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λ-Divergence of the Fourier Series of Continuous Functions of Several Variables

✍ Scribed by A. N. Bakhvalov


Book ID
110396448
Publisher
SP MAIK Nauka/Interperiodica
Year
2002
Tongue
English
Weight
175 KB
Volume
72
Category
Article
ISSN
0001-4346

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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