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Bastin, F. ; Conejero, Jose A. ; Esser, C. ; Seoane-Sepúlveda, Juan B. | Hebrew University Magnes Press | 2015We show that there exist c-generated algebras (and dense in C (a)([0, 1])) every nonzero element of which is a nowhere Gevrey differentiable function. This leads to results of dense algebrability (and, therefore, lineability) of functions enjoyi[...]texto impreso
We show that there exist c-generated algebras (and dense in C ?([0, 1])) every nonzero element of which is a nowhere Gevrey differentiable function. This leads to results of dense algebrability (and, therefore, lineability) of functions enjoying[...]texto impreso
Conejero, Jose A. ; Fenoy, Mar ; Murillo Arcila, Marina ; Seoane-Sepúlveda, Juan B. | Springer Milan | 2017The search of lineability consists on finding large vector spaces of mathematical objects with special properties. Such examples have arisen in the last years in a wide range of settings such as in real and complex analysis, sequence spaces, lin[...]texto impreso
In recent years, the topic of car-following has experimented an increased importance in traffic engineering and safety research. This has become a very interesting topic because of the development of driverless cars (Google driverless cars, http[...]texto impreso
In recent years, the topic of car-following has experimented an increased importance in traffic engineering and safety research. This has become a very interesting topic because of the development of driverless cars (Google driverless cars, http[...]texto impreso
We show that no power of any entire function is hypercyclic for Birkhoff's translation operator on H(C). On the other hand, we see that the set of functions whose powers are all hypercyclic for MacLane's differentiation operator is a G(delta)-de[...]texto impreso
Aron, Richard M. ; Conejero, Jose A. ; Peris, Alfredo ; Seoane-Sepúlveda, Juan B. | American Mathematical Society | 2007We examine the question of whether there are algebras of functions having special properties. The types of functions studied will be everywhere surjective functions, hypercyclic entire functions, and continuous functions that attain their maximu[...]texto impreso
Aron, Richard M. ; Conejero, Jose A. ; Peris, Alfredo ; Seoane-Sepúlveda, Juan B. | Société mathématique de Belgique | 2010We show that there exists an uncountably generated algebra every non-zero element of which is an everywhere surjective function on C, that is, a function f : C -> C such that, for every non void open set U subset of C, f(U) = C.texto impreso
Conejero, Jose A. ; Jiménez Rodríguez, P. ; Muñoz-Fernández, Gustavo A. ; Seoane-Sepúlveda, Juan B. | Mathematical Association of America | 2014-01The Identity Theorem states that an analytic function (real or complex) on a connected domain is uniquely determined by its values on a sequence of distinct points that converge to a point of its domain. This result is not true in general in the[...]
