Complete interpolating sequences for the Gaussian shift-invariant space
Anton Baranov, Yurii Belov, and Karlheinz Gr\"ochenig
TL;DR
This paper characterizes complete interpolating sequences for the Gaussian-generated shift-invariant space, providing a comprehensive description and reestablishing density conditions for sampling and interpolation.
Contribution
It offers a full characterization of interpolating sequences for Gaussian shift-invariant spaces, advancing understanding of sampling theory in this context.
Findings
Complete description of interpolating sequences for Gaussian shift-invariant space.
Rederivation of known density conditions for sampling and interpolation.
Enhanced theoretical framework for Gaussian-based sampling and interpolation.
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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Taxonomy
TopicsMathematical Analysis and Transform Methods · Approximation Theory and Sequence Spaces · Mathematical Approximation and Integration