I am looking for an example of a distribution of finite order that is not a tempered distribution. Could anyone help me with an example.
It is known that any tempered distribution is of finite order.
Thanks.
2026-03-26 22:53:26.1774565606
Example a distribution of finite order which is not tempered
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The distribution corresponding to the $L^{1,loc}$ function $e^{x^2}$.