Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. Join them; it only takes a minute:

Sign up
Here's how it works:
  1. Anybody can ask a question
  2. Anybody can answer
  3. The best answers are voted up and rise to the top

Is this true?

Any compactly supported distribution $T\in \cal D'$ can be represented as finite sum of partial derivatives of functions.

share|cite|improve this question
If $T$ is compactly supported, then $T$ can be extended to the space of infinitely differentiable function, and hence have a finite order. – Davide Giraudo May 2 '12 at 17:50
What do you mean exactly by sum of partial derivatives of functions? – Davide Giraudo May 2 '12 at 19:18
I found the answer here.…;, It is a theorem of Schwarz's. – Yimin May 2 '12 at 19:25
The link doesn't work. – Davide Giraudo May 2 '12 at 20:59
Eh...maybe you need to edit the link, just to retype the ".pdf", it is strange because the link is… – Yimin May 3 '12 at 1:45

Your Answer


By posting your answer, you agree to the privacy policy and terms of service.

Browse other questions tagged or ask your own question.