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\end{equation}  The total one is then $N=N^>+N^<$. We start with $N^>$ that reads  \begin{eqnarray}  G^>_{\beta q}(t,t') = \frac{1}{h} \sum_\gamma \int dt_1 [G_{\beta\gamma}^r(t,t_1) V_{\gamma q} g^{>}_{q}(t_1,t')+ G_{\beta\gamma}^>(t,t_1) V_{\gamma q} g^{a}_{q}(t_1,t') g^{a}_{q}(t_1,t')]\,,  \end{eqnarray}  \begin{eqnarray}  G^{<,h}_{\gamma k}(t,t') = \frac{-1}{h} \sum_\beta \int dt_1 [G_{\gamma\beta}^r(t',t_1) V_{\beta k} g^{<,h}_{k}(t_1,t)+ G_{\gamma\beta}^<(t',t_1) V_{\beta k} g^{a,h}_{k}(t_1,t) g^{a,h}_{k}(t_1,t)].  \end{eqnarray}  In the frequency domain the product of these two functions becomes:  \begin{eqnarray}