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Young Women in Harmonic Analysis and PDE

December 2-4, 2016

Jelena Rupčić (University of Zagreb)

On convergence of nonlinear analogues of trigonometric series

We study nonlinear analogues of trigonometric series which can be considered as products of matrices in the group SU(1,1). Nonlinear analogues of lacunary trigonometric series are presented and different types of convergence are discussed. Precisely, we introduce a new metric and then study convergence with respect to that metric. In addition, convergence a.e. is studied and so far obtained results are explained.

This is a joint work with Vjekoslav Kovač from the University of Zagreb.