Now showing items 1-20 of 25

    • Article
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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 ...
    • Article
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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 ...
    • Final Degree Project
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      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 ...
    • PhD Thesis
    • Article
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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 ...
    • Article
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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.
    • Minor Thesis
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      Hiperciclidad de operadores shifts. Algunos problemas relacionados 

      Prado Bassas, José Antonio (2001-01)
    • Article
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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 ...
    • Article
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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 ...
    • Master's Final Project
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      Lineabilidad en espacios de sucesiones 

      Gerlach Mena, Pablo José (2016-06)
      Desde siempre, grandes matemáticos de todas las épocas se han sentido atraídos y fascinados por la existencia de grandes ...
    • Master's Final Project
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      Lineabilidad y curvas de Peano 

      Jácome Maura, Francisco (2018)
      Las curvas de Peano pueden generalizarse y entenderse: o bien como aplicaciones continuas y sobreyectivas entre dos espacios ...
    • Article
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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 ...
    • Article
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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 ...
    • PhD Thesis
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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 ...
    • Article
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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 ...
    • Article
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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.
    • Article
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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 ...
    • Article
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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 ...
    • Final Degree Project
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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: ...
    • Final Degree Project
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      Monstruos de Weierstrass 

      Gerlach Mena, Pablo José (2015)