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Gabor Wave Packets and Evolution Operators

  • Elena CorderoEmail author
  • Fabio Nicola
  • Luigi Rodino
Part of the Operator Theory: Advances and Applications book series (OT, volume 245)

Abstract

We perform a Gabor analysis for a large class of evolution equations with constant coefficients. We show that the corresponding propagators have a very sparse Gabor matrix, displaying off-diagonal exponential decay. The results apply to hyperbolic, weakly hyperbolic and parabolic equations. Some numerical experiments are provided.

Keywords

Pseudodifferential operators Gelfand–Shilov spaces short-time Fourier transform Gabor frames sparse representations hyperbolic equations parabolic equations 

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Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

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

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