A reconstruction formula for band limited functions in 𝐿₂(𝑅^{𝑑})

Pesenson, Isaac

doi:10.1090/S0002-9939-99-04938-2

A reconstruction formula for band limited functions in $L_2(R^d)$
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by Isaac Pesenson

Proc. Amer. Math. Soc. 127 (1999), 3593-3600

DOI: https://doi.org/10.1090/S0002-9939-99-04938-2

Published electronically: May 6, 1999

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Abstract:

It is shown that a band limited function from $L_2(R^d)$ can be reconstructed from irregularly sampled values as a limit of spline functions. The assumption about the sampling sequence is that it should be dense enough.

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