Abstract
It is demonstrated that in a Wightman quantum field theory with a denumerable set of field operators over the test function space SR, transforming covariantly among themselves under a unitary representation U(Λ, a) of the covering group of the Poincaré group, the domain D0 of vectors generated by the polynomial ring over the field operators applied on the vacuum state contains a dense invariant set of analytic vectors for U(Λ, a).
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