Gyrogroups have been used in the theory of signal processing:

M. Ferreira, <A HREF="https://arxiv.org/abs/0706.1956">Spherical continuous wavelet transforms arising from sections of the Lorentz
group.</A> [<A HREF="https://www.sciencedirect.com/science/article/pii/S1063520308000523">paywall version</A>]