Journal of the
Korean Mathematical Society JKMS

We show that the Fourier-Laplace series of a distribution on the sphere is uniformly Ces\`aro-summable to zero on a neighborhood of a point if and only if this point does not belong to the support of the distribution. Similar results on the ball and on the real projective space are also proved.

Keywords: distribution, sphere, Fourier-Laplace series, Cesaro summability

MSC numbers: Primary 46F12, Secondary 42C10