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arXiv · 1203.0146

Relevant Sampling of Band-limited Functions

Richard F. Bass·Karlheinz Gröchenig
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Abstract

We study the random sampling of band-limited functions of several variables. If a bandlimited function with bandwidth one has its essential support on a cube of volume $R^d$, then $\cO (R^d \log R^d)$ random samples suffice to approximate the function up to a given error with high probability.

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Richard F. Bass, Karlheinz Gröchenig. 2012-03-01. Relevant Sampling of Band-limited Functions. https://arxiv.org/abs/1203.0146

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