Gabor wave packets and evolution operators

Published 3 Jul 2014 in math.FA and math.AP | (1407.0997v1)

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.

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