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Let $\\mathcal{H}$ be the space of complex valued locally constant functions on $G$ with compact support. For any $f\\in \\mathcal{H} ,t\\in T_{reg}$ we define $I_t(f)=\\int_{G/T}f(\\bar gt\\bar g^{-1})dg/dt$. Let $P$ be the set of conjugacy classes of unipotent elements in $G$. 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