Partial densities on the group of integers
Conditions are obtained under which a partial density on the group of integers with the discrete topology can be extended to a density.
Partial differential systems of generalized Wiener and Feynman integrals
Physical states on quantum logics. I
Poincaré inequality for some measures in Hilbert spaces and application to spectral gap for transition semigroups
Poincaré's recurrence theorem for set-valued dynamical systems
Abstract. The existence theorem of an invariant measure and Poincare's Recurrence Theorem are extended to set-valued dynamical systems with closed graph on a compact metric space.
Pointwise limits for sequences of orbital integrals
In 1967, Ross and Stromberg published a theorem about pointwise limits of orbital integrals for the left action of a locally compact group G on (G,ρ), where ρ is the right Haar measure. We study the same kind of problem, but more generally for left actions of G on any measure space (X,μ), which leave the σ-finite measure μ relatively invariant, in the sense that sμ = Δ(s)μ for every s ∈ G, where Δ is the modular function of G. As a consequence, we also obtain a generalization of a theorem of Civin...
Poisson Random Fields with Control Measures. I
Portsetzung eines verallgemeinerten Daniell integrals auf einem o-topologischen σ-Verband mit Werten in einer Verbandsgruppe
Positive functionals and the axiom of choice
Positive vector measures with given marginals
Suppose is an ordered locally convex space, and Hausdorff completely regular spaces and a uniformly bounded, convex and closed subset of . For , let . Then, under some topological and order conditions on , necessary and sufficient conditions are established for the existence of an element in , having marginals and .
Positivity principle for more concentrated measures.
Prevalence of some known typical properties.
Probabilités cylindriques et processus linéaires
Probability measures with big kernels.
Problème des moments -dimensionnel ; mesures quasi-spectrales et semi-groupes
Problèmes ergodiques dans la théorie quantique des champs
Processus canoniquement mesurables (ou : Doob avait raison)
Processus de Markov et désintégrations régulières
Un théorème classique exprime qu’à partir d’un semi-groupe d’opérateurs sur l’espace des fonctions continues tendant vers 0 à l’infini, , , , continue, , on peut construire un processus markovien “standard”, à trajectoires réglées et continues à droite, quasi-continu à gauche ; l’espace des états est supposé localement compact à base dénombrable d’ouverts. Nous supposons ici que l’espace des états est seulement universellement mesurable dans un souslinien complètement régulier ; le processus...
Prodistributions
Product decomposition of idempotent measures on compact semigroups