Un effet de moir\'e sur les espaces sym\'etriques de type non-compact
Group Theory
2021-03-10 v1 Classical Analysis and ODEs
Abstract
We prove that if is a symmetric space of the noncompact type, just as adding Helgason waves which propagate in all direction yields an elementary spherical function for , a Helgason wave can be produced by adding elementary spherical functions whose centers cluster along a horocycle in .
Cite
@article{arxiv.1602.03871,
title = {Un effet de moir\'e sur les espaces sym\'etriques de type non-compact},
author = {Alexandre Afgoustidis},
journal= {arXiv preprint arXiv:1602.03871},
year = {2021}
}
Comments
In French. Short note: 8 pages, 3 figures. An English version is available on the author's webpage