Author profile: Bernal González, Luis
Institutional data
Name | Bernal González, Luis |
Department | Análisis Matemático |
Knowledge area | Análisis Matemático |
Professional category | Catedrático de Universidad |
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Statistics
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No. publications
83
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7915
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8714
Publications |
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Article
![]() Real-Analytic Non-Integrable Functions on the Plane with Equal Iterated Integrals
(Springer, 2021-12-16)
In this note, a vector space of real-analytic functions on the plane is explicitly constructed such that all its nonzero ... |
Final Degree Project
![]() Las funciones Gamma de Euler-Gauss y Zeta de Riemann
(2020-06-01)
The Swiss mathematician Leonhard Euler started the study of the Gamma function when he became interested in the problem ... |
Article
![]() [S]-linear and convex structures in function families
(Elsevier, 2019-10-15)
In this paper, the notion of [S]-lineability (originally coined by Vladimir I. Gurariy) is introduced and developed in a ... |
Article
![]() Universality of sequences of operators related to Taylor series
(Elsevier, 2019-06-01)
In this note, the universality of a sequence of operators associated to the partial sums of the Taylor series of a holomorphic ... |
Article
![]() Structural aspects of the non-uniformly continuous functions and the unbounded functions within C(X)
(Elsevier, 2019-04-01)
We prove in this paper that if a metric space supports a real continuous function which is not uniformly continuous then, ... |
Article
![]() Nowhere hölderian functions and Pringsheim singular functions in the disc algebra
(Springer, 2019-04-01)
We prove the existence of dense linear subspaces, of infinitely generated subalgebras and of infinite dimensional Banach ... |
Article
![]() Subspaces of frequently hypercyclic functions for sequences of composition operators.
(Springer, 2019-02-01)
In this paper, a criterion for a sequence of composition operators defined on the space of holomorphic functions in a ... |
Article
![]() Hypercyclic algebras for D-multiples of convolution operators
(American Mathematical Society, 2019-02-01)
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. |
Article
![]() Simultaneous universality
(Elsevier, 2018-08-01)
In this paper, the notion of simultaneous universality is introduced, concerning operators having orbits that simultaneously ... |
Article
![]() Boundary-nonregular functions in the disc algebra and in holomorphic Lipschitz spaces
(Springer, 2018-06-01)
We prove in this paper the existence of dense linear subspaces in the classical holomorphic Lipschitz spaces in the disc ... |
Article
![]() Highly tempering infinite matrices
(Springer, 2018-04-01)
In this short note, it is proved the existence of infinite matrices that not only preserve convergence and limits of ... |
Article
![]() Vector spaces of non-extendable holomorphic functions
(Springer, 2018-02-01)
In this paper, the linear structure of the family He(G) of holomorphic functions in a domain G of the complex plane that ... |
Article
![]() Non-Lipschitz differentiable functions on slit domains
(Springer, 2017-05-01)
It is proved the existence of large algebraic structures –including large vector subspaces or infinitely generated free ... |
Article
![]() Infinite dimensional holomorphic non-extendability and algebraic genericity
(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 ... |
Article
![]() The algebraic size of the family of injective operators
(De Gruyter Open, 2017-01-01)
In this paper, a criterion for the existence of large linear algebras consisting, except for zero, of one-to-one operators ... |
Article
![]() Lineability in sequence and function spaces
(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 ... |
Article
![]() Banach spaces of universal Taylor series in the disc algebra
(Springer, 2016-09-01)
It is proved that there are large vector spaces of functions in the disc algebra for which every nonzero member satisfies ... |
Article
![]() Large algebras of singular functions vanishing on prescribed sets
(Springer, 2016-06-21)
In this paper, the non-vacuousness of the family of all nowhere analytic infinitely differentiable functions on the real ... |
Article
![]() Rate of growth of hypercyclic and frequently hypercyclic functions for the Dunkl operator
(Springer, 2016-01-01)
For the Dunkl operator Λα (α > −1/2) on the space of entire functions on the complex space C, the critical rate of growth ... |
Article
![]() Order of growth of distributional irregular entire functions for the differentiation operator
(Taylor & Francis, 2016-01-01)
We study the rate of growth of entire functions that are distributionally irregular for the differentiation operator D. ... |
Article
![]() The set of space-filling curves: topological and algebraic structure
(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 ... |
Presentation
![]() Lineability of holomorphic non-extendability
(2015-01-01)
|
Article
![]() Peano curves on topological vector spaces
(Elsevier, 2014-11-01)
The starting point of this paper is the existence of Peano curves, that is, continuous surjections mapping the unit interval ... |
Article
![]() Lineability criteria, with applications
(Elsevier, 2014-03-15)
Lineability is a property enjoyed by some subsets within a vector space X. A subset A of X is called lineable whenever A ... |
Article
![]() Linear subsets of nonlinear sets in topological vector spaces
(American Mathematical Society, 2014-01-01)
For the last decade there has been a generalized trend in Mathematics on the search for large algebraic structures (linear ... |
Article
![]() Compositionally universal entire functions on the plane and the punctured plane
(Springer, 2013-06-01)
Necessary/sufficient conditions for a sequence of automorphisms of the complex plane to generate a sequence of composition ... |
Article
![]() Families of strongly annular functions: linear structure
(Springer, 2013-01-01)
A function f holomorphic in the unit disk D is called strongly annular if there exists a sequence of concentric circles ... |
Article
![]() On the growth of zero-free MacLane-universal entire functions
(Elsevier, 2012-09-01)
We show that exponential growth is the critical discrete rate of growth for zero-free entire functions which are universal ... |
Article
![]() Large subspaces of compositionally universal functions with maximal cluster sets
(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 ... |
Presentation
![]() Universality and lineability: new trends
(2012-01-01)
|
Article
![]() Dense-lineability of sets of Birkhoff-universal functions with rapid decay
(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 ... |
Article
![]() Compositional frequent hypercyclicity on weighted Dirichlet spaces
(The Belgian Mathematical Society, 2010-02-01)
It is proved that, in most cases, a scalar multiple of a linear-fractional generated composition operator λCϕ acting on a ... |
Article
![]() Algebraic genericity of strict-order integrability
(Polish Academy of Sciences, Institute of Mathematics, 2010-01-01)
We provide sharp conditions on a measure µ defined on a measurable space X guaranteeing that the family of functions in ... |
Article
![]() Common hypercyclic functions for multiples of convolution and non-convolution operators
(American Mathematical Society, 2009-11-01)
We prove the existence of a residual set of entire functions, all of whose members are hypercyclic for every nonzero scalar ... |
Article
![]() Universal Taylor series with maximal cluster sets
(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, ... |
Article
![]() Interpolation by hypercyclic functions for differential operators
(Elsevier, 2009-04-01)
We prove that, given a sequence of points in a complex domain Ω without accumulation points, there are functions having ... |
Article
![]() Universal functions with prescribed zeros and interpolation properties
(University of Michigan, 2009-01-01)
|
Article
![]() Large linear manifolds of non-continuable boundary-regular holomorphic functions
(Elsevier, 2008-05-01)
We prove in this paper that if G is a domain in the complex plane satisfying adequate topological or geometrical conditions ... |
Article
![]() Holomorphic operators generating dense images
(Springer, 2008-01-01)
The existence of infinite dimensional closed linear spaces of holomorphic functions f on a domain G in the complex plane ... |
Article
![]() Compositional universality in the N-dimensional ball
(De Gruyter, 2007-05-01)
It is proved in this note that a sequence of automorphisms on the N-dimensional unit ball acts properly discontinuously ... |
Article
![]() Maximal cluster sets of L-analytic functions along arbitrary curves
(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 ... |
Article
![]() Cyclicity of coefficient multipliers: Linear structure
(Springer, 2007-03-01)
In this paper we characterize various kinds of cyclicity of sequences of coefficient multipliers, which are operators ... |
Article
![]() Existence and nonexistence of hypercyclic semigroups
(American Mathematical Society, 2007-03-01)
In these notes we provide a new proof of the existence of a hypercyclic uniformly continuous semigroup of operators on any ... |
Article
![]() Compositional hypercyclicity equals supercyclicity
(University of Houston, 2007-01-01)
In this note it is proved that the sequence of composition operators generated by automorphisms of a simply connected ... |
Article
![]() Hypercyclic subspaces in Fréchet spaces
(American Mathematical Society, 2006-07-01)
In this note, we show that every infinite-dimensional separable Fr´echet space admitting a continuous norm supports an ... |
Article
![]() Linear structure of the weighted holomorphic non-extendibility
(Cambridge University Press, 2006-06-01)
In this paper, it is proved that, for any domain G of the complex plane, there exist an infinite-dimensional closed linear ... |
Article
![]() Universality of holomorphic functions bounded on closed sets
(Elsevier, 2006-03-01)
In this note, the existence of translation-universal entire functions which are bounded on certain closed subsets is ... |
Article
![]() Interpolation by tamed entire functions
(Bulgarian Academy of Sciences, 2006-01-01)
In this note it is constructed an entire function that interpolates a prescribed pair of sequences in the complex plane, ... |
Article
![]() Universal matrix transforms of holomorphic functions
(University of Houston, 2006-01-01)
The phenomenon of overconvergence is related with the convergence of subsequences of the sequence of partial sums of Taylor ... |
Article
![]() Lacunary non-continuable boundary-regular holomorphic functions with universal properties
(National Academy of Sciences of the Republic of Armenia, 2006-01-01)
A holomorphic function in a Jordan domain G in the complex plane is constructed with all its derivatives extending ... |
Article
![]() Simultaneously maximal radial cluster sets
(Elsevier, 2005-07-01)
In this paper, we show that for a wide class of operators T –including infi- nite order differential operators, and ... |
Article
![]() Backward Φ-shifts and universality
(Elsevier, 2005-06-01)
In this paper we consider spaces of sequences which are valued in a topological space E and study generalized backward ... |
Article
![]() Universal entire functions for affine endomorphisms of C N
(Elsevier, 2005-05-15)
In this paper the affine endomorphisms of C N which support compositionally universal entire functions are completely characterized. |
Article
![]() Universality on higher order Hardy spaces
(Cambridge University Press, 2005-02-01)
We prove a Seidel-Walsh-type theorem about universality of a sequence of derivation-composition operators generated by ... |
Article
![]() U-operators
(Cambridge University Press, 2005-02-01)
Inspired by a statement of W. Luh asserting the existence of entire functions having together with all their derivatives ... |
Article
![]() Linear Kierst-Szpilrajn theorems
(Polish Academy of Sciences, Institute of Mathematics, 2005-01-01)
We prove in this paper the following result which extends in a somewhat ‘linear’ sense a theorem by Kierst and Szpilrajn ... |
Article
![]() Maximal cluster sets along arbitrary curves
(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. |
Article
![]() Universal transforms of the geometric series under generalized Riesz methods
(Springer, 2004-03-01)
In this paper generalized Riesz methods (R, p, M) of summability are considered. We prove that, to each open set O ⊂ C ... |
Article
![]() Norms of hypercyclic sequences
(The European Digital Mathematics Library, 2004-01-01)
In this note, is proved that every member of a wide class of Banach spaces supports a sequence (Tn) of operators with a ... |
Article
![]() Boundary-chaotic behaviour of continuous functions under the action of operators
(Cambridge University Press, 2003-06-01)
In this paper we introduce two classes of operators on spaces of continuous functions with values in F-spaces under the ... |
PhD Thesis
![]() Universalidad: U-operadores y sucesiones de operadores diferenciales
(2003-01-01)
A continuación se estudia la superciclicidad y se introduce la propiedad de la c-hiperciclicidad y c-hiperciclicidad por ... |
Article
![]() Strongly omnipresent integral operators
(Springer, 2002-12-01)
An operator T on the space H(G) of holomorphic functions on a domain G is strongly omnipresent whenever there is a residual ... |
Article
![]() Dense linear manifolds of monsters
(Elsevier, 2002-12-01)
In this paper the new concept of totally omnipresent operators is introduced. These operators act on the space of holomorphic ... |
Article
![]() Two hyperbolic Schwarz lemmas
(Cambridge University Press, 2002-08-01)
In this paper, a sharp version of the Schwarz–Pick Lemma for hyperbolic derivatives is provided for holomorphic selfmappings ... |
Article
![]() Strongly omnipresent operators: general conditions and applications to composition operators
(Cambridge University Press, 2002-06-01)
This paper studies the concept of strongly omnipresent operators that was recently introduced by the first two authors. ... |
Article
![]() Exponential type of hypercyclic entire functions
(Springer, 2002-04-01)
In this paper the exponential type of hypercyclic entire functions with respect to a sequence (Φn(D)) of differential ... |
Article
![]() Monsters in Hardy and Bergman spaces
(Taylor & Francis, 2002-01-01)
A monster in the sense of Luh is a holomorphic function on a simply connected domain in the complex plane such that it and ... |
Article
![]() Operators with dense images everywhere
(Elsevier, 2001-11-01)
In this paper, the authors introduce the dense-image operators T as those with a wild behaviour near of the boundary of a ... |
Article
![]() Sequences of differential operators: exponentials, hypercyclicity and equicontinuity
(Polish Academy of Sciences, Institute of Mathematics, 2001-01-01)
In this paper, an eigenvalue criterion for hypercyclicity due to the first author is improved. As a consequence, some new ... |
Article
![]() Multiplicative sequences for universal sequences of mappings
(The European Digital Mathematics Library, 2001-01-01)
In this paper we study the universality of (cnTn) where (cn) is a scalar sequence and (Tn) is a universal sequence such ... |
Article
![]() Holomorphic T-monsters and strongly omnipresent operators
(Elsevier, 2000-06-01)
Assume that G is a nonempty open subset of the complex plane and that T is an operator on the linear space of holomorphic ... |
Article
![]() A Seidel-Walsh theorem with linear differential operators
(Springer, 1999-05-01)
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 ... |
Article
![]() Holomorphic functions having large images under the action of differential operators
(Elsevier, 1999-02-15)
We prove in this note that, given a simply connected domain G in the complex plane and a sequence of infinite order linear ... |
Article
![]() Hypercyclic sequences of differential and antidifferential operators
(Elsevier, 1999-02-01)
In this paper, we provide some extensions of earlier results about hypercyclicity of some operators on the Fréchet space ... |
Article
![]() On universal entire functions with zero-free derivatives
(Springer, 1997-04-01)
We prove in this note a generalization of a theorem due to G. Herzog on zero-free universal entire functions. Specifically, ... |
Article
![]() Small entire functions with extremely fast growth
(Elsevier, 1997-03-15)
We prove in this note that, given α ∈ (0, 1/2), there exists a linear manifold M of entire functions satisfying that M is ... |
Article
![]() A lot of “counterexamples” to Liouville's theorem
(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 ... |
Article
![]() Universal functions for taylor shifts
(Taylor & Francis, 1996-01-01)
In this paper a new sort of operators, the Taylor shifts, is introduced. They appear as a generalization of weighted ... |
PhD Thesis
![]() Funciones universales para operadores de composición en superficies de Riemann
(1994-01-01)
"Esta memoria está dividida en cuatro capítulos. En el Capítulo cero de preliminares introducimos la notación y recordamos ... |
Article
![]() Orden relativo de crecimiento de funciones enteras
(Universitat de Barcelona, 1988-01-01)
In this paper, we essay a generalization of the classical concept of growth order of an entire function. We define the new ... |
Article
![]() Exponente de convergencia generalizado de una sucesión compleja
(Universitat de Barcelona, 1987-01-01)
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. |
Article
![]() Funciones con derivadas sucesivas grandes y pequeñas por doquier
(Universitat de Barcelona, 1987-01-01)
In this paper we show that, given two double sequences of positive real numbers, α and β, the subset of all functions ... |
PhD Thesis |