A Few Remarks on Time-frequency Analysis of Gevrey, Analytic and Ultra-analytic Functions

  • Elena CorderoEmail author
  • Fabio Nicola
  • Luigi Rodino
Conference paper
Part of the Trends in Mathematics book series (TM)


We give a brief survey of recent results concerning almost diagonalization of pseudodifferential operators via Gabor frames. Moreover, we show new connections between symbols with Gevrey, analytic or ultra-analityc regularity and time-frequency analysis of the corresponding pseudodifferential operators.


Pseudodifferential operators Gelfand–Shilov spaces Gevrey spaces short-time Fourier transform Gabor frames 


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Copyright information

© Springer International Publishing Switzerland 2014

Authors and Affiliations

  1. 1.Dipartimento di MatematicaUniversità di TorinoTorinoItaly
  2. 2.Dipartimento di Scienze MatematichePolitecnico di TorinoTorinoItaly

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