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This paper constructs explicit boundary normal dilation for a triple $(A,B,P)$ of commuting bounded operators which has $\\bar{E}$ as a spectral set.\n  We show that the dilation is minimal and unique under a certain natural condition. 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This paper constructs explicit boundary normal dilation for a triple $(A,B,P)$ of commuting bounded operators which has $\\bar{E}$ as a spectral set.\n  We show that the dilation is minimal and unique under a certain natural condition. 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