Geodesic
The approximation of functions in the space $C^{r}(\Omega )$ by functions of compact support, for an arbitrary open set~$\Omega $
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Investigations in the theory of differentiable functions of many variables and its applications. Part IV, Tome 117 (1972), pp. 62-74.

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@article{TM_1972_117_a4,
     author = {V. I. Burenkov},
     title = {The approximation of functions in the space $C^{r}(\Omega )$ by functions of compact support, for an arbitrary open set~$\Omega $},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {62--74},
     publisher = {mathdoc},
     volume = {117},
     year = {1972},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TM_1972_117_a4/}
}
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V. I. Burenkov. The approximation of functions in the space $C^{r}(\Omega )$ by functions of compact support, for an arbitrary open set~$\Omega $. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Investigations in the theory of differentiable functions of many variables and its applications. Part IV, Tome 117 (1972), pp. 62-74. http://geodesic.mathdoc.fr/item/TM_1972_117_a4/