## On norm almost periodic measures

##### Author
Spindeler, Timo
Strungaru, Nicolae
2019
##### Keywords
almost periodic measures
##### Abstract (summary)
In 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.
##### Publication Information
Spindeler, T., & Strungaru, N. (2019). On norm almost periodic measures. arXiv:1810.09490v2. https://arxiv.org/abs/1810.09490
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