Now showing items 1-20 of 51

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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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      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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      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 ...
    • 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 ...
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      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 ...
    • PhD Thesis
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      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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      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 ...
    • Master's Final Project
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      Contraejemplos en Análisis : Lineabilidad 

      Condado Peñaranda, Juan (2021)
      In 1966, Russian mathematician Vladimir Gurariy proved that the set of continuous functions on the interval [0, 1] that ...
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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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      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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      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 ...
    • Final Degree Project
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      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 ...
    • Master's Final Project
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      Funciones universales y propiedades de Acotación 

      Prado Rodríguez, Mercedes (2015-09-15)
      El objetivo principal de este Trabajo Fin de Máster es realizar un estudio sobre los últimos resultados de existencia de ...
    • Final Degree Project
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      Hiperciclicidad e hiperciclicidad frecuente 

      Acuaviva Huertos, Pablo (2022-06-22)
      This work serves as an introduction to hypercyclicity, focusing on hypercyclicity in linear dynamical systems, with a ...
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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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      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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      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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      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 ...