- #1
wayneckm
- 68
- 0
Hi there,
Recently I have come across a proof with application of characteristic function.
After some steps in the proof, it concluded that there is a neighborhood of 0 such that the characteristic function is constant at 1, then it said the characteristic function is constant at 1 everywhere over the domain.
I suspect that "If there exists a neighborhood of 0 such that the characteristic function is constant, it is constant everywhere." Is this correct?
I have tried to search from the web regarding this but found nothing. Would anyone suggest me some good reference on characteristic function as well.
Thanks.
Wayne
Recently I have come across a proof with application of characteristic function.
After some steps in the proof, it concluded that there is a neighborhood of 0 such that the characteristic function is constant at 1, then it said the characteristic function is constant at 1 everywhere over the domain.
I suspect that "If there exists a neighborhood of 0 such that the characteristic function is constant, it is constant everywhere." Is this correct?
I have tried to search from the web regarding this but found nothing. Would anyone suggest me some good reference on characteristic function as well.
Thanks.
Wayne