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Tesis Doctoral
Universalidad: U-operadores y sucesiones de operadores diferenciales
(2003)
A continuación se estudia la superciclicidad y se introduce la propiedad de la c-hiperciclicidad y c-hiperciclicidad por autovalores que se aprovechan para exhibir condiciones suficientes de superciclicidad y c-hiperciclidad ...
Tesis Doctoral
Estudio asintótico de polinomios matriciales ortogonales
(2003-05-07)
La memoria de esta tesis doctoral presenta una serie de investigaciones realizadas sobre la teoría de la ortogonalidad matricial relativas al comportamiento asintótico de los polinomios matriciales ortogonales. El ...
Artículo
Matrices de Hadamard
(Sociedad Española de Matemática Aplicada, 2003)
Se definen las matrices de Hadamard y se indican algunos problemas referentes a su existencia, construcción y unicidad. Se mostrarán algunos ejemplos de aplicaciones de las matrices de Hadamard para resolver problemas ...
Artículo
Some limit relations in the A1 tableau of Dunkl-Cherednik operators
(Elsevier, 2003-12-15)
In this paper we study some limit relations involving some q-special functions related with the A1 (root system) tableau of Dunkl-Cherednik operators. Concretely we consider the limits involving the nonsymmetric q-ultraspherical ...
Artículo
Artículo
Boundary-chaotic behaviour of continuous functions under the action of operators
(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 action of which many functions behave chaotically near the boundary. Several examples, including ...
Artículo
Mellin transforms for some families of q-polynomials
(Elsevier, 2003-04-01)
By using Ramanujan's q-extension of the Euler integral representation for the gamma function, we derive the Mellin integral transforms for the families of the discrete q-Hermite II, the Al-Salam–Carlitz II, the big q-Laguerre, ...
Artículo
Potential operators, maximal functions, and generalizations of A∞
(Springer, 2003-08)
We derive weighted norm estimates which relate integral operators of potential type (fractional integrals) to corresponding maximal operators (fractional maximal operators). We also derive norm estimates for the maximal ...
Artículo
A sum operator with applications to self-improving properties of Poincaré inequalities in metric spaces
(Springer, 2003-09)
We define a class of summation operators with applications to the self-improving nature of Poincaré-Sobolev estimates, in fairly general quasimetric spaces of homogeneous type. We show that these sum operators play the ...
Artículo
The fixed-point property in Banach spaces containing a copy of c0
(Hindawi, 2003)
We prove that every Banach space containing an isomorphic copy of c0 fails to have the fixed-point property for asymptotically nonexpansive mappings with respect to some locally convex topology which is coarser than the ...