The harmonic product of $δ(x_{1},..., x_{n})$ and $δ(x_{1})$ and two combinatorial identities
| dc.creator | Li, Ya-Qing | |
| dc.date | 2000-05-31 | |
| dc.date.accessioned | 2026-07-07T04:35:37Z | |
| dc.date.available | 2026-07-07T04:35:37Z | |
| dc.description | 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]. In this paper, the result of [LK] is improved to $$δ(x_{1},..., x_{n})\circ δ(x_{1}) =\dfrac{1}{2πρ} δ(x_{1},..., x_{n}) {mod} {infinitesimals}$$ where $ρ$ is a positive infinitesimal. Moreover two combinatorial identities are obtained as byproducts. | |
| dc.description | Latex. To appear in Hiroshima Math. J | |
| dc.identifier | https://arxiv.org/abs/math/0005297 | |
| dc.identifier | http://arxiv.org/abs/math/0005297 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/59315 | |
| dc.subject | Functional Analysis | |
| dc.subject | Combinatorics | |
| dc.subject | Logic | |
| dc.title | The harmonic product of $δ(x_{1},..., x_{n})$ and $δ(x_{1})$ and two combinatorial identities | |
| dc.type | text |