Operator relations characterizing higher-order differential operators

Włodzimierz Fechner, Eszter Gselmann, Aleksandra Świątczak

Let $r$ be a positive integer, $N$ be a nonnegative integer and $\Omega \subset {\mathbb{R}}^r$ be a domain. Further, for all multi-indices $\alpha \in {\mathbb{N}}^r$, $|\alpha |\le N$, let us con…