International Journal of Mathematics and Mathematical Sciences
Volume 21 (1998), Issue 4, Pages 625-636
doi:10.1155/S016117129800088X

Regularization of distributions

Abstract

We give a simple necessary and sufficient condition for the existence of distributional regularizations. Our results apply to functions and distributions defined in the complement of a point, in one or several variables. We also consider functions defined in the complement of a hypersurface. We apply these results to the existence of distributional boundary values of harmonic and analytic functions.