On the summability of Fourier integrals by Riesz spherical means

In this report criteria are given for the pointwise summability by Riesz spherical means of order $\delta\in\bigl(\frac{N-3}2,\frac{N-1}2\bigr]$ of $N$-fold Fourier integrals and conjugate integrals. Conjugation is understood in the sense of Calderón and Zygmund.
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