MEAN VALUE PROPERTY in LIMIT for EIGENFUNCTIONS of the LAPLACE–BELTRAMI OPERATOR
Article Type
Research Article
Publication Title
Transactions of the American Mathematical Society
Abstract
We consider Riemannian symmetric spaces X of noncompact-type with rank one, which accommodates all hyperbolic spaces. We characterize the eigenfunctions of the Laplace–Beltrami operator on X with arbitrary complex eigenvalues through an asymptotic version of the ball mean value property as the radius of the ball tends to infinity.
First Page
4735
Last Page
4756
DOI
10.1090/tran/8078
Publication Date
7-1-2020
Recommended Citation
Naik, Muna; Ray, Swagato K.; and Sarkar, Rudra P., "MEAN VALUE PROPERTY in LIMIT for EIGENFUNCTIONS of the LAPLACE–BELTRAMI OPERATOR" (2020). Journal Articles. 214.
https://digitalcommons.isical.ac.in/journal-articles/214
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