On the compressed Descartes-plane and its applications.
On the dominance relation between ordinal sums of conjunctors
This contribution deals with the dominance relation on the class of conjunctors, containing as particular cases the subclasses of quasi-copulas, copulas and t-norms. The main results pertain to the summand-wise nature of the dominance relation, when applied to ordinal sum conjunctors, and to the relationship between the idempotent elements of two conjunctors involved in a dominance relationship. The results are illustrated on some well-known parametric families of t-norms and copulas.
Perron type integration on -dimensional intervals as an extension of integration of stepfunctions by strong equiconvergence
Quasi-copulas with quadratic sections in one variable
We introduce and characterize the class of multivariate quasi-copulas with quadratic sections in one variable. We also present and analyze examples to illustrate our results.
Some full descriptive characterizations of the Henstock-Kurzweil integral in the Euclidean space
Using generalized absolute continuity, we characterize additive interval functions which are indefinite Henstock-Kurzweil integrals in the Euclidean space.
Some remarks on almost continuous functions
Sulla rappresentazione analitica delle funzioni di più variabili reali
Sur le nombre des périodes d'une fonction uniforme
The Lukacs-Olkin-Rubin theorem without invariance of the "quotient"
The Lukacs theorem is one of the most brilliant results in the area of characterizations of probability distributions. First, because it gives a deep insight into the nature of independence properties of the gamma distribution; second, because it uses beautiful and non-trivial mathematics. Originally it was proved for probability distributions concentrated on (0,∞). In 1962 Olkin and Rubin extended it to matrix variate distributions. Since that time it has been believed that the fundamental reason...
Ueber eine Transformationsformel für Doppelintegrale.
Критерий продолжения функций класса из неограниченных плоских областей
О приближении функций двух переменных суммами вида в пространствах .