Sine functions on compact commutative hypergroups (Q315692)
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scientific article; zbMATH DE number 6629279
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Sine functions on compact commutative hypergroups |
scientific article; zbMATH DE number 6629279 |
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Sine functions on compact commutative hypergroups (English)
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22 September 2016
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It was conjectured by \textit{Z. Fechner} and \textit{L. Székelyhidi} [``Sine and cosine equations on commutative hypergroups'', Preprint, \url{arXiv:1510.02905}] that all sine functions on a compact hypergroup (in the sense of Dunkl, Jewett, and Spector) are identically zero. The author proves this conjecture for compact commutative hypergroups by making use of the corresponding Fourier analysis.
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hypergroups
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moment functions
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sine functions
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martingales
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