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/}
}
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 PB - mathdoc 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 %I mathdoc %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/