Abstract
The space \(D^k\) of kth-order linear differential operators on \(\mathbb{R}\) is equipped with a natural two-parameter family of structures of 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.
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Gargoubi, H., Ovsienko, V. Modules of Differential Operators on the Real Line. Functional Analysis and Its Applications 35, 13–18 (2001). https://doi.org/10.1023/A:1004116431929
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DOI: https://doi.org/10.1023/A:1004116431929