On the *topology and its application
On the topology of polynomials with bounded integer coefficients
For a real number and a positive integer , let . In this paper, we show that is dense in if and only if and is not a Pisot number. This completes several previous results and answers an open question raised by Erdös, Joó and Komornik [8].
On the two definitions of independence
On the uniform limit of quasi-continuous functions.
Estudiamos cuando el límite uniforme de una red de funciones cuasi-continuas con valores en un espacio localmente convexo X es también una función cuasi-continua, resaltando que esta propiedad depende del menor cardinal de un sistema fundamental de entornos de O en X, y estableciendo condiciones necesarias y suficientes. El principal resultado de este trabajo es el Teorema 15, en el que los resultados de [7] y [10] son mejorados, en relación al Teorema de L. Schwartz.
On the uniqueness of Lebesgue and Borel measures.
On the Urysohn condition and the convergence of probability distributions
On the visibility of invisible sets.
On the Vitali covering properties of a differentiation basis
On the Ward Theorem for -adic-path bases associated with a bounded sequence
In this paper we prove that each differentiation basis associated with a -adic path system defined by a bounded sequence satisfies the Ward Theorem.
On the -finiteness of a variational measure
The -finiteness of a variational measure, generated by a real valued function, is proved whenever it is -finite on all Borel sets that are negligible with respect to a -finite variational measure generated by a continuous function.
On topologies generated by some operators
The paper concerns topologies introduced in a topological space (X, τ) by operators which are much weaker than the lower density operators. Some properties of the family of sets having the Baire property and the family of meager sets with respect to such topologies are investigated.
On transformations of sets in
On translation invariant families of sets
On trigonometric polynomials spanned by characters of unitary representations.
On two strengthenings of regularity of measures
On typical Markov operators acting on Borel measures.
On Ulam's problem on families of measures
On uncountable unions and intersections of measurable sets.
On uniform tail expansions of multivariate copulas and wide convergence of measures
The theory of copulas provides a useful tool for modeling dependence in risk management. In insurance and finance, as well as in other applications, dependence of extreme events is particularly important, hence there is a need for a detailed study of the tail behaviour of multivariate copulas. We investigate the class of copulas having regular tails with a uniform expansion. We present several equivalent characterizations of uniform tail expansions. Next, basing on them, we determine the class of...
On uniformly regular measures