Complete interpolating sequences for the Gaussian shift-invariant space

2021/12/02 by Anton Baranov, Yurii Belov, Baranov, Anton +3 · 1 citation
Mathematics · #Approximation Theory and Sequence Spaces #Complex Variables (math.CV) #FOS: Mathematics #Functional Analysis (math.FA) #Mathematical Analysis and Transform Methods #Mathematical Approximation and Integration

paper · pdf · doi:10.48550/arxiv.2112.01248

openalex publication_date 2021/12/02 · openalex created_date 2022/05/05 · openalex updated_date 2026/07/28

Abstract

We give a full description of complete interpolating sequences for the shift-invariant space generated by the Gaussian. As a consequence, we rederive the known density conditions for sampling and interpolation.

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