Abstract
The Iofa-Fainberg ([5]) formulation of a strictly nonlocal quantum field theory in terms of vacuum expectation values is reviewed in the Gelfand-Shilov ([2]) spaces to clarify that it lies just at the “boundary” of the theories considered by Constantinescu ([1]). A simple proof of holomorphy of the Laplace transformation of the relevant generalized functions (g.f.) which avoids the usual intermediate step of reduction to theorems on Laplace transforms of tempered distributions is given.
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