Geodesic
Invariant Weyl systems that are not $U$-cyclic (note on Hegerfeldt and Melsheimer's paper)
Teoretičeskaâ i matematičeskaâ fizika, Tome 15 (1973) no. 2, pp. 221-226

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It is shown that the results of [1] can be extended to the case of Weyl systems that are invariant under the group of orthogonal transformations of the test-function space. 
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     author = {E. V. Damaskinsky},
     title = {Invariant {Weyl} systems that are not $U$-cyclic (note on {Hegerfeldt} and {Melsheimer's} paper)},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {221--226},
     publisher = {mathdoc},
     volume = {15},
     number = {2},
     year = {1973},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1973_15_2_a4/}
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E. V. Damaskinsky. Invariant Weyl systems that are not $U$-cyclic (note on Hegerfeldt and Melsheimer's paper). Teoretičeskaâ i matematičeskaâ fizika, Tome 15 (1973) no. 2, pp. 221-226. http://geodesic.mathdoc.fr/item/TMF_1973_15_2_a4/