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