deletions | additions       diff --git a/untitled.tex b/untitled.tex  index 09157fd..9eee6fe 100644  --- a/untitled.tex  +++ b/untitled.tex 
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\Biggr\{  V_{\beta k} V_{\gamma q}^{*} [G^>_{\beta\gamma}(\epsilon_1) G^{h,<}_{qk}(\epsilon_2) - G^{>}_{\beta q}(\epsilon_1)G^{h,<}_{\gamma k}(\epsilon_2)]  + V_{\beta k}^{*}V_{\gamma q} [G^{>,t}_{kq}(\epsilon_1) G^{<}_{\gamma\beta}(\epsilon_2) - G^{h,>}_{k\gamma}(\epsilon_1)G^{<}_{q \beta}(\epsilon_2)]\Biggr\}\,,  \end{multline} Now we enter the expression for $G_{kq}^{h,t}(t,t')$ in the frequency domain  \begin{equation}  G_{kq}^{h,t}(\omega) = G_{kq}^{h,t}(\epsilon)\delta_{kq} + \sum_{\beta\gamma} g_{k}^{h,t}(\omega) V_{\gamma k} G^{t}_{\gamma\beta}(\omega)V_{\beta q}^* g_{q}^{h,t}(\omega)  \end{equation}