@article{Hefter_Piven’_2022, title={Infinite order differential operators in the module of formal generalized functions and in a ring of formal power series}, volume={74}, url={https://umj.imath.kiev.ua/index.php/umj/article/view/6955}, DOI={10.37863/umzh.v74i6.6955}, abstractNote={<p>UDC 517.983</p> <p>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 the valuation ring of a complete non-Archimedian field and commuting with the differentiation is a differential operator of infinite order.</p>}, number={6}, journal={Ukrains’kyi Matematychnyi Zhurnal}, author={Hefter, S. L. and Piven’ , O. L.}, year={2022}, month={Jul.}, pages={784 - 799} }