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Answer by Iosif Pinelis for Tempered distributions at non-coinciding points...
$\newcommand\R{\Bbb R}\newcommand\S{\mathcal S}$Yes, the linear mapping $f\mapsto T_f$ is injective.Indeed, suppose that $T_f=0$ for some $f\in\S(\R^{mN})$.Consider the open...
View ArticleTempered distributions at non-coinciding points and density of Schwartz...
In the previous question, I find that situation is much less favorable than expected…. So I add more details to focus on the specific case I have in mind.Let us consider the Schwartz space...
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