Wick-ordered entire functions of the indefinite metric free field (Q1364193)

In the author's paper [``Beyond the theory of hyperfunctions'', in: Development in Math.: The Moscow School, Chapman and Hall, London, 131-193 (1993)] an extension of the distribution theory based on the angular localizability notion and aimed at the application to quantum field theory is presented. It was included a generalization of a well-known Paley-Wiener-Schwartz theorem which relates the support properties of distributions to the growth properties of their Laplace transformations. In this paper it is shown that the employment of a relevant PWS-type theorem provides a general method for constructing Wick-ordered entire functions of indefinite metric free fields.