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arXiv · 2011.09940

Theorems of Chernoff and Ingham for certain eigenfunction expansions

Pritam Ganguly·Sundaram Thangavelu
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Abstract

We prove an uncertainty principle for certain eigenfunction expansions on $ L^2(\mathbb{R}^+,w(r)dr) $ and use it to prove analogues of theorems of Chernoff and Ingham for Laplace-Beltrami operators on compact symmetric spaces, special Hermite operator on $ \mathbb{C}^n $ and Hermite operator on $ \mathbb{R}^n.$

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BibTeXRIS

Pritam Ganguly, Sundaram Thangavelu. 2020-11-19. Theorems of Chernoff and Ingham for certain eigenfunction expansions. https://arxiv.org/abs/2011.09940

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