Article contents
Spectral Analysis on Upper Light Cone in R3 and the Radon Transform
Published online by Cambridge University Press: 20 November 2018
Extract
The upper light cone L in R3 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.
- Type
- Research Article
- Information
- Copyright
- Copyright © Canadian Mathematical Society 1988
References
- 1
- Cited by