Teoretičeskaâ i matematičeskaâ fizika, Tome 2 (1970) no. 3, pp. 292-296
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V. S. Buslaev; M. M. Skriganov. On a characteristic property of Weyl quantization. Teoretičeskaâ i matematičeskaâ fizika, Tome 2 (1970) no. 3, pp. 292-296. http://geodesic.mathdoc.fr/item/TMF_1970_2_3_a1/
@article{TMF_1970_2_3_a1,
author = {V. S. Buslaev and M. M. Skriganov},
title = {On~a~characteristic property of {Weyl} quantization},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {292--296},
year = {1970},
volume = {2},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1970_2_3_a1/}
}
TY - JOUR
AU - V. S. Buslaev
AU - M. M. Skriganov
TI - On a characteristic property of Weyl quantization
JO - Teoretičeskaâ i matematičeskaâ fizika
PY - 1970
SP - 292
EP - 296
VL - 2
IS - 3
UR - http://geodesic.mathdoc.fr/item/TMF_1970_2_3_a1/
LA - ru
ID - TMF_1970_2_3_a1
ER -
%0 Journal Article
%A V. S. Buslaev
%A M. M. Skriganov
%T On a characteristic property of Weyl quantization
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1970
%P 292-296
%V 2
%N 3
%U http://geodesic.mathdoc.fr/item/TMF_1970_2_3_a1/
%G ru
%F TMF_1970_2_3_a1
A condition is found under which a linear continuous mapping $W_1\colon L_2(\mathscr M)\to\hat{L_2}(H)$ of the space $L_2(\mathscr M)$ of generalized functionals on a phase space $\mathscr M$ into the set $\hat{L_2}(H)$ of Hilbert–Schmidt operators on a Fok space $H$ differs by only a numerical factor from Weyl quantization $W$.