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Timeline for Asymptotics of "heat" semigroup

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Aug 3, 2016 at 14:17 comment added SMS @LiviuNicolaescu Can one say something when $f \in L^1(\Omega)$? Thanks!
Aug 3, 2016 at 14:16 comment added SMS @TerryTao Can one say something when $f \in L^1(\Omega)$? Thanks!
May 8, 2015 at 19:37 comment added Liviu Nicolaescu For any sequence $t_n\searrow 0$ there exists a subsequence $(t_{n_k})$ such that $e^{t_{n_k} L} f\to f$ a.e.
May 8, 2015 at 16:40 comment added Terry Tao I think this follows from the arguments of Stein in ams.org/mathscinet-getitem?mr=131517 .
May 8, 2015 at 15:49 comment added anonymous @NateEldredge Sorry about that, edited as per Robert Israel's comments.
May 8, 2015 at 15:48 comment added anonymous @RobertIsrael Thanks, that's what I had in mind, should have been more precise.
May 8, 2015 at 15:48 history edited anonymous CC BY-SA 3.0
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May 8, 2015 at 15:34 comment added Robert Israel Presumably it should be pointwise almost everywhere.
May 8, 2015 at 15:28 comment added Nate Eldredge If $f \in L^2$ then $f$ is not well defined pointwise, so asking for pointwise convergence doesn't make sense.
May 8, 2015 at 15:09 comment added anonymous @NateEldredge Apriori I would want $f \in L^2(\Omega)$, if such a result is possible.
May 8, 2015 at 15:04 comment added Nate Eldredge What are you assuming about $f$?
May 8, 2015 at 14:54 review First posts
May 8, 2015 at 15:45
May 8, 2015 at 14:52 history asked anonymous CC BY-SA 3.0