Geodesic
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 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

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},
     year = {1978},
     volume = {34},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1978_34_1_a2/}
}
TY  - JOUR
AU  - Yu. G. Shondin
TI  - Fourier expansion associated with the Lorentz group in the space of generalized functions with support in the light cone
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1978
SP  - 23
EP  - 33
VL  - 34
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/TMF_1978_34_1_a2/
LA  - ru
ID  - TMF_1978_34_1_a2
ER  - 
%0 Journal Article
%A Yu. G. Shondin
%T Fourier expansion associated with the Lorentz group in the space of generalized functions with support in the light cone
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1978
%P 23-33
%V 34
%N 1
%U http://geodesic.mathdoc.fr/item/TMF_1978_34_1_a2/
%G ru
%F TMF_1978_34_1_a2
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/

[1] Yu. M. Shirokov, Yu. G. Shondin, TMF, 31 (1977), 147 | Zbl

[2] N. Ya. Vilenkin, Ya. A. Smorodinskii, ZhETF, 46 (1964), 1793 | MR

[3] Yu. M. Zinoviev, Commun. Math. Phys., 47 (1976), 33 | DOI | MR | Zbl

[4] I. S. Gradshtein, I. M. Ryzhik, Tablitsy integralov, summ, ryadov i proizvedenii, Fizmatgiz, M., 1963 | MR

[5] A. G. Zemanyan, Integralnye preobrazovaniya obobschennykh funktsii, «Nauka», 1973

[6] V. S. Vladimirov, Izv. AN SSSR, ser. matem., 27 (1963), 75 | MR | Zbl