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I know that the order of any distribution of compact support is finite. Is this true in the case of ultra distribution of compact support ( dual of Denjoy-Carleman space)?

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    $\begingroup$ If an ultradistribution is of finite order, then it is automatically a distribution. $\endgroup$
    – bathalf15320
    Commented Sep 19, 2020 at 16:14
  • $\begingroup$ Thank you. I see it now. $\endgroup$
    – Jem Y
    Commented Sep 20, 2020 at 13:48

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