# Semi-classical Time-frequency Analysis and Applications

@article{Cordero2016SemiclassicalTA,
title={Semi-classical Time-frequency Analysis and Applications},
author={Elena Cordero and Maurice A. de Gosson and Fabio Di Nicola},
journal={Mathematical Physics, Analysis and Geometry},
year={2016},
volume={20},
pages={1-23}
}
• Published 2 September 2016
• Mathematics
• Mathematical Physics, Analysis and Geometry
This work represents a first systematic attempt to create a common ground for semi-classical and time-frequency analysis. These two different areas combined together provide interesting outcomes in terms of Schrödinger type equations. Indeed, continuity results of both Schrödinger propagators and their asymptotic solutions are obtained on ℏ$\hbar$-dependent Banach spaces, the semi-classical version of the well-known modulation spaces. Moreover, their operator norm is controlled by a constant…
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