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

• Дата: 2012
• Автори: Finkelshtein, D. L., Фінкельштейн, Д. Л.
• Формат: Стаття
• Мова: Українська; Англійська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 2012
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/2680
• Назва журналу: 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...