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Listar Artículos (Análisis Matemático) por autor "Prado Bassas, José Antonio"
Mostrando ítems 1-20 de 20
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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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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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Anti M-Weierstrass function sequences
Calderón Moreno, María del Carmen; Gerlach Mena, Pablo José; Prado Bassas, José Antonio (Elsevier, 2020-11-01)Large algebraic structures are found inside the space of sequences of continuous functions on a compact interval having ...
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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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Hausdorff and Box dimensions of continuous functions and lineability
Bonilla Ramírez, Antonio Lorenzo; Muñoz Fernández, Gustavo Adolfo; Prado Bassas, José Antonio; Seoane Sepúlveda, Juan Benigno (Taylor & Francis, 2019-05)Given s ∈ (1, 2], we study (among other questions) the algebraic genericity of the set of continuous functions f : [0, 1] → R whose graph has Hausdorff (or Box) dimension exactly s.
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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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Infinite pointwise lineability: general criteria and applications
Prado Bassas, José Antonio; Gerlach Mena, Pablo José; Calderón Moreno, María del Carmen (Springer, 2023-11-11)In this paper we introduce the concept of infinite pointwise dense lineability (spaceability), and provide a criterion to ...
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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 ...
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Lineability and modes of convergence
Calderón Moreno, María del Carmen; Gerlach Mena, Pablo José; Prado Bassas, José Antonio (Springer, 2020-01)In this paper we look for the existence of large linear and algebraic structures of sequences of measurable functions with ...
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Lineability in sequence and function spaces
Araújo Soares, Gustavo; Bernal González, Luis; Muñoz Fernández, Gustavo Adolfo; Prado Bassas, José Antonio; Seoane Sepúlveda, Juan Benigno (Polish Academy of Sciences, Institute of Mathematics, 2017)It is proved the existence of large algebraic structures –including large vector subspaces or infinitely generated free ...
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Matemáticas: una ¿triste? historia de amor
Prado Bassas, José Antonio (2014-12-25)Recientemente me encontré en Twitter el vídeo Math tell us three of the saddest love stories del blog Lemongum sobre cómo ...
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Maximal cluster sets along arbitrary curves
Bernal González, Luis; Calderón Moreno, María del Carmen; Prado Bassas, José Antonio (Elsevier, 2004-08)The existence of a dense linear manifold of holomorphic functions on a Jordan domain having except for zero maximal cluster set along any curve tending to the boundary with nontotal oscillation value set is shown.
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Maximal cluster sets of L-analytic functions along arbitrary curves
Bernal González, Luis; Bonilla Ramírez, Antonio Lorenzo; Calderón Moreno, María del Carmen; Prado Bassas, José Antonio (Springer, 2007-03)Let Ω be a domain in the N-dimensional real space, L be an elliptic differential operator, and (Tn) be a sequence whose ...
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Maximal cluster sets on spaces of holomorphic functions
Prado Bassas, José Antonio (Oldenbourg, 2004)This is an expository paper where we relate some aspects of the problem of looking for holomorphic functions with maximal ...
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Simultaneously maximal radial cluster sets
Bernal González, Luis; Calderón Moreno, María del Carmen; Prado Bassas, José Antonio (Elsevier, 2005-07)In this paper, we show that for a wide class of operators T –including infi- nite order differential operators, and ...
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Subspaces of frequently hypercyclic functions for sequences of composition operators.
Bernal González, Luis; Calderón Moreno, María del Carmen; Jung, Andreas; Prado Bassas, José Antonio (Springer, 2019-02)In this paper, a criterion for a sequence of composition operators defined on the space of holomorphic functions in a ...
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The set of space-filling curves: topological and algebraic structure
Bernal González, Luis; Calderón Moreno, María del Carmen; Prado Bassas, José Antonio (Elsevier, 2015-02-15)In this paper, a study of topological and algebraic properties of two families of functions from the unit interval I into ...
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Undominated Sequences of Integrable Functions
Bernal González, Luis; Calderón Moreno, María del Carmen; Murillo Arcila, Marina; Prado Bassas, José Antonio (Springer Nature, 2020-10-20)In this paper, we investigate to what extent the conclusion of the Lebesgue dominated convergence theorem holds if the ...
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Universal Taylor series with maximal cluster sets
Bernal González, Luis; Bonilla Ramírez, Antonio Lorenzo; Calderón Moreno, María del Carmen; Prado Bassas, José Antonio (Consejo Superior de Investigaciones Científicas, 2009-06)We link the overconvergence properties of certain Taylor series in the unit disk to the maximality of their cluster sets, ...
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La vida secreta de los números
Prado Bassas, José Antonio (2012-07)Cuando uno ve un número, automáticamente piensa en Matemáticas. Se podría decir que son el alfabeto de esta ciencia. Sin ...