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Limits of norms of powers of absolutely convergent Fourier series in several variables

โœ Scribed by Charles H. Heiberg


Publisher
Elsevier Science
Year
1979
Tongue
English
Weight
455 KB
Volume
72
Category
Article
ISSN
0022-247X

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Fourier Series of Radial Functions in Se
โœ M.A. Pinsky; N.K. Stanton; P.E. Trapa ๐Ÿ“‚ Article ๐Ÿ“… 1993 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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