Noun
Radon measure (plural Radon measures)
(mathematics) A measure on the σ-algebra of Borel sets of a Hausdorff space that is locally finite and inner regular.
Conversely, as shown in a theorem by Schwartz (similar to the Riesz representation theorem ), every distribution which is non-negative on non-negative functions is of this form for some (positive) Radon measure. Source: Internet
In a similar manner, every Radon measure μ on U defines an element of D′(U) whose value on the test function φ is ∫φ dμ. Source: Internet