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Browsing by Author "Calderón Moreno, María del Carmen"
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Article
A dynamical characterization of subArakelian subsets
Calderón Moreno, María del Carmen; Prado Bassas, José Antonio (Elsevier, 20130915)We are going to characterize those sets which can be covered by an Arakelian set in terms of dynamical properties of entire ...

Article
A SeidelWalsh theorem with linear differential operators
Bernal González, Luis; Calderón Moreno, María del Carmen (Springer, 199905)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 ...

Article
Algebraic structure of continuous, unbounded and integrable functions
Calderón Moreno, María del Carmen; Gerlach Mena, Pablo José; Prado Bassas, José Antonio (Elsevier, 201902)In this paper we study the large linear and algebraic size of the family of unbounded continuous and integrable functions ...

Final Degree Project
Aproximación en variable compleja
Prado Rodríguez, Ana María (201609)In the late Nineteenth Century, Weierstrass showed that any continuous real function in a compact can be uniformly ...

Article
Boundarychaotic behaviour of continuous functions under the action of operators
Bernal González, Luis; Calderón Moreno, María del Carmen (Cambridge University Press, 200306)In this paper we introduce two classes of operators on spaces of continuous functions with values in Fspaces under the ...

PhD Thesis
Ciclicidad de coeficientes multiplicadores y subespacios de funciones universales
Prado Bassas, José Antonio (2004) 
Article
Compositional hypercyclicity equals supercyclicity
Bernal González, Luis; Bonilla Ramírez, Antonio Lorenzo; Calderón Moreno, María del Carmen (University of Houston, 2007)In this note it is proved that the sequence of composition operators generated by automorphisms of a simply connected ...

Article
Compositional universality in the Ndimensional ball
Bernal González, Luis; Bonilla Ramírez, Antonio Lorenzo; Calderón Moreno, María del Carmen (De Gruyter, 200705)It is proved in this note that a sequence of automorphisms on the Ndimensional unit ball acts properly discontinuously ...

Article
Cyclicity of coefficient multipliers: Linear structure
Bernal González, Luis; Calderón Moreno, María del Carmen; Prado Bassas, José Antonio (Springer, 200703)In this paper we characterize various kinds of cyclicity of sequences of coefficient multipliers, which are operators ...

Article
Dense linear manifolds of monsters
Bernal González, Luis; Calderón Moreno, María del Carmen (Elsevier, 200212)In this paper the new concept of totally omnipresent operators is introduced. These operators act on the space of holomorphic ...

Article
Denselineability of sets of Birkhoffuniversal functions with rapid decay
Bernal González, Luis; Calderón Moreno, María del Carmen; Luh, Wolfgang (Elsevier, 20100301)Let A be an unbounded Arakelian set in the complex plane whose complement has infinite inscribed radius, and ψ be an ...

Final Degree Project
Familias y espacios de funciones holomorfas en regiones del plano
Bernal Torres, Luis Agustín (20200601)In this work we focus our attention on a collection of function spaces whose analysis is not deepened usually during the ...

Article
Holomorphic operators generating dense images
Bernal González, Luis; Calderón Moreno, María del Carmen; Prado Bassas, José Antonio (Springer, 200801)The existence of infinite dimensional closed linear spaces of holomorphic functions f on a domain G in the complex plane ...

Article
Holomorphic Tmonsters and strongly omnipresent operators
Bernal González, Luis; Calderón Moreno, María del Carmen (Elsevier, 200006)Assume that G is a nonempty open subset of the complex plane and that T is an operator on the linear space of holomorphic ...

Article
Hypercyclic algebras for Dmultiples of convolution operators
Bernal González, Luis; Calderón Moreno, María del Carmen (American Mathematical Society, 201902)It is shown in this short note the existence, for each nonzero member of the ideal of Dmultiples of convolution operators acting on the space of entire functions, of a scalar multiple of it supporting a hypercyclic algebra.

Article
Infinite dimensional holomorphic nonextendability and algebraic genericity
Bernal González, Luis; Calderón Moreno, María del Carmen; Seoane Sepúlveda, Juan Benigno (Elsevier, 20170115)In this note, the linear structure of the family He(G) of holomorphic functions in a domain G of a complex Banach space ...

Article
Lacunary noncontinuable boundaryregular holomorphic functions with universal properties
Bernal González, Luis; Calderón Moreno, María del Carmen; Luh, Wolfgang (National Academy of Sciences of the Republic of Armenia, 2006)A holomorphic function in a Jordan domain G in the complex plane is constructed with all its derivatives extending ...

Article
Large algebras of singular functions vanishing on prescribed sets
Bernal González, Luis; Calderón Moreno, María del Carmen (Springer, 20160621)In this paper, the nonvacuousness of the family of all nowhere analytic infinitely differentiable functions on the real ...

Article
Large linear manifolds of noncontinuable boundaryregular holomorphic functions
Bernal González, Luis; Calderón Moreno, María del Carmen; Luh, Wolfgang (Elsevier, 20080501)We prove in this paper that if G is a domain in the complex plane satisfying adequate topological or geometrical conditions ...

Article
Large subspaces of compositionally universal functions with maximal cluster sets
Bernal González, Luis; Calderón Moreno, María del Carmen; Prado Bassas, José Antonio (Elsevier, 201202)Let (φn) be a sequence of holomorphic selfmaps of a Jordan domain G in the complex plane. Under appropriate conditions ...