Geodesic
Spectral Analysis on Upper Light Cone in R3 and the Radon Transform
Canadian journal of mathematics, Tome 40 (1988) no. 6, pp. 1458-1481

Voir la notice de l'article provenant de la source Cambridge University Press

The upper light cone L in R 3 is a homogeneous space of the 3-dimensional Lorentz group G. It may be identified with the space of horocycles in the upper hyperboloide H which is the symmetric space associated to G. There exists a duality between H and L (see [5] p. 144) and a general procedure leads to a generalized Radon transform: and the dual Radon transform These operations commute with the natural action of the group G. 
Wawrzyñczyk, Antoni. Spectral Analysis on Upper Light Cone in R3 and the Radon Transform. Canadian journal of mathematics, Tome 40 (1988) no. 6, pp. 1458-1481. doi: 10.4153/CJM-1988-067-7
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