We prove for every non-abelian compact connected group G there is a continuous, singular, central measure μ with μ * μ in Lp for all p, 1 ≤ p ≤ ∞. We also construct such measures on some families of non-abelian compact totally disconnected groups. These results settle an open question of Ragozin.
ASJC Scopus subject areas
- Applied Mathematics