TY - JOUR
AU - S. L. Hefter
AU - O. L. Piven’
PY - 2022/07/07
Y2 - 2022/08/15
TI - Infinite order differential operators in the module of formal generalized functions and in a ring of formal power series
JF - Ukrains’kyi Matematychnyi Zhurnal
JA - Ukr. Mat. Zhurn.
VL - 74
IS - 6
SE - Research articles
DO - 10.37863/umzh.v74i6.6955
UR - https://umj.imath.kiev.ua/index.php/umj/article/view/6955
AB - UDC 517.983We 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.
ER -