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Cesàro means of Fourier series on rotation groups

Cesàro means of Fourier series on rotation groups

We study the Cesà ro means of Fourier series on rotation groups ${\text {SO}}(3)$ and ${\text {SO}}(4)$. On these two classical groups, we solve an open question recently posted in Harmonic analysis on classical groups [Springer-Verlag, Berlin, and Science Press, Beijing, 1991].