The harmonic product of δ(x1,..., xn) and δ(x1) and two combinatorial identities
Ya-Qing Li
Abstract
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) =12πρ δ(x1,..., xn) mod infinitesimals where ρ is a positive infinitesimal. Moreover two combinatorial identities are obtained as byproducts.
Create a lesson
Related papers
Independent Backward Preimages and Algebraic Radial Decompositions of Operators
Zakariae Aznay, Fadil Chabbabi, Hassan Zariouh
Spectral and mapping properties of the inverse Ornstein--Uhlenbeck operator
Tommaso Bruno, Valentina Casarino, Paolo Ciatti et al.
Dual Banach spaces with AP but without BAP
Longfa Sun, Zhenguo Wei, Zhendong Xu et al.
Real alternative Daugavet property without Daugavet property in a separable complex Banach space
Jinghao Huang, Ran Xu
Nonisomorphic separable Banach spaces at Lipschitz distance one
Ryotaro Tanaka
Szegő quasiforms: a Schottky-scheme construction for vertex operator superalgebras
A. Zuevsky