  The Fourier transform is naturally defined for integrable functrions.
Otherwise, it should be stipulated in which sense the Fourier transform is
understood. We consider some class of radial and, generally saying,
nonintegrable functions. The Fourier transform is calculated as an improper
integral and the limit coincides with the Fourier transform in the
distributional sense. The inverse Fourier formula is proved as well. Given are
some applications of the result obtained.
