On the one hand, Wikipedia suggests that every distribution defines a Radon measure:
- http://en.wikipedia.org/wiki/Distribution_(mathematics)#Functions_as_distributions (revision from February 2010, March 2010 and November 2024)
On the other hand, Terry Tao and LK suggest not:
- https://www.math.ucla.edu/~tao/preprints/distribution.pdf
- When can a function be recovered from a distribution?
Can someone please clarify this for me?