Semi-classical analysis on H-type groups

  title={Semi-classical analysis on H-type groups},
  author={Clotilde Fermanian Kammerer and Veronique Fischer},
  journal={Science China Mathematics},
In this paper, we develop semi-classical analysis on H-type groups. We define semi-classical pseudodi fferential operators, prove the boundedness of their action on square integrable functions and develop a symbolic calculus. Then, we define the semi-classical measures of bounded families of square integrable functions which consist of a pair formed by a measure defined on the product of the group and its unitary dual, and by a field of trace class positive operators acting on the Hilbert… Expand

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