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arXiv · 2304.08358

Integral representation of functions on the circle

Giuliano Basso
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Abstract

We give a complete characterization of all real-valued functions on the unit circle $S^1$ that can be represented by integrating the spherical distance on $S^1$ with respect to a signed measure or a probability measure.

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Giuliano Basso. 2023-04-17. Integral representation of functions on the circle. https://doi.org/10.14321/realanalexch.49.2.1698890384

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