Test Function Space for Wick Power Series
Smirnov, A. G. ; Soloviev, M. A.
arXiv, 0010001 / Harvested from arXiv
Text on arXiv
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.
Publié le : 2000-10-02
Classification:  Mathematical Physics,  High Energy Physics - Theory 
@article{0010001,
     author = {Smirnov, A. G. and Soloviev, M. A.},
     title = {Test Function Space for Wick Power Series},
     journal = {arXiv},
     volume = {2000},
     number = {0},
     year = {2000},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0010001}
}

Smirnov, A. G.; Soloviev, M. A. Test Function Space for Wick Power Series. arXiv, Tome 2000 (2000) no. 0, . http://gdmltest.u-ga.fr/item/0010001/