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Listar por autor "Bernal González, Luis"
Mostrando ítems 1-20 de 86
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A lot of “counterexamples” to Liouville's theorem
Bernal González, Luis (Elsevier, 1996-08-01)We prove in this paper that, given α ∈ (0, 1/2), there exists a linear manifold M of entire functions satisfying that M ...
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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 genericity of strict-order integrability
Bernal González, Luis (Polish Academy of Sciences, Institute of Mathematics, 2010)We provide sharp conditions on a measure µ defined on a measurable space X guaranteeing that the family of functions in ...
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Backward Φ-shifts and universality
Bernal González, Luis (Elsevier, 2005-06-01)In this paper we consider spaces of sequences which are valued in a topological space E and study generalized backward ...
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Banach spaces of universal Taylor series in the disc algebra
Bernal González, Luis; Jung, Andreas; Müller, Jürgen (Springer, 2016-09)It is proved that there are large vector spaces of functions in the disc algebra for which every nonzero member satisfies ...
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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 ...
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Boundary-nonregular functions in the disc algebra and in holomorphic Lipschitz spaces
Bernal González, Luis; Bonilla Ramírez, Antonio Lorenzo; López-Salazar Codes, Jerónimo; Seoane Sepúlveda, Juan Benigno (Springer, 2018-06)We prove in this paper the existence of dense linear subspaces in the classical holomorphic Lipschitz spaces in the disc ...
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Common hypercyclic functions for multiples of convolution and non-convolution operators
Bernal González, Luis (American Mathematical Society, 2009-11)We prove the existence of a residual set of entire functions, all of whose members are hypercyclic for every nonzero scalar ...
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Compositional frequent hypercyclicity on weighted Dirichlet spaces
Bernal González, Luis; Bonilla Ramírez, Antonio Lorenzo (The Belgian Mathematical Society, 2010-02)It is proved that, in most cases, a scalar multiple of a linear-fractional generated composition operator λCϕ acting on a ...
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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 ...
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Compositionally universal entire functions on the plane and the punctured plane
Bernal González, Luis (Springer, 2013-06)Necessary/sufficient conditions for a sequence of automorphisms of the complex plane to generate a sequence of composition ...
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Tesis Doctoral
Crecimiento relativo de funciones enteras. Aportaciones al estudio de las funciones enteras con índice exponencial finito
Bernal González, Luis (1984-09-29) -
Artículo
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 ...
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Existence and nonexistence of hypercyclic semigroups
Bernal González, Luis; Grosse-Erdmann, Karl-Goswin (American Mathematical Society, 2007-03)In these notes we provide a new proof of the existence of a hypercyclic uniformly continuous semigroup of operators on any ...
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Exponente de convergencia generalizado de una sucesión compleja
Bernal González, Luis (Universitat de Barcelona, 1987)Our aim in this paper is to give several new expressions for the kth-convergence exponent of a complex sequence, and an extension of this concept to a certain class of real functions.
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Exponential type of hypercyclic entire functions
Bernal González, Luis; Bonilla Ramírez, Antonio Lorenzo (Springer, 2002-04)In this paper the exponential type of hypercyclic entire functions with respect to a sequence (Φn(D)) of differential ...
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Families of strongly annular functions: linear structure
Bernal González, Luis; Bonilla Ramírez, Antonio Lorenzo (Springer, 2013-01)A function f holomorphic in the unit disk D is called strongly annular if there exists a sequence of concentric circles ...