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Spectral Analysis on Upper Light Cone in R3 and the Radon Transform

Published online by Cambridge University Press:  20 November 2018

Antoni Wawrzyñczyk
Antoni Wawrzyñczyk*
Affiliation:
Universidad Antónoma Metropolitana – Iztapalapa, México, México
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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
Canadian Journal of Mathematics , Volume 40 , Issue 6 , 01 December 1988 , pp. 1458 - 1481
Copyright
Copyright © Canadian Mathematical Society 1988

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