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arXiv · 0912.0574

An easy proof of the Stone-von Neumann-Mackey theorem

Amritanshu Prasad
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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.

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BibTeXRIS

Amritanshu Prasad. 2009-12-03. An easy proof of the Stone-von Neumann-Mackey theorem. https://doi.org/10.1016/j.exmath.2010.06.001

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