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arXiv · 2005.02785

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

Muna Naik·Rudra P. Sarkar
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Abstract

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

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Muna Naik, Rudra P. Sarkar. 2020-05-06. Asymptotic mean value property for eigenfunctions of the Laplace-Beltrami operator on Damek-Ricci spaces. https://arxiv.org/abs/2005.02785

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