论文标题
Chernoff和Ingham的定理，以进行某些本本特征扩展
Theorems of Chernoff and Ingham for certain eigenfunction expansions
论文作者
论文摘要
我们证明了$ l^2（\ Mathbb {r}^+，w（r）Dr）$的某些特征功能扩展的不确定性原则，并用它来证明Chernoff和Ingham的类似于Chernoff和Ingham的Laplace-Beltrami操作员，$ Mathbb $ \ Mathbb^$ \ Mathbb^C^ \ Mathbb {r}^n。$
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.$
