On convolutions on configuration spaces. I. Spaces of finite configurations

• Date: 2012
• Main Authors: Finkelshtein, D. L., Фінкельштейн, Д. Л.
• Format: Article
• Language: Ukrainian; English
• Published: Institute of Mathematics, NAS of Ukraine 2012
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/2680
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We consider two types of convolutions ($\ast$ and $\star$) of functions on spaces of finite configurations (finite subsets of a phase space) and study some of their properties. A relationship between the $\ast$-convolution and the convolution of measures on spaces of finite configurations is descri...