On some conditions which imply the continuity of almost all sections
Let be an open interval, a topological space and a metric space. Some local conditions implying continuity and quasicontinuity of almost all sections of a function are shown.
On submeasures. II.
On the additivity of Gudder integral
On the Basic Extension Theorem in Measure Theory.
On the Carathéodory method of the extension of measures and integrals
On the connection between Hausdorff measures and generalized capacity
On the continuity of certain non-additive set functions
On the density maxima of a function
On the Existence of Pathological Submeasures and the Construction of Exotic Topological Groups.
On the Functional Equation f(x)g(y) = ...hi(aix + biy).
On the Integration of Radon Measures and Set Functions.
On the measure of measurable sets of integers
On the permeability of submeasures on finite algebras
On the theorem of Gauss-Kusmin-Lévy and a Frobenius-type theorem for function spaces
On the theorem of Ivasev-Musatov. I
We give a new version of Ivasev-Musatov’s construction of a measure whose support has Lebesgue measure zero but whose Fourier transform drops away extremely rapidly.
On the theorem of Ivasev-Musatov. II
As in Part I [Annales de l’Inst. Fourier, 27-3 (1997), 97-113], our object is to construct a measure whose support has Lebesgue measure zero, but whose Fourier transform drops away extremely fast.
Order properties of the space of finitely additive transition functions.
Outer Measures on Topological Spaces