On convolution squares of singular measures
Volume 100 / 2004
Colloquium Mathematicum 100 (2004), 9-16
MSC: Primary 43A05, 43A50.
DOI: 10.4064/cm100-1-2
Abstract
We prove that for every compact, connected group $G$ there is a singular measure $\mu $ such that the Fourier series of $\mu *\mu $ converges uniformly on $G$. Our results extend the earlier results of Saeki and Dooley–Gupta.
