Gyrogroups have been used in the theory of signal processing:

M. Ferreira, <A HREF="https://arxiv.org/abs/0706.1956v3">Spherical continuous wavelet transforms arising from sections of the Lorentz
group.</A> [<A HREF="https://doi.org/10.1016/j.acha.2008.04.005">paywall version</A>]