Abstract
In this chapter, we study a special type of operators: the (homogeneous) Rockland operators. These operators can be viewed as a generalisation of sub-Laplacians to the non-stratified but still homogeneous (graded) setting. The terminology comes from a property conjectured by Rockland and eventually proved by Helffer and Nourrigat in [HN79], see Section 4.1.3.
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Fischer, V., Ruzhansky, M. (2016). Rockland operators and Sobolev spaces. In: Quantization on Nilpotent Lie Groups. Progress in Mathematics, vol 314. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-29558-9_4
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DOI: https://doi.org/10.1007/978-3-319-29558-9_4
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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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