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• W3108960003 abstract "In this article, we extend a result of L. Loomis and W. Rudin, regarding boundary behavior of positive harmonic functions on the upper half space $R_+^{n+1}$. We show that similar results remain valid for more general approximate identities. We apply this result to prove a result regarding boundary behavior of nonnegative eigenfunctions of the Laplace-Beltrami operator on real hyperbolic space $mathbb H^n$. We shall also prove a generalization of a result regarding large time behavior of solution of the heat equation proved in cite{Re}. We use this result to prove a result regarding asymptotic behavior of certain eigenfunctions of the Laplace-Beltrami operator on real hyperbolic space $mathbb H^n$." @default.
• W3108960003 created "2020-12-07" @default.
• W3108960003 creator A5072227967 @default.
• W3108960003 date "2022-08-11" @default.
• W3108960003 modified "2023-09-28" @default.
• W3108960003 title "On the pointwise converse of Fatou’s theorem for Euclidean and real hyperbolic spaces" @default.
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• W3108960003 doi "https://doi.org/10.1007/s11856-022-2336-0" @default.
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