论文标题
在海森伯格集团上的英格汉姆定理的类似物
An analogue of Ingham's theorem on the Heisenberg group
论文作者
论文摘要
我们证明了Ingham的不确定性原则的确切类似物，用于Heisenberg集团的Fourier Transform。这是通过在海森伯格集团上明确构建紧凑支持的功能来实现的，其可估算的傅里叶变换具有合适的Ingham型衰变，并证明了切尔诺夫定理的特殊Hermite运营商家族的类似物。
We prove an exact analogue of Ingham's uncertainty principle for the group Fourier transform on the Heisenberg group. This is accomplished by explicitly constructing compactly supported functions on the Heisenberg group whose operator-valued Fourier transforms have suitable Ingham type decay and proving an analogue of Chernoff's theorem for the family of special Hermite operators.
