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This note attempts to study lacunary trigonometric products with values in the matrix group   \begin{document}$  \rm{SU}(1,1) $\end{document}   in analogy with lacunary trigonometric series. The central questions are the characterization of their convergence in an appropriately defined   \begin{document}$  \rm{L}^p $\end{document}  -metric and the characterization of their convergence almost everywhere. These can be interpreted as nonlinear analogues of the classical results by Zygmund and Kolmogorov.

Convergence of lacunary SU(1, 1)-valued trigonometric products