Geodesic
Structure of translation operators in the phase spaces of free Euclidean fields. I
Teoretičeskaâ i matematičeskaâ fizika, Tome 35 (1978) no. 1, pp. 24-28 
V. I. Skripnik. Structure of translation operators in the phase spaces of free Euclidean fields. I. Teoretičeskaâ i matematičeskaâ fizika, Tome 35 (1978) no. 1, pp. 24-28. http://geodesic.mathdoc.fr/item/TMF_1978_35_1_a2/
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Voir la notice de l'article provenant de la source Math-Net.Ru

It is shown that in one class of Sovolev-type Hilbert spaces of functions on $\mathbf R^d$ the operator of translation along the coordinate axis $x^d$ has the semigroup property when projected onto the subspace of functions concentrated on the hypersurface $x^d=0$.

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