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Asymptotic mean value property for eigenfunctions of the Laplace-Beltrami operator on Damek-Ricci spaces

Let $S$ be a Damek-Ricci space equipped with the Laplace-Beltrami operator $Δ$. In this paper we characterize all eigenfunctions of $Δ$ through sphere, ball and shell averages as the radius (of sphere, ball or shell) tends to infinity.

preprint2020arXivOpen access
Muna NaikRudra P. Sarkar
math.FAmath.CA
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Muna NaikRudra P. Sarkar

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