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Fourier's Constants of Functions of Several Variables

✍ Scribed by W. W. Küstermann


Book ID
124029886
Publisher
John Hopkins University Press
Year
1917
Tongue
English
Weight
838 KB
Volume
39
Category
Article
ISSN
0002-9327

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📜 SIMILAR VOLUMES


Fourier Series of Radial Functions in Se
✍ M.A. Pinsky; N.K. Stanton; P.E. Trapa 📂 Article 📅 1993 🏛 Elsevier Science 🌐 English ⚖ 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