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Renormalizability of phi4 theory in space-time of covering of anti-de Sitter type.

A direct and simple procedure is given for the renormalization of scalar field theory with {phi}{sup 4} self-interaction in a space-time of covering of anti--de Sitter type. It is shown that such a theory is renormalizable if proper boundary conditions at spatial infinity are imposed. Effects due to wave reflection at spatial infinity are taken into account.