Expansion of generalized functions with support in the light cone with respect to a continuous set of irreducible representations of the Lorentz group and comparison with Wilson expansions
Teoretičeskaâ i matematičeskaâ fizika, Tome 31 (1977) no. 2, pp. 147-155
Yu. M. Shirokov; Yu. G. Shondin. Expansion of generalized functions with support in the light cone with respect to a continuous set of irreducible representations of the Lorentz group and comparison with Wilson expansions. Teoretičeskaâ i matematičeskaâ fizika, Tome 31 (1977) no. 2, pp. 147-155. http://geodesic.mathdoc.fr/item/TMF_1977_31_2_a0/
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     author = {Yu. M. Shirokov and Yu. G. Shondin},
     title = {Expansion of generalized functions with support in the light cone with respect to a continuous set of irreducible representations of the {Lorentz} group and comparison with {Wilson} expansions},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {147--155},
     year = {1977},
     volume = {31},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1977_31_2_a0/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

Expansion of generalised functions with the support in the light cone over irreducible representations of the Lorentz group is obtained. It is shown that this expansion can be considered as a continuous analogue of Wilson expansion.

[1] Yu. M. Shirokov, EChAYa, 4:1 (1974) | MR

[2] Yu. M. Shirokov, TMF, 25 (1975), 3 | MR | Zbl

[3] B. I. Zavyalov, TMF, 17 (1973), 178

[4] D. P. Zhelobenko, Kompaktnye gruppy Li i ikh predstavleniya, «Nauka», 1970 ; Ю. М. Широков, ЭЧАЯ, 3:3 (1973) | MR | Zbl | MR

[5] I. M. Gelfand, M. I. Graev, N. Ya. Vilenkin, Integralnaya geometriya i svyazannye s nei voprosy teorii predstavlenii, Fizmatgiz, 1962 | MR