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Teoreticheskaya i Matematicheskaya Fizika, 1978, Volume 35, Number 1, Pages 24–28
(Mi tmf2758)
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Structure of translation operators in the phase spaces of free Euclidean fields. I
V. I. Skripnik
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 $x^d=0$.
Received: 17.05.1977
Citation:
V. I. Skripnik, “Structure of translation operators in the phase spaces of free Euclidean fields. I”, TMF, 35:1 (1978), 24–28; Theoret. and Math. Phys., 35:1 (1978), 292–294
Linking options:
https://www.mathnet.ru/eng/tmf2758 https://www.mathnet.ru/eng/tmf/v35/i1/p24
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Abstract page: | 389 | Full-text PDF : | 133 | References: | 46 | First page: | 1 |
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