Data

NamePrado Bassas, José Antonio
DepartmentAnálisis Matemático
Knowledge areaAnálisis Matemático
Professional categoryProfesor Titular de Universidad
E-mailRequest
           

  Statistics

  • Items

    25

  • Visits

    3339

  • Downloads

    5182

  Publications

 

PhD Thesis
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Linear and algebraic structures in function sequence spaces

Calderón Moreno, María del Carmen; Prado Bassas, José Antonio; 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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Lineability and modes of convergence

Calderón Moreno, María del Carmen; Gerlach Mena, Pablo José; Prado Bassas, José Antonio (Springer, 2020-01-01)
In this paper we look for the existence of large linear and algebraic structures of sequences of measurable functions with ...
Final Degree Project
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Modos de Convergencia

Calderón Moreno, María del Carmen; Prado Bassas, José Antonio; Pineda Santos, Daniel (2020-01-01)
El objetivo de este trabajo es mostrar al lector varios modos de convergencia de sucesiones de funciones, estos son: ...
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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, 2019-05-01)
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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Algebraic structure of continuous, unbounded and integrable functions

Calderón Moreno, María del Carmen; Gerlach Mena, Pablo José; Prado Bassas, José Antonio (Elsevier, 2019-02-01)
In this paper we study the large linear and algebraic size of the family of unbounded continuous and integrable functions ...
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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, 2019-02-01)
In this paper, a criterion for a sequence of composition operators defined on the space of holomorphic functions in a ...
Master's Final Project
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Lineabilidad y curvas de Peano

Calderón Moreno, María del Carmen; Prado Bassas, José Antonio; Jácome Maura, Francisco (2018-01-01)
Las curvas de Peano pueden generalizarse y entenderse: o bien como aplicaciones continuas y sobreyectivas entre dos espacios ...
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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, 2017-01-01)
It is proved the existence of large algebraic structures –including large vector subspaces or infinitely generated free ...
Final Degree Project
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Aproximación en variable compleja

Calderón Moreno, María del Carmen; Prado Bassas, José Antonio; Prado Rodríguez, Ana María (2016-09-01)
In the late Nineteenth Century, Weierstrass showed that any continuous real function in a compact can be uniformly ...
Master's Final Project
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Lineabilidad en espacios de sucesiones

Calderón Moreno, María del Carmen; Prado Bassas, José Antonio; Gerlach Mena, Pablo José (2016-06-01)
Desde siempre, grandes matemáticos de todas las épocas se han sentido atraídos y fascinados por la existencia de grandes ...
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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 ...
Final Degree Project
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Monstruos de Weierstrass

Calderón Moreno, María del Carmen; Prado Bassas, José Antonio; Gerlach Mena, Pablo José (2015-01-01)
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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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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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La vida secreta de los números

Prado Bassas, José Antonio (2012-07-01)
Cuando uno ve un número, automáticamente piensa en Matemáticas. Se podría decir que son el alfabeto de esta ciencia. Sin ...
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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, 2012-02-01)
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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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, 2009-06-01)
We link the overconvergence properties of certain Taylor series in the unit disk to the maximality of their cluster sets, ...
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Holomorphic operators generating dense images

Bernal González, Luis; Calderón Moreno, María del Carmen; Prado Bassas, José Antonio (Springer, 2008-01-01)
The existence of infinite dimensional closed linear spaces of holomorphic functions f on a domain G in the complex plane ...
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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, 2007-03-01)
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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Cyclicity of coefficient multipliers: Linear structure

Bernal González, Luis; Calderón Moreno, María del Carmen; Prado Bassas, José Antonio (Springer, 2007-03-01)
In this paper we characterize various kinds of cyclicity of sequences of coefficient multipliers, which are operators ...
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Simultaneously maximal radial cluster sets

Bernal González, Luis; Calderón Moreno, María del Carmen; Prado Bassas, José Antonio (Elsevier, 2005-07-01)
In this paper, we show that for a wide class of operators T –including infi- nite order differential operators, and ...
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Maximal cluster sets along arbitrary curves

Bernal González, Luis; Calderón Moreno, María del Carmen; Prado Bassas, José Antonio (Elsevier, 2004-08-01)
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 on spaces of holomorphic functions

Prado Bassas, José Antonio (Oldenbourg, 2004-01-01)
This is an expository paper where we relate some aspects of the problem of looking for holomorphic functions with maximal ...
PhD Thesis
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Ciclicidad de coeficientes multiplicadores y subespacios de funciones universales

Calderón Moreno, María del Carmen; Prado Bassas, José Antonio (2004-01-01)
Minor Thesis
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Hiperciclidad de operadores shifts. Algunos problemas relacionados

Prado Bassas, José Antonio (2001-01-01)