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

Authors

Muna Naik, Harish Chandra Research Institute
Rudra P. Sarkar, Indian Statistical Institute, Kolkata

Article Type

Research Article

Publication Title

Annali di Matematica Pura ed Applicata

Abstract

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.

First Page

1583

Last Page

1605

DOI

10.1007/s10231-021-01172-9

Publication Date

8-1-2022

Comments

Open Access, Green

Recommended Citation

Naik, Muna and Sarkar, Rudra P., "Asymptotic mean value property for eigenfunctions of the Laplace–Beltrami operator on Damek–Ricci spaces" (2022). Journal Articles. 3029.
https://digitalcommons.isical.ac.in/journal-articles/3029