Geodesic
Tensor products of unitary representations of the three-dimensional Lorentz group
Izvestiya. Mathematics , Tome 15 (1980) no. 1, pp. 113-143

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The author obtains a decomposition into irreducible representations of the tensor product of any two irreducible unitary representations of the group $SO_0(1,2)$. An explicit construction of this decomposition is given, and the corresponding Plancherel measure is found. Bibliography: 13 titles. 
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     author = {V. F. Molchanov},
     title = {Tensor products of unitary representations of the three-dimensional {Lorentz} group},
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V. F. Molchanov. Tensor products of unitary representations of the three-dimensional Lorentz group. Izvestiya. Mathematics , Tome 15 (1980) no. 1, pp. 113-143. http://geodesic.mathdoc.fr/item/IM2_1980_15_1_a4/