Dear All
Thanks a lot Maria Roginskala. please help me with the following
questions :
1-As I know when $G$ is a compact group then the Haar measure $\mu$
does belong to $M(G)$. Is it true when $G$ is a locally comapct abelian
group?
2-Let $G$ is a locally compact abelian group. if we prove that Haar
measure $\mu$ that is restircted to a relatively compact open subset
of $G$ , say $U$ , is not discrete , can we conclude that $\mu$ is not
discrete for the group $G$?
I wish to hear from whom can give his or her comments very soon.
Best Regards
Fatima