Theorems of Chernoff and Ingham for certain eigenfunction expansions
英文摘要：
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.$
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
