Spindeler, TimoStrungaru, Nicolae2021-01-182022-05-312022-05-312019Spindeler, T., & Strungaru, N. (2019). On norm almost periodic measures. arXiv:1810.09490v2. https://arxiv.org/abs/1810.09490https://hdl.handle.net/20.500.14078/2142In 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.265.98KBPDFenAll Rights Reservedalmost periodic measuresReport