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Results tagged with functional-calculus
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Do Degree Zero Pseudo-Differential Operators on a Manifold Send Smooth Functions to Smooth F...
As Deane Yang pointed out, in general, an elliptic operator of order $s$ maps $H^{k}\rightarrow H^{k-s}$ for functions defined on $\mathbb{R}^{n}$. The pseudo-differential operator on a compact manifo …
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