Abstract
The Heisenberg group was introduced in Example 1.6.4. It was our primal example of a stratified Lie group, see Section 3.1.1. Due to the importance of the Heisenberg group and of its many realisations, we start this chapter by sketching various descriptions of the Heisenberg group. We also describe its dual via the well known Schrödinger representations. Eventually, we particularise our general approach given in Chapter 5 to the Heisenberg group.
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Fischer, V., Ruzhansky, M. (2016). Pseudo-differential operators on the Heisenberg group. In: Quantization on Nilpotent Lie Groups. Progress in Mathematics, vol 314. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-29558-9_6
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DOI: https://doi.org/10.1007/978-3-319-29558-9_6
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Publisher Name: Birkhäuser, Cham
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