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Norms of powers of absolutely convergent Fourier series of several variables

✍ Scribed by Charles H. Heiberg


Publisher
Elsevier Science
Year
1973
Tongue
English
Weight
725 KB
Volume
14
Category
Article
ISSN
0022-1236

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Fourier Series of Radial Functions in Se
✍ M.A. Pinsky; N.K. Stanton; P.E. Trapa πŸ“‚ Article πŸ“… 1993 πŸ› Elsevier Science 🌐 English βš– 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