Abstract
In this chapter we prove the Stone-von Neumann Theorem, which gives a full characterization of the unitary dual of the Heisenberg group \({\cal H}\). We then apply the trace formula to describe the spectral decomposition of \({L^2}(\Lambda \backslash H)\), where π is the standard integer lattice in \({\cal H}\).
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© 2014 Springer International Publishing Switzerland
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Deitmar, A., Echterhoff, S. (2014). The Heisenberg Group. In: Principles of Harmonic Analysis. Universitext. Springer, Cham. https://doi.org/10.1007/978-3-319-05792-7_10
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DOI: https://doi.org/10.1007/978-3-319-05792-7_10
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Publisher Name: Springer, Cham
Print ISBN: 978-3-319-05791-0
Online ISBN: 978-3-319-05792-7
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