PreprintCC BY 4.0arXiv
Bandwidth limited functions on locally compact abelian groups
Abstract
This mostly expository paper gives a unified treatment of many interpolation results for bandwidth-limited functions on locally compact abelian groups, based on reproducing kernel Hilbert spaces. It includes an abstract interpolation theorem phrased in terms of frames.
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BibTeX
@misc{brylinski2026bandwidth,
title = {{Bandwidth limited functions on locally compact abelian groups}},
author = {Jean-Luc Brylinski},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.32883},
eprint = {2609.32883},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.32883},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Bandwidth limited functions on locally compact abelian groups
AU - Jean-Luc Brylinski
PY - 2026
DA - 2026/09/26
PB - arXiv
DO - 10.48550/arxiv.2609.32883
UR - https://arxiv.org/abs/2609.32883
AB - This mostly expository paper gives a unified treatment of many interpolation results for bandwidth-limited functions on locally compact abelian groups, based on reproducing kernel Hilbert spaces. It includes an abstract interpolation theorem phrased in terms of frames.
ER -