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

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...

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Bibliographic Details
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
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal