Abstract
In this chapter we develop the theory of pseudo-differential operators on graded Lie groups. Our approach relies on using positive Rockland operators, their fractional powers and their associated Sobolev spaces studied in Chapter 4. As we have pointed out in the introduction, the graded Lie groups then become the natural setting for such analysis in the context of general nilpotent Lie groups.
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Fischer, V., Ruzhansky, M. (2016). Quantization on graded Lie groups. In: Quantization on Nilpotent Lie Groups. Progress in Mathematics, vol 314. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-29558-9_5
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DOI: https://doi.org/10.1007/978-3-319-29558-9_5
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Publisher Name: Birkhäuser, Cham
Print ISBN: 978-3-319-29557-2
Online ISBN: 978-3-319-29558-9
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