On the Fourier transformability of strongly almost periodic measures
| dc.contributor.author | Strungaru, Nicolae | |
| dc.date.accessioned | 2021-01-15 | |
| dc.date.accessioned | 2022-05-31T01:43:06Z | |
| dc.date.available | 2022-05-31T01:43:06Z | |
| dc.date.issued | 2017 | |
| dc.description.abstract | In this paper we characterize the Fourier transformability of a strongly almost periodic measure in terms of an integrability condition for its Fourier Bohr series. We also provide a necessary and sufficient condition for a strongly almost periodic measure to be a Fourier transform of a measure. We discuss the Fourier transformability of a measure on $\RR^d$ in terms of its Fourier transform as a tempered distribution. We conclude by looking at a large class of such measures coming from the cut and project formalism. | |
| dc.format.extent | 322.85KB | |
| dc.format.mimetype | ||
| dc.identifier.citation | Strungaru, N. (2017). On the Fourier transformability of strongly almost periodic measures. arXiv:1704.04778v2. https://arxiv.org/abs/1704.04778 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14078/2136 | |
| dc.language | English | |
| dc.language.iso | en | |
| dc.rights | All Rights Reserved | |
| dc.subject | almost periodic measures | |
| dc.subject | Fourier-Bohr series | |
| dc.subject | Eberlein decomposition | |
| dc.subject | Fourier transform of measures | |
| dc.title | On the Fourier transformability of strongly almost periodic measures | en |
| dc.type | Report | |
| dspace.entity.type |
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