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Jan 2, 2022 at 18:08 comment added Branimir Ćaćić In general, though, if you’re happy working with rapidly decaying smooth functions on $\mathbb{R}^n$ (beyond just compactly supported smooth functions), you can very profitably analyse the Dirac operator on Euclidean $\mathbb{R}^n$ and its functional calculus using the Fourier transform.
Jan 2, 2022 at 17:55 comment added Branimir Ćaćić This will be the case, at least in the case of Euclidean $\mathbb{R}^n$—see, e.g., this Math.SE thread.
Jan 2, 2022 at 17:31 vote accept Isaac
Jan 2, 2022 at 17:28 comment added Isaac Thank you. Then, does the closure of $D^2$ have the domain as $H^2$ then?
Jan 2, 2022 at 15:51 history edited Branimir Ćaćić CC BY-SA 4.0
typos corrected
Jan 2, 2022 at 14:48 history answered Branimir Ćaćić CC BY-SA 4.0