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Locally Convex Final Topology, Topology of \(\mathcal D(\Omega ) \)

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Abstract

The topic of this chapter is of interest because of its applications to function spaces occurring in partial differential equations. In particular, we describe a neighbourhood base of zero for the space \(\mathcal D(\Omega )\) of ‘test functions’.

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References

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Voigt, J. (2020). Locally Convex Final Topology, Topology of \(\mathcal D(\Omega ) \) . In: A Course on Topological Vector Spaces. Compact Textbooks in Mathematics. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-32945-7_10

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