The harmonic product of δ(x_1, n) and δ(x_1) and two combinatorial identities

摘要

In the framework of nonstandard analysis, Bang-He Li and the author defined the product of any two distributions on R~n via their harmonic representations. The product of δ(x_1,x_n_ and δ(x_1) was calculated by Kuribayashi and the author in [LK].