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Apr 24, 2018 at 10:54 comment added Li Yutong Thank you! For my first question, perhaps I did not state it clearly. Let's consider a complex manifold, so the orientation is not a problem. Smooth $(n-p)$-forms are certainly lie in the set of functionals of $D^{' p}(M)$, but I am curious are they the only possibilities?
Apr 24, 2018 at 10:11 history answered Peter Michor CC BY-SA 3.0