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most citedGeophysical modelling with Colombeau functions: Microlocal properties and Zygmund regularity

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math.CA2013

Exact and approximate expansions with pure Gaussian wavepackets

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

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…