Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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FOURIER INVERSION OF DISTRIBUTIONS ON THE SPHERE

  • Published : 2004.07.01
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Abstract

We show that the Fourier-Laplace series of a distribution on the sphere is uniformly Cesaro-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.

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References

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Cited by

  1. Abel means for orthogonal expansions of distributions on spheres, balls and simplices vol.433, pp.1, 2016, https://doi.org/10.1016/j.jmaa.2015.08.006