The space is from Schwartz space $S$ or the space of all smooth functions of compact support $D$.
Can you say anything about how many times the test function is differentiable from this?
I think that no, but not completely sure.
2026-04-06 21:26:06.1775510766
Differentiability of smooth functions
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"Smooth" means that the function is differentiable as many times as you want.