Kronecker sets and metric properties of $M\sb{0}$-sets

Robert Kaufman
1972 Proceedings of the American Mathematical Society  
A method for constructing both sets of multiplicity and Kronecker sets within a given set of multiplicity is derived from the work of Ivashev-Musatov; it is shown that the Hausdorff measures and other measures are essentially distinct. Finally, an improvement of a theorem of Salem is obtained, using Pyateckii-Shapiro's theorem on non-M sets.
doi:10.1090/s0002-9939-1972-0310540-4 fatcat:wr2nni2xibf7pj3nfbs6xyh3py