Geodesic
Test function space for Wick power series
Teoretičeskaâ i matematičeskaâ fizika, Tome 123 (2000) no. 3, pp. 355-373 Cet article a éte moissonné depuis la source Math-Net.Ru

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We derive a criterion that is convenient for applications and exactly characterizes the test function space on which the operator realization of a given series of Wick powers of a free field is possible. The suggested derivation does not use the assumption that the metric of the state space is positive and can therefore be used in a gauge theory. It is based on the systematic use of the analytic properties of the Hilbert majorant of the indefinite metric and on the application of a suitable theorem on the unconditional convergence of series of boundary values of analytic functions. 
@article{TMF_2000_123_3_a0,
     author = {A. G. Smirnov and M. A. Soloviev},
     title = {Test function space for {Wick} power series},
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     pages = {355--373},
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     volume = {123},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2000_123_3_a0/}
}
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A. G. Smirnov; M. A. Soloviev. Test function space for Wick power series. Teoretičeskaâ i matematičeskaâ fizika, Tome 123 (2000) no. 3, pp. 355-373. http://geodesic.mathdoc.fr/item/TMF_2000_123_3_a0/

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