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We prove the existence of the Bogoliubov S(g) operator for the $(:\phi^4:)_2$quantum field theory for coupling functions $g$ of compact support in space andtime. The construction is nonperturbative and relies on a theorem ofKisy\'nski. It implies almost automatically the properties of unitarity andcausality for disjoint supports in the time variable.Comment: LaTeX, 24 pages, minor modifications, typos correcte

Existence of the Bogoliubov S(g) operator for the (:φ4:)2 quantum field theory