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arXiv · 1712.07899

Sharp results on sampling with derivatives in shift-invariant spaces and multi-window Gabor frames

Karlheinz Gröchenig·José Luis Romero·Joachim Stöckler
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Abstract

We study the problem of sampling with derivatives in shift-invariant spaces generated by totally-positive functions of Gaussian type or by the hyperbolic secant. We provide sharp conditions in terms of weighted Beurling densities. As a by-product we derive new results about multi-window Gabor frames with respect to vectors of Hermite functions or totally positive functions.

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Karlheinz Gröchenig, José Luis Romero, Joachim Stöckler. 2017-12-21. Sharp results on sampling with derivatives in shift-invariant spaces and multi-window Gabor frames. https://arxiv.org/abs/1712.07899

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