On norm almost periodic measures
Faculty Advisor
Date
2021
Keywords
almost periodic measures, Lebesgue decomposition
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. On norm almost periodic measures. Mathematische Zeitschrift. 299, 233–255 (2021). https://doi.org/10.1007/s00209-020-02671-w
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