Convergence of lacunary SU(1,1)-valued trigonometric products (CROSBI ID 276246)
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Podaci o odgovornosti
Rupčić, Jelena
engleski
Convergence of lacunary SU(1,1)-valued trigonometric products
This note attempts to study lacunary trigonometric products with values in the matrix group SU(1, 1) in analogy with lacunary trigonometric series. The central questions are the characterization of their convergence in an appropriately defined Lp-metric and the characterization of their convergence almost everywhere. These can be interpreted as nonlinear analogues of the classical results by Zygmund and Kolmogorov.
Nonlinear Fourier analysis ; matrix product ; lacunary trigonometric series ; convergence in mean ; convergence almost everywhere
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Podaci o izdanju
19 (3)
2020.
1275-1289
objavljeno
1534-0392
1553-5258
10.3934/cpaa.2020062