Prasad, Amritanshu (2011) An easy proof of the Stone–von Neumann–Mackey Theorem Expositiones Mathematicae, 29 (1). pp. 110-118. ISSN 0723-0869
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Official URL: http://doi.org/10.1016/j.exmath.2010.06.001
Related URL: http://dx.doi.org/10.1016/j.exmath.2010.06.001
Abstract
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.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Elsevier Science. |
| ID Code: | 121510 |
| Deposited On: | 19 Jul 2021 04:41 |
| Last Modified: | 19 Jul 2021 04:41 |
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