Relevant sampling of band-limited functions

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Abstract

We study the random sampling of band-limited functions of several variables. If a band-limited function with bandwidth has its essential support on a cube of volume Rd, then O(Rd logRd) random samples suffice to approximate the function up to a given error with high probability. © 2014 University of Illinois.

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CITATION STYLE

APA

Bass, R. F., & Gröchenig, K. (2013). Relevant sampling of band-limited functions. Illinois Journal of Mathematics, 57(1), 43–58. https://doi.org/10.1215/ijm/1403534485

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