Sobre el corazón de una función vectorial.
Some basic relationships among transforms, convolution products, first variations and inverse transforms
In this paper we obtain several basic formulas for generalized integral transforms, convolution products, first variations and inverse integral transforms of functionals defined on function space.
Some change of variable formulas in integral representation theory.
Some connections between measure, indiscernibility and representation of cuts
Some consequences of a kind of Hahn-Banach's theorem
Some Fine Properties of BV Functions on Wiener Spaces
In this paper we define jump set and approximate limits for BV functions on Wiener spaces and show that the weak gradient admits a decomposition similar to the finite dimensional case. We also define the SBV class of functions of special bounded variation and give a characterisation of SBV via a chain rule and a closure theorem. We also provide a characterisation of BV functions in terms of the short-time behaviour of the Ornstein-Uhlenbeck semigroup following an approach due to Ledoux.
Some fine properties of sets with finite perimeter in Wiener spaces
In this paper we give a brief overview on the state of art of developments of Geometric Measure Theory in infinite-dimensional Banach spaces. The framework is given by an abstract Wiener space, that is a separable Banach space endowed with a centered Gaussian measure. The focus of the paper is on the theory of sets with finite perimeter and on their properties; this choice was motivated by the fact that most of the good properties of functions of bounded variation can be obtained, thanks to coarea...
Some functionals on sets of stationary codes
Some problems for measures on non-standard algebraic structures
Nell'ultimo ventennio tutta una serie di lavori è stata rivolta allo studio delle misure su strutture algebriche più generali delle algebre di Boole, come i poset e i reticoli ortomodulari, le effect algebras, le BCK-algebras. La teoria così ottenuta interessa l'analisi funzionale, il calcolo delle probabilità e la topologia, più recentemente la teoria delle decisioni. Si presentano alcuni risultati relativi a misure su strutture algebriche non-standard analizzando, in particolare, gli aspetti topologici...
Some problems in measure theory
Some Remarks on Countably Determined Measures and Uniform Distribution of Sequences.
Some remarks on density points and the uniqueness property for invariant extensions of the Lebesgue measure
Some remarks on Gleason measures
This work is devoted to generalizing the Lebesgue decomposition and the Radon-Nikodym theorem to Gleason measures. For that purpose we introduce a notion of integral for operators with respect to a Gleason measure. Finally, we give an example showing that the Gleason theorem does not hold in non-separable Hilbert spaces.
Some results on sets of positive measure in a metric space
Some topologies on the set of lattice regular measures.
Sommes vectorielles d'ensembles de mesure nulle
Soit un groupe localement compact abélien ou un groupe de Lie et un compact parfait de . Il existe alors un compact de mesure de Haar nulle tel que soit d’intérieur non vide. En particulier si est métrisable, les seuls ensembles analytiques tels que soit de mesure nulle dès que l’est, sont dénombrables.
Special measures and repleteness.
ß-Shifts Have Unique Maximal Measure.
Stabile Maße auf Badrikianschen Räumen.
Stochastic Basis in Fréchet Space.