Geodesic
Pointwise Fourier inversion of distributions on spheres
Czechoslovak Mathematical Journal, Tome 67 (2017) no. 4, pp. 1059-1070

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Given a distribution $T$ on the sphere we define, in analogy to the work of Łojasiewicz, the value of $T$ at a point $\xi $ of the sphere and we show that if $T$ has the value $\tau $ at $\xi $, then the Fourier-Laplace series of $T$ at $\xi $ is Abel-summable to $\tau $.
DOI : 10.21136/CMJ.2017.0403-16
Classification : 42C10, 46F12
Keywords: distribution; sphere; Fourier-Laplace series; Abel summability 
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     title = {Pointwise {Fourier} inversion of distributions on spheres},
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González Vieli, Francisco Javier. Pointwise Fourier inversion of distributions on spheres. Czechoslovak Mathematical Journal, Tome 67 (2017) no. 4, pp. 1059-1070. doi: 10.21136/CMJ.2017.0403-16

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