Geodesic
Test function space for Wick power series
Teoretičeskaâ i matematičeskaâ fizika, Tome 123 (2000) no. 3, pp. 355-373

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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},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {355--373},
     publisher = {mathdoc},
     volume = {123},
     number = {3},
     year = {2000},
     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/