Abstract:
The space $\mathcal{D}^k$ of $k$th-order linear differential operators on $\mathbb{R}$ is equipped with a natural two-parameter family of structures of $\operatorname{Diff}(\mathbb{R})$-modules. To specify this family,
one considers the action of differential operators on tensor densities. We give a classification of these modules.
Citation:
H. Gargoubi, V. Yu. Ovsienko, “Modules of Differential Operators on the Real Line”, Funktsional. Anal. i Prilozhen., 35:1 (2001), 16–22; Funct. Anal. Appl., 35:1 (2001), 13–18