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In this paper the authors present the result of a direct QCD sum rule calculation of the transition form factor??{sup *} →?° in the region of moderately large invariant momentum Q2> 1GeV2 of the virtual photon. In contrast to pQCD, they make no assumptions about the shape of the pion distribution amplitude {var_phi}{sub?}(x). Their results agree with the Brodsky-Lepage proposal that the Q2-dependence of this form factor is given by an interpolation between its Q2=0 value fixed by the axial anomaly and 1/Q2 pQCD behavior for large Q2, with normalization corresponding to the asymptotic form {var_phi}{sub pi}{sup as}(x)=6 f{sub {pi}}x(1-x) of the pion distribution amplitude. Their prediction for the from factor F{sub?}{sup *}{gamma}{sup *}{pi}°(q12 = 0,q22 = -Q2) is in good agreement with new CLEO data.