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Theorems of Chernoff and Ingham for certain eigenfunction expansions
Advances in Mathematics ( IF 1.5 ) Pub Date : 2021-06-02 , DOI: 10.1016/j.aim.2021.107815 Pritam Ganguly , Sundaram Thangavelu
中文翻译:
某些特征函数展开的 Chernoff 和 Ingham 定理
更新日期:2021-06-02
Advances in Mathematics ( IF 1.5 ) Pub Date : 2021-06-02 , DOI: 10.1016/j.aim.2021.107815 Pritam Ganguly , Sundaram Thangavelu
We prove an uncertainty principle for certain eigenfunction expansions on and use it to prove analogues of theorems of Chernoff and Ingham for Laplace-Beltrami operators on compact symmetric spaces, special Hermite operator on and Hermite operator on .
中文翻译:
某些特征函数展开的 Chernoff 和 Ingham 定理
我们证明了某些特征函数展开的不确定性原理 并用它来证明紧对称空间上 Laplace-Beltrami 算子的 Chernoff 和 Ingham 定理的类似物,特殊 Hermite 算子在 和 Hermite 运算符 .