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arXiv · 1307.3900

Exact and approximate expansions with pure Gaussian wavepackets

Maarten V. de Hoop·Karlheinz Gröchenig·José Luis Romero
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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.

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Maarten V. de Hoop, Karlheinz Gröchenig, José Luis Romero. 2013-07-15. Exact and approximate expansions with pure Gaussian wavepackets. https://arxiv.org/abs/1307.3900

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