators
(Cambridge University Press, 2002-06)
This paper studies the concept of strongly omnipresent operators that was recently introduced by the first two authors. An operator T on the space H(G) of holomorphic functions on a complex domain G is called strongly ...