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Introduction
Absorbing Potentials and Perfectly Matched Layers
Windowed Fourier Transforms and Space Phase Numerics
Description of Time Dependent Phase Space Filters
A More Practical Discussion: How to Choose the Parameters
The Behavior of Gaussian Framelets under the Free Flow
Assumptions and Accuracy Estimates
Discussions on the Assumptions
Proof of Theorem 7.5.6
Proof of Theorems 7.5.4 and 7.5.5
Numerical Experiments.

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