On norm almost periodic measures

Author
Spindeler, Timo
Strungaru, Nicolae
Faculty Advisor
Date
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
DOI
Notes
Item Type
Report
Language
English
Rights
All Rights Reserved