Infinite order differential operators in the module of formal generalized functions and in a ring of formal power series

• Date: 2022
• Main Authors: Hefter, S. L., Piven’ , O. L., Гефтер, С. Л., Півень, О. Л.
• Format: Article
• Language: Ukrainian
• Published: Institute of Mathematics, NAS of Ukraine 2022
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/6955
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

UDC 517.983 We obtain the general form of continuous linear mappings acting in the module of formal generalized functions over a commutative ring and commuting with the differentiation or shift operator. We also prove that a continuous linear mapping acting in the ring of formal power series over th...