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Browsing by Author "Calderón Moreno, María del Carmen"
Now showing items 1-20 of 44
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Article
A dynamical characterization of sub-Arakelian subsets
Calderón Moreno, María del Carmen; Prado Bassas, José Antonio (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 ...
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Article
A Seidel-Walsh theorem with linear differential operators
Bernal González, Luis; Calderón Moreno, María del Carmen (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 ...
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Article
Algebraic structure of continuous, unbounded and integrable functions
Calderón Moreno, María del Carmen; Gerlach Mena, Pablo José; Prado Bassas, José Antonio (Elsevier, 2019-02)In this paper we study the large linear and algebraic size of the family of unbounded continuous and integrable functions ...
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Final Degree Project
Aproximación en variable compleja
Prado Rodríguez, Ana María (2016-09)In the late Nineteenth Century, Weierstrass showed that any continuous real function in a compact can be uniformly ...
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Article
Boundary-chaotic behaviour of continuous functions under the action of operators
Bernal González, Luis; Calderón Moreno, María del Carmen (Cambridge University Press, 2003-06)In this paper we introduce two classes of operators on spaces of continuous functions with values in F-spaces under the ...
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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 ...
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Article
Compositional universality in the N-dimensional ball
Bernal González, Luis; Bonilla Ramírez, Antonio Lorenzo; Calderón Moreno, María del Carmen (De Gruyter, 2007-05)It is proved in this note that a sequence of automorphisms on the N-dimensional unit ball acts properly discontinuously ...
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Article
Cyclicity of coefficient multipliers: Linear structure
Bernal González, Luis; Calderón Moreno, María del Carmen; Prado Bassas, José Antonio (Springer, 2007-03)In this paper we characterize various kinds of cyclicity of sequences of coefficient multipliers, which are operators ...
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Article
Dense linear manifolds of monsters
Bernal González, Luis; Calderón Moreno, María del Carmen (Elsevier, 2002-12)In this paper the new concept of totally omnipresent operators is introduced. These operators act on the space of holomorphic ...
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Article
Dense-lineability of sets of Birkhoff-universal functions with rapid decay
Bernal González, Luis; Calderón Moreno, María del Carmen; Luh, Wolfgang (Elsevier, 2010-03-01)Let A be an unbounded Arakelian set in the complex plane whose complement has infinite inscribed radius, and ψ be an ...
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Final Degree Project
Familias y espacios de funciones holomorfas en regiones del plano
Bernal Torres, Luis Agustín (2020-06-01)In this work we focus our attention on a collection of function spaces whose analysis is not deepened usually during the ...
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Article
Holomorphic operators generating dense images
Bernal González, Luis; Calderón Moreno, María del Carmen; Prado Bassas, José Antonio (Springer, 2008-01)The existence of infinite dimensional closed linear spaces of holomorphic functions f on a domain G in the complex plane ...
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Article
Holomorphic T-monsters and strongly omnipresent operators
Bernal González, Luis; Calderón Moreno, María del Carmen (Elsevier, 2000-06)Assume that G is a nonempty open subset of the complex plane and that T is an operator on the linear space of holomorphic ...
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Article
Hypercyclic algebras for D-multiples of convolution operators
Bernal González, Luis; Calderón Moreno, María del Carmen (American Mathematical Society, 2019-02)It is shown in this short note the existence, for each nonzero member of the ideal of D-multiples of convolution operators acting on the space of entire functions, of a scalar multiple of it supporting a hypercyclic algebra.
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Article
Infinite dimensional holomorphic non-extendability and algebraic genericity
Bernal González, Luis; Calderón Moreno, María del Carmen; Seoane Sepúlveda, Juan Benigno (Elsevier, 2017-01-15)In this note, the linear structure of the family He(G) of holomorphic functions in a domain G of a complex Banach space ...
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Article
Lacunary non-continuable boundary-regular 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 ...
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Article
Large algebras of singular functions vanishing on prescribed sets
Bernal González, Luis; Calderón Moreno, María del Carmen (Springer, 2016-06-21)In this paper, the non-vacuousness of the family of all nowhere analytic infinitely differentiable functions on the real ...
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Article
Large linear manifolds of non-continuable boundary-regular holomorphic functions
Bernal González, Luis; Calderón Moreno, María del Carmen; Luh, Wolfgang (Elsevier, 2008-05-01)We prove in this paper that if G is a domain in the complex plane satisfying adequate topological or geometrical conditions ...
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Article
Large subspaces of compositionally universal functions with maximal cluster sets
Bernal González, Luis; Calderón Moreno, María del Carmen; Prado Bassas, José Antonio (Elsevier, 2012-02)Let (φn) be a sequence of holomorphic self-maps of a Jordan domain G in the complex plane. Under appropriate conditions ...