• Artículo
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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 ...
    • Tesis Doctoral
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      Linear and algebraic structures in function sequence spaces 

      Gerlach Mena, Pablo José (2020-06-18)
      Historically, many mathematicians of all ages have been attracted and fascinated by the existence of large algebraic ...
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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 ...
    • Trabajo Fin de Grado
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      Modos de Convergencia 

      Pineda Santos, Daniel (2020)
      El objetivo de este trabajo es mostrar al lector varios modos de convergencia de sucesiones de funciones, estos son: ...
    • Trabajo Fin de Grado
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      Monstruos de Weierstrass 

      Gerlach Mena, Pablo José (2015)
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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 ...