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arXiv · 1704.04778

On the Fourier Transformability of Strongly Almost Periodic Measures

Nicolae Strungaru
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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.

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BibTeXRIS

Nicolae Strungaru. 2017-04-16. On the Fourier Transformability of Strongly Almost Periodic Measures. https://doi.org/10.4153/s0008414x19000075

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