Titlebook: Quantization on Nilpotent Lie Groups; Veronique Fischer,Michael Ruzhansky Book‘‘‘‘‘‘‘‘ 2016 The Editor(s) (if applicable) and the Author(s

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書目名稱Quantization on Nilpotent Lie Groups影響因子(影響力)




書目名稱Quantization on Nilpotent Lie Groups影響因子(影響力)學(xué)科排名




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Quantization on graded Lie groups, 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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Pseudo-differential operators on the Heisenberg group, 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 Schr?dinger representations. Eventually, we particularise our general approach given in Chapter 5 to the Heisenberg group.

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978-3-319-80599-3The Editor(s) (if applicable) and the Author(s) 2016

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Quantization on Nilpotent Lie Groups978-3-319-29558-9Series ISSN 0743-1643 Series E-ISSN 2296-505X

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Homogeneous Lie groups, latter setting are usually more singular than their Euclidean counterparts. However it is possible to adapt the technique in harmonic analysis to still treat many questions in this more abstract setting

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