Stone-von Neumann-Mackey定理的一个简单证明
An easy proof of the Stone-von Neumann-Mackey theorem
摘要：
利用Peter-Weyl定理和有限维实向量空间的傅里叶变换理论，证明了与局部紧阿贝尔群相关的Heisenberg群的Stone-vonNeumann-Mackey定理. Pontryagin和van Kampen关于局部紧阿贝尔群结构的一个定理（在任何特殊情况下都是明显的）被假定。
英文摘要：
The Stone-von Neumann-Mackey Theorem for Heisenberg groups associated to locally compact abelian groups is proved using the Peter-Weyl theorem and the theory of Fourier transforms for finite dimensional real vector spaces. A theorem of Pontryagin and van Kampen on the structure of locally compact abelian groups (which is evident in any particular case) is assumed.
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。
