Geodesic
$O$-invariant $U$-cyclic Weyl systems
Teoretičeskaâ i matematičeskaâ fizika, Tome 15 (1973) no. 1, pp. 70-77

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A study is made of $U$-cyclic Weyl systems that are invariant under the group of all unitary operators of the test-function space. It is shown that the class of vacuum Weyl systems is exhausted by Weyl systems generated by Gaussian measures. 
@article{TMF_1973_15_1_a4,
     author = {E. V. Damaskinsky},
     title = {$O$-invariant $U$-cyclic {Weyl} systems},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {70--77},
     publisher = {mathdoc},
     volume = {15},
     number = {1},
     year = {1973},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1973_15_1_a4/}
}
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E. V. Damaskinsky. $O$-invariant $U$-cyclic Weyl systems. Teoretičeskaâ i matematičeskaâ fizika, Tome 15 (1973) no. 1, pp. 70-77. http://geodesic.mathdoc.fr/item/TMF_1973_15_1_a4/