EDWARD J. BELTRAMI, Pointwise and Norm Convergence of Distributions, Journal of Mathematics and Mechanics, Vol. 14, No. 1 (January, 1965), pp. 99-107 ...

Pointwise Convergence: A mode of convergence in function spaces where convergence is determined by the behaviour of functions at each individual point.

In this paper the relation between weak convergence of a sequence of measures and uniform convergence over certain classes of continuity sets (or uniform convergence of the integrals over certain ...