Fourier Series of Radial Functions in Se
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M.A. Pinsky; N.K. Stanton; P.E. Trapa
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Article
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1993
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Elsevier Science
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English
โ 586 KB
We prove that the spherical partial sums of the Fourier series of the indicator function of a ball inside the cube of width \(2 \pi\) converge at the center of the ball if and only if the dimension is strictly less than three. For more general radial functions in three dimensions we give a necessary