Exact and approximate expansions with pure Gaussian wavepackets
Classical Analysis and ODEs
2015-04-27 v2 Numerical Analysis
Abstract
We construct frames of wavepackets produced by parabolic dilation, rotation and translation of (a finite sum of) Gaussians and give asymptotics on the analogue of Daubechies frame criterion. We show that the coefficients in the corresponding approximate expansion decay fast away from the wavefront set of the original data.
Keywords
Cite
@article{arxiv.1307.3900,
title = {Exact and approximate expansions with pure Gaussian wavepackets},
author = {Maarten V. de Hoop and Karlheinz Gröchenig and José Luis Romero},
journal= {arXiv preprint arXiv:1307.3900},
year = {2015}
}
Comments
27 pages. 4 figures