The harmonic product of δ(x1,...,xn) and δ(x1) and two combinatorial identities ∗
نویسنده
چکیده
In the framework of nonstandard analysis, Bang-He Li and the author defined the product of any two distributions on Rn via their harmonic representations. The product of δ(x1, . . . , xn) and δ(x1) was calculated by Kuribayashi and the author in [LK]. In this paper, the result of [LK] is improved to δ(x1, . . . , xn) ◦ δ(x1) = 1 2πρ δ(x1, . . . , xn) mod infinitesimals where ρ is a positive infinitesimal. Moreover two combinatorial identities are obtained as byproducts.
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تاریخ انتشار 2000