Skip to main content
3 of 8
deleted 4 characters in body
Anand
  • 1.6k
  • 2
  • 22
  • 33

Can singular continuous functions be viewed as vanishing distributions?

Hello,

The question might be too naive. I am just not very confident about it. Let $f$ be a singular continuous function on $R$. We have $\int f \psi d x=0$ for any $\psi\in\mathcal{D}(R)$. So the singular functions are vanishing distributions. Am I right?

Thank you very much for any hints!

Anand

p.s. this is related to my previous post.

Anand
  • 1.6k
  • 2
  • 22
  • 33