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http://dx.doi.org/10.4134/JKMS.2004.41.4.755

FOURIER INVERSION OF DISTRIBUTIONS ON THE SPHERE  

A, Francisco Javier Gonzalez Vieli (EPFL/SB/IACS 1015 Lausanne Switzerland)
Publication Information
Journal of the Korean Mathematical Society / v.41, no.4, 2004 , pp. 755-772 More about this Journal
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.
Keywords
distribution; sphere; Fourier-Laplace series; Cesaro summability;
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