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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.
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