Structure of translation operators in the phase spaces of free Euclidean fields. I
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Submitted 1978 | SovietRxiv: ru-197801.15504 | Original in English | Abstract Only

Abstract

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 $x^d=0$ .

Submission history

Structure of translation operators in the phase spaces of free Euclidean fields. I