Integral geometry on discrete Grassmannians (d, n) associated to n

Author: Abouelaz Ahmed   Ihsane Abdallah  

Publisher: Taylor & Francis Ltd

ISSN: 1065-2469

Source: Integral Transforms and Special Functions, Vol.21, Iss.3, 2010-03, pp. : 197-220

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Abstract

The purpose of this paper is to extend carefully the discrete Radon transform, studied in [A. Abouelaz and A. Ihsane, Diophantine integral geometry, Mediterr. J. Math. 5(1) (2008), pp. 77-99], to the Radon transform R on the discrete Grassmannian (d, n) (with n≥3 and 1≤d