A Moiré pattern on symmetric spaces of the noncompact type

Afgoustidis, Alexandre

doi:10.1090/proc/14125

A Moiré pattern on symmetric spaces of the noncompact type
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by Alexandre Afgoustidis PDF

Proc. Amer. Math. Soc. 146 (2018), 3747-3758 Request permission

Abstract:

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

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