Time-Frequency Analysis of Schrödinger Propagators

Chapter
First Online:
Part of the Progress in Mathematics book series (PM, volume 301)

Abstract

We present a survey on recent results concerning applications of Time-Frequency Analysis to the study of Fourier Integral Operators (FIOs). In particular, we focus on Schrödinger-type FIOs, showing that Gabor frames provide optimally sparse representations of such operators. Using Maple software, new numerical examples for the Harmonic Oscillator are provided.

Keywords

Modulation spaces localization operators Fourier integral operators Wigner distribution short-time Fourier transform Schatten class 
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Copyright information

© Springer Basel 2012

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of TorinoTorinoItaly
  2. 2.Dipartimento di MatematicaPolitecnico di TorinoTorinoItaly

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