A converse Steinhaus theorem for locally compact groups
Author: S. M. Simmons
Journal: Proc. Amer. Math. Soc. 49 (1975), 383-386
MSC: Primary 43A05; Secondary 28A70
MathSciNet review: 0370057
Abstract: Singular and absolutely continuous regular measures on locally compact groups are characterized in terms of the algebraic and topological structure of sets assigned positive measure.
-  Edwin Hewitt and Kenneth A. Ross, Abstract harmonic analysis. Vol. I, 2nd ed., Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], vol. 115, Springer-Verlag, Berlin-New York, 1979. Structure of topological groups, integration theory, group representations. MR 551496