2000/05/31 by Ya-Qing Li, Yaqing Li, Li, Ya-Qing
Mathematics · #Advanced Mathematical Identities #Combinatorics (math.CO) #FOS: Mathematics #Functional Analysis (math.FA) #Logic (math.LO) #Mathematical Approximation and Integration #Mathematical functions and polynomials #math.CO #math.FA #math.LO
paper · pdf · doi:10.48550/arxiv.math/0005297
Latex. To appear in Hiroshima Math. J
arxiv created 2000/05/31 · openalex publication_date 2000/05/31 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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) =\dfrac12πρ δ(x1,..., xn) mod infinitesimals where ρ is a positive infinitesimal. Moreover two combinatorial identities are obtained as byproducts.