Abstract
By a regularization at the origin is meant an extension to ℝ n of a suitable distribution initially defined off the origin. We study the regularizations of distributions when the generalized functions to be regularized have prescribed asymptotic properties. A complete description of the asymptotic properties of the regularizations is obtained.
Acknowledgements
The author gratefully acknowledges the support given by a Postdoctoral Fellowship of the Research Foundation–Flanders (FWO, Belgium).