  The vector and axial pion-photon transition distribution amplitudes are
analyzed in the Spectral Quark Model. We proceed by the evaluation of double
distributions through the use of a manifestly covariant calculation based on
the alpha representation of propagators. As a result polynomiality is
incorporated and calculations become rather simple. Explicit formulas, holding
at the low-energy quark-model scale, are obtained. The corresponding form
factors for the anomalous decay pi0 -> gamma gamma* and the radiative pion
decays are also evaluated and confronted with the data.
