Now showing items 1-20 of 23

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      A dynamical characterization of sub-Arakelian subsets  [Article]

      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 functions via similarities. Moreover, if we consider the set of universal entire functions via ...
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      Algebraic structure of continuous, unbounded and integrable functions  [Article]

      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 in [0, +∞) and of the family of sequences of these functions converging to zero uniformly on ...
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      Aproximación en variable compleja  [Final Degree Work]

      Prado Rodríguez, Ana María (2016-09)
      In the late Nineteenth Century, Weierstrass showed that any continuous real function in a compact can be uniformly approximated by polynomials, but this theorem is not valid for complex functions. In this context, Runge ...
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      Ciclicidad de coeficientes multiplicadores y subespacios de funciones universales  [PhD Thesis]

      Prado Bassas, José Antonio (2004)
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      Cyclicity of coefficient multipliers: Linear structure  [Article]

      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 defined on spaces of holomorphic functions. In the case of a single coefficient multiplier we characterize ...
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      Hausdorff and Box dimensions of continuous functions and lineability  [Article]

      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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      Hiperciclidad de operadores shifts. Algunos problemas relacionados  [xmlui.item.others]

      Prado Bassas, José Antonio (2001-01)
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      Holomorphic operators generating dense images  [Article]

      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 such that T f has dense images on certain subsets of G, where T is a continuous linear operator, is ...
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      Large subspaces of compositionally universal functions with maximal cluster sets  [Article]

      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 on (φn), we construct an H(G)-dense linear manifold –as well as a closed infinite-dimensional ...
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      Lineabilidad en espacios de sucesiones  [Master's Thesis]

      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 estructuras algebraicas que verifican ciertas propiedades que, a priori, contradicen la intuición ...
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      Lineabilidad y curvas de Peano  [Master's Thesis]

      Jácome Maura, Francisco (2018)
      Las curvas de Peano pueden generalizarse y entenderse: o bien como aplicaciones continuas y sobreyectivas entre dos espacios X e Y , o bien como curvas cuya imagen tiene área. Cada una de estas dos interpretaciones define ...
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      Lineability and modes of convergence  [Article]

      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 different modes of convergence. Concretely, the algebraic size of the family of sequences that are ...
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      Lineability in sequence and function spaces  [Article]

      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 algebras– inside, among others, the family of Lebesgue measurable functions that are surjective in a ...
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      Matemáticas: una ¿triste? historia de amor  [Article]

      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 las matemáticas nos cuentan las historias de amor más tristes. En el presente artículo vamos a ...
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      Maximal cluster sets along arbitrary curves  [Article]

      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  [Article]

      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 members belong to a certain class of operators defined on the space of L-analytic functions on Ω. ...
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      Maximal cluster sets on spaces of holomorphic functions  [Article]

      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 cluster sets under the action of operators defined on spaces of holomorphic functions. Some functional ...
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      Monstruos de Weierstrass  [Final Degree Work]

      Gerlach Mena, Pablo José (2015)
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      Simultaneously maximal radial cluster sets  [Article]

      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 multiplication and composition operators– acting on the space H(D) of holomorphic functions in the unit ...
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      Subspaces of frequently hypercyclic functions for sequences of composition operators.  [Article]

      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 complex domain to be frequently hypercyclic is provided. Such a criterion improves some already known ...