Saeki extended the F. and M. Riesz theorem to $\mathbb{R}^N$ $(N \geqq 2)$, and Takahashi extended Saeki"s result to a LCA group. We give a result, which is relevant to theirs. We also give a strong version of Bochner"s generalization of the F. and M. Riesz theorem.
Hokkaido Math. J.
38(3):
497-510
(August 2009).
DOI: 10.14492/hokmj/1258553973
