Horospherical Cauchy-Radon transform on compact symmetric spaces

2005/01/02 by Simon Gindikin, Gindikin, Simon
Computer Science · Mathematics · Medicine · #22E46 #FOS: Mathematics #Image and Signal Denoising Methods #Mathematical Analysis and Transform Methods #Medical Imaging Techniques and Applications #Representation Theory (math.RT) #math.RT #msc:22E46

paper · pdf · doi:10.48550/arxiv.math/0501022

6 pages

arxiv created 2005/01/02 · openalex publication_date 2005/01/02 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Harmonic analysis on noncompact Riemannian symmetric spaces is in a sense equivalent to the theory of the horospherical transform. There are no horospheres on compact symmetric spaces, but we define a complex version of horospherical transform which plays a similar role for the harmonic analysis on them.

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