Geodesic
Norm Convergence of Riesz-Bochner Means For Radial Functions
Canadian journal of mathematics, Tome 27 (1975) no. 1, pp. 176-185

Voir la notice de l'article provenant de la source Cambridge University Press

It is well known now that certain spherical methods in k (≧2) dimensions are rather poor for reconstructing a function from its Fourier transform. Consider a function f in L1(Rk), k ≧ 2, and where both integrals are integrals in Rk, the first over the whole space the second over the ball of radius R; x • y is the usual Euclidean inner product of x and y in Rk and \z\2 = z • z. 
Welland, G. V. Norm Convergence of Riesz-Bochner Means For Radial Functions. Canadian journal of mathematics, Tome 27 (1975) no. 1, pp. 176-185. doi: 10.4153/CJM-1975-023-1
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