On the Duality between Sampling and Interpolation
Alexander Olevskii, Alexander Ulanovskii
TL;DR
This paper introduces a simple method leveraging the duality between sampling and interpolation to simplify proofs of classical results in the field.
Contribution
It presents a novel approach based on stability and duality, streamlining existing proofs related to sampling and interpolation.
Findings
Simplified proofs of classical sampling and interpolation results
A new method based on stability and duality principles
Enhanced understanding of the relationship between sampling and interpolation
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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