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Sibirskii Matematicheskii Zhurnal, 2021, Volume 62, Number 6, Pages 1271–1284
DOI: https://doi.org/10.33048/smzh.2021.62.605 (Mi smj7627) 		 
Invariant operators in some space of vector functions

V. M. Gordienkoab

a Sobolev Institute of Mathematics, Novosibirsk, Russia
b Novosibirsk State University, Novosibirsk, Russia
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DOI: https://doi.org/10.33048/smzh.2021.62.605
Abstract: We consider the vector functions transforming in accord with the representations of the groups $SO(3)$ and $SU(2)$ and provide the formulas of the action on the functions of nine invariant operators.
Keywords: representations of $SO(3)$ and $SU(2)$, Clebsch–Gordan coefficients, invariant vector functions, invariant operators.
Received: 07.06.2021
Revised: 29.07.2021
Accepted: 11.08.2021
English version:
Siberian Mathematical Journal, 2021, Volume 62, Issue 6, Pages 1026–1038
DOI: https://doi.org/10.1134/S0037446621060057
Bibliographic databases:
Document Type: Article
UDC: 512.815.1
MSC: 35R30
Language: Russian
Citation: V. M. Gordienko, “Invariant operators in some space of vector functions”, Sibirsk. Mat. Zh., 62:6 (2021), 1271–1284; Siberian Math. J., 62:6 (2021), 1026–1038
Citation in format AMSBIB
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    		Сибирский математический журнал Siberian Mathematical Journal
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