# American Institute of Mathematical Sciences

March  2020, 19(3): 1275-1289. doi: 10.3934/cpaa.2020062

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

 Faculty of Transport and Traffic Sciences, University of Zagreb, Vukelićeva 4, 10000 Zagreb, Croatia

Received  March 2019 Revised  July 2019 Published  November 2019

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

Citation: Jelena Rupčić. Convergence of lacunary SU(1, 1)-valued trigonometric products. Communications on Pure & Applied Analysis, 2020, 19 (3) : 1275-1289. doi: 10.3934/cpaa.2020062
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