Asymptotic expansion of the commutator of heisenberg fields with respect to finite-dimensional irreducible representations of the Lorentz group
Teoretičeskaâ i matematičeskaâ fizika, Tome 37 (1978) no. 1, pp. 58-65
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It is shown that the expansion of the commutator (retarded commutator) with respect to infinite-dimensional irreducible representations of the Lorentz group [1–2] decomposes into an asymptotic discrete series of irreducible finite-dimensional representations because of the spectral condition.
[1] Yu. M. Shirokov. Yu. G. Shondin, TMF, 31 (1977), 147 | Zbl
[2] Yu. G. Shondin, TMF, 34 (1978), 23 | Zbl
[3] R. Hermann, Forier analysis on groups and partial wave analysis, New York, 1969 | MR
[4] N. N. Bogolyubov, V. S. Vladimirov, Nauchnye doklady vysshei shkoly, 3 (1958), 26; 2 (1959), 179
[5] Yu. G. Shondin, TMF, 36 (1978), 303 | MR | Zbl
[6] D. P. Zhelobenko, Izv. AN SSSR, ser. matem., 27 (1963), 1343 | Zbl