Towards semi-classical analysis for sub-elliptic operators. (English) Zbl 1500.43006
“Bruno Pini” Mathematical Analysis Seminar 2021. Papers from the seminar, University of Bologna, Bologna, Italy, 2021. Bologna: Università di Bologna, Alma Mater Studiorum. 31-52 (2022).
Summary: We discuss the recent developments of semi-classical and micro-local analysis in the context of nilpotent Lie groups and for sub-elliptic operators. In particular, we give an overview of pseudo-differential calculi recently defined on nilpotent Lie groups as well as of the notion of quantum limits in the Euclidean and nilpotent cases.
For the entire collection see [Zbl 1487.35004].
For the entire collection see [Zbl 1487.35004].
MSC:
| 43A80 | Analysis on other specific Lie groups |
| 58J45 | Hyperbolic equations on manifolds |
| 35Q40 | PDEs in connection with quantum mechanics |
Keywords:
analysis on nilpotent Lie groups; evolution of solutions to the Schrödinger equation; micro-local and semi-classical analysis for sub-elliptic operators; abstract harmonic analysis; C*-Algebra theoryReferences:
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