Spindeler, TimoStrungaru, Nicolae2023-05-092023-05-092021Spindeler, T., Strungaru, N. On norm almost periodic measures. Mathematische Zeitschrift. 299, 233–255 (2021). https://doi.org/10.1007/s00209-020-02671-whttps://hdl.handle.net/20.500.14078/3092In this paper, we study norm almost periodic measures on locally compact Abelian groups. First, we show that the norm almost periodicity of μ is equivalent to the equi-Bohr almost periodicity of μ∗g for all g in a fixed family of functions. Then, we show that, for absolutely continuous measures, norm almost periodicity is equivalent to the Stepanov almost periodicity of the Radon–Nikodym density.enAll Rights Reservedalmost periodic measuresLebesgue decompositionArticlehttps://doi.org/10.1007/s00209-020-02671-w