Before revision: Estimates of the generalization error are proved for a residual neural network with L random Fourier features layers \bar z_{\ell+1}=\bar z_\ell + \text{Re k=1^K\bar b_{\ell k}e^{  i \ell k\bar z_\ell}+ \text{Re k=1^K\bar c_{\ell k}e^{  i \omega'_{\ell k}\cdot x}.
After revision: Estimates of the generalization error are proved for a residual neural network with L random Fourier features layers \bar z_{\ell+1}=\bar z_\ell + \text{Re k=1^K\bar b_{\ell k}e^{  i \ell k\bar z_\ell}+ \text{Re k=1^K\bar c_{\ell k}e^{  \mathrm{i \omega'_{\ell k}\cdot x}.