In [1] Bhattacharya has shown that the sequence of the n-fold convolution powers of a probability measure μon a compact connected group G converges in the norm exponentially fast to the normed Haar measure ?? if ?? has a nonzero ??-absolutely conti...
In [1] Bhattacharya has shown that the sequence of the n-fold convolution powers of a probability measure μon a compact connected group G converges in the norm exponentially fast to the normed Haar measure ?? if ?? has a nonzero ??-absolutely continuous part for some κ∈N. Our main purpose in this article is that ??=?? for a symmetirc ??-absolutely continuous probability measure on G.