Add to ORKGIn this note, the existence of translation-universal entire functions which are bounded on certain closed subsets is characterized in terms of topological and geometrical properties of such subsets. Corresponding results are also stated in the space of holomorphic functions on the unit disk and in the space of harmonic functions on the plane. Moreover, it is shown the existence of entire functions which are bounded on many rays and, simultaneously, are universal with respect to a prescribed infinite-order differential operator.Plan Andaluz de Investigación (Junta de Andalucía)Dirección General de Enseñanza Superior (DGES). EspañaMinisterio de Ciencia y Tecnología (MCYT). EspañaEuropean Commission (EC). Fondo Europeo de Desarrollo Regional ...
We prove in this note that, given a simply connected domain G in the complex plane and a sequence of...
Abstract. Let H ∞ be the Banach algebra of all bounded analytic functions in the unit disk D. A func...
We prove in this note a generalization of a theorem due to G. Herzog on zero-free universal entire f...
Necessary/sufficient conditions for a sequence of automorphisms of the complex plane to generate a s...
Let A be an unbounded Arakelian set in the complex plane whose complement has infinite inscribed rad...
Inspired by a statement of W. Luh asserting the existence of entire functions having together with a...
AbstractIn this paper we study the universal behaviour of multipliers on the space H(C) of entire fu...
Plan Andaluz de Investigación (Junta de Andalucía)Ministerio de Educación y CienciaFondo Europeo de ...
AbstractLet O⊂C, O≠C, be an open set with simply connected components. In Theorem 1 we prove the exi...
In this paper the affine endomorphisms of C N which support compositionally universal entire functio...
AbstractLet A be an unbounded Arakelian set in the complex plane whose complement has infinite inscr...
AbstractIn this paper the affine endomorphisms of CN which support compositionally universal entire ...
AbstractWe prove the existence of a function ϕ which is holomorphic exactly in the unit disk D and h...
In this paper a new sort of operators, the Taylor shifts, is introduced. They appear as a generaliza...
AbstractWe prove in this note that, given a simply connected domainGin the complex plane and a seque...
We prove in this note that, given a simply connected domain G in the complex plane and a sequence of...
Abstract. Let H ∞ be the Banach algebra of all bounded analytic functions in the unit disk D. A func...
We prove in this note a generalization of a theorem due to G. Herzog on zero-free universal entire f...
Necessary/sufficient conditions for a sequence of automorphisms of the complex plane to generate a s...
Let A be an unbounded Arakelian set in the complex plane whose complement has infinite inscribed rad...
Inspired by a statement of W. Luh asserting the existence of entire functions having together with a...
AbstractIn this paper we study the universal behaviour of multipliers on the space H(C) of entire fu...
Plan Andaluz de Investigación (Junta de Andalucía)Ministerio de Educación y CienciaFondo Europeo de ...
AbstractLet O⊂C, O≠C, be an open set with simply connected components. In Theorem 1 we prove the exi...
In this paper the affine endomorphisms of C N which support compositionally universal entire functio...
AbstractLet A be an unbounded Arakelian set in the complex plane whose complement has infinite inscr...
AbstractIn this paper the affine endomorphisms of CN which support compositionally universal entire ...
AbstractWe prove the existence of a function ϕ which is holomorphic exactly in the unit disk D and h...
In this paper a new sort of operators, the Taylor shifts, is introduced. They appear as a generaliza...
AbstractWe prove in this note that, given a simply connected domainGin the complex plane and a seque...
We prove in this note that, given a simply connected domain G in the complex plane and a sequence of...
Abstract. Let H ∞ be the Banach algebra of all bounded analytic functions in the unit disk D. A func...
We prove in this note a generalization of a theorem due to G. Herzog on zero-free universal entire f...