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Keywords:
distribution; sphere; Fourier-Laplace series; Abel summability
distribution; sphere; Fourier-Laplace series; Abel summability
Summary:
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 $.
References:
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