广义函数的科洛姆博乘积
Colombeau products of distributions.
作者信息
Miteva Marija, Jolevska-Tuneska Biljana, Atanasova-Pacemska Tatjana
机构信息
Faculty of Computer Science, University Goce Delcev-Stip, Stip, Republic of Macedonia.
Faculty of Electrical Engineering and Information Technologies, Ss. Cyril and Methodius University, Skopje, Republic of Macedonia.
出版信息
Springerplus. 2016 Nov 29;5(1):2042. doi: 10.1186/s40064-016-3742-8. eCollection 2016.
In this paper, some products of distributions are derived. The results are obtained in Colombeau algebra of generalized functions, which is the most relevant algebraic construction for dealing with Schwartz distributions. Colombeau algebra [Formula: see text] contains the space [Formula: see text] of Schwartz distributions as a subspace, and has a notion of 'association' that allows us to evaluate the results in terms of distributions.
本文推导了一些分布的乘积。结果是在广义函数的科隆博代数中得到的，这是处理施瓦茨分布最相关的代数结构。科隆博代数$\mathcal{G}$包含施瓦茨分布空间$\mathcal{D}'$作为子空间，并且有一个“关联”的概念，使我们能够根据分布来评估结果。
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