English

Complete interpolating sequences for the Gaussian shift-invariant space

Functional Analysis 2021-12-03 v1 Complex Variables

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.

Keywords

Cite

@article{arxiv.2112.01248,
  title  = {Complete interpolating sequences for the Gaussian shift-invariant space},
  author = {Anton Baranov and Yurii Belov and Karlheinz Gröchenig},
  journal= {arXiv preprint arXiv:2112.01248},
  year   = {2021}
}

Comments

11 pages

R2 v1 2026-06-24T08:01:36.328Z