Browsing by Author "Prado Bassas, José Antonio"
Now showing items 1-20 of 29
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Article
A dynamical characterization of sub-Arakelian subsets
(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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Article
Algebraic structure of continuous, unbounded and integrable functions
(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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Final Degree Project
Aproximación en variable compleja
(2016-09)In the late Nineteenth Century, Weierstrass showed that any continuous real function in a compact can be uniformly ...
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Final Degree Project
Caos lineal
(2013-09)Chaos is a concept that has always attracted the attention of mathematicians and physicists as well as the general public. ...
- PhD Thesis
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Master's Final Project
Contraejemplos en Análisis : Lineabilidad
(2021)In 1966, Russian mathematician Vladimir Gurariy proved that the set of continuous functions on the interval [0, 1] that ...
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Article
Cyclicity of coefficient multipliers: Linear structure
(Springer, 2007-03)In this paper we characterize various kinds of cyclicity of sequences of coefficient multipliers, which are operators ...
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Master's Final Project
Funciones universales y propiedades de Acotación
(2015-09-15)El objetivo principal de este Trabajo Fin de Máster es realizar un estudio sobre los últimos resultados de existencia de ...
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Article
Hausdorff and Box dimensions of continuous functions and lineability
(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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Final Degree Project
Hiperciclicidad e hiperciclicidad frecuente
(2022-06-22)This work serves as an introduction to hypercyclicity, focusing on hypercyclicity in linear dynamical systems, with a ...
- Minor Thesis
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Article
Holomorphic operators generating dense images
(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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Article
Large subspaces of compositionally universal functions with maximal cluster sets
(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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Master's Final Project
Lineabilidad en espacios de sucesiones
(2016-06)Desde siempre, grandes matemáticos de todas las épocas se han sentido atraídos y fascinados por la existencia de grandes ...
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Master's Final Project
Lineabilidad y curvas de Peano
(2018)Las curvas de Peano pueden generalizarse y entenderse: o bien como aplicaciones continuas y sobreyectivas entre dos espacios ...
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Article
Lineability and modes of convergence
(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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Article
Lineability in sequence and function spaces
(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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PhD Thesis
Linear and algebraic structures in function sequence spaces
(2020-06-18)Historically, many mathematicians of all ages have been attracted and fascinated by the existence of large algebraic ...
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Article
Matemáticas: una ¿triste? historia de amor
(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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Article
Maximal cluster sets along arbitrary curves
(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.