We find out the smearing/transfer functions that relate a local bulk operator with its boundary values at a cutoff surface located at z=z₀ of the anti--de Sitter Poincar\'e patch. We compare these results with de Sitter counterparts and comment on their connections with a corresponding construction for dS/CFT. As the boundary values can help define the required field theory at z=z₀ and encode bulk locality in terms of it, our work can provide key information about the holographic renormalization group in the context of AdS/CFT.
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Debajyoti Sarkar (2014) studied this question.
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