Un effet de moiré sur les espaces symétriques de type non-compact

Abstract

We prove that if $X$ is a symmetric space of the noncompact type, just as adding Helgason waves which propagate in all direction yields an elementary spherical function for $X$, a Helgason wave can be produced by adding elementary spherical functions whose centers cluster along a horocycle in $X$.

arXiv commentIn French. Short note: 8 pages, 3 figures. An English version is available on the author's webpage