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Feb 17, 2022 at 19:26 comment added Terry Tao If you count Sobolev embedding and elliptic regularity as "elementary", you can use these tools to show that $(1-\Delta_g)^{-s}$ has a continuous integral kernel for $s$ large enough ($s>n/2$ will suffice), and on taking traces one will obtain the claim.
Feb 17, 2022 at 18:28 history asked Ali CC BY-SA 4.0