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The bulk reconstruction formula for a Euclidean anti-de Sitter space isdirectly related to the inverse of the Gel'fand-Graev-Radon transform.Correlation functions of a conformal scalar field theory in the boundary arethereby related to correlation functions of a self-interacting scalar fieldtheory in the bulk at different loop orders.

Bulk reconstruction in AdS and Gel'fand-Graev-Radon Transform