On the Duality between Sampling and Interpolation

2015/12/04 by Olevskii, Alexander, Ulanovskii, Alexander
#42C15 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics

paper · doi:10.48550/arxiv.1512.01437

Abstract

We present a simple method based on the stability and duality of the properties of sampling and interpolation, which allows one to substantially simplify the proofs of some classical results.

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