  The non-singlet and singlet anomalous dimensions of the twist--2 light-ray
operators for unpolarized and polarized deep inelastic scattering are
calculated in $O(\alpha_s)$. We apply these results for the derivation of
evolution equations for partition functions, structure functions, and wave
functions which are defined as Fourier transforms of the matrix elements of the
light-ray operators. Special cases are the Altarelli-Parisi and Brodsky-Lepage
kernels. Finally we extend Radyushkin's solution from the non-singlet to the
singlet case.
