The process of two pion production in the electron-polarized proton scattering is investigated. In the Weizsacker-Williams approximation the differential spectral distributions and the spin-momentum correlations are considered. The spin correlation effects caused by $rho$-meson widths are estimated to be of an order of several per cent. Both channels of the $pi^+pi^-$ and $pi^+pi^0$ creation are considered. The effects of intermediate excited baryons are not considered. The spectral distributions on pion energy fractions in polarized and unpolarized cases are presented analytically and numerically.
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