Fourier expansion associated with the Lorentz group in the space of generalized functions with support in the light cone
Teoretičeskaâ i matematičeskaâ fizika, Tome 34 (1978) no. 1, pp. 23-33

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The space into which functions in $S(\overline V_+)$ are mapped by the Fourier transformation is described. Functionals in this space define an expansion of generalized functions in $S'(\overline V_+)$ with respect to irreducible representations of the Lorentz group.
@article{TMF_1978_34_1_a2,
     author = {Yu. G. Shondin},
     title = {Fourier expansion associated with the {Lorentz} group in the space of generalized functions with support in the light cone},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {23--33},
     publisher = {mathdoc},
     volume = {34},
     number = {1},
     year = {1978},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1978_34_1_a2/}
}
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Yu. G. Shondin. Fourier expansion associated with the Lorentz group in the space of generalized functions with support in the light cone. Teoretičeskaâ i matematičeskaâ fizika, Tome 34 (1978) no. 1, pp. 23-33. http://geodesic.mathdoc.fr/item/TMF_1978_34_1_a2/