An Explicit Bound for Stability of Sinc Bases

Antonio Avantaggiati, Paola Loreti, Pierluigi Vellucci


It is well known that exponential Riesz bases are stable. The celebrated theorem by Kadec shows that 1/4 is a stability bound for the exponential basis on L2(-p,p). In this paper we prove that a/p (where a is the Lamb- Oseen constant) is a stability bound for the sinc basis on L2(-p,p). The difference between the two values a/p - 1/4, is ˜ 0.15, therefore the stability bound for the sinc basis on L2(-p,p) is greater than Kadec’s stability bound (i.e. 1/4).


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Paper Citation

in Harvard Style

Avantaggiati A., Loreti P. and Vellucci P. (2015). An Explicit Bound for Stability of Sinc Bases . In Proceedings of the 12th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO, ISBN 978-989-758-122-9, pages 473-480. DOI: 10.5220/0005512704730480

in Bibtex Style

author={Antonio Avantaggiati and Paola Loreti and Pierluigi Vellucci},
title={An Explicit Bound for Stability of Sinc Bases},
booktitle={Proceedings of the 12th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO,},

in EndNote Style

JO - Proceedings of the 12th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO,
TI - An Explicit Bound for Stability of Sinc Bases
SN - 978-989-758-122-9
AU - Avantaggiati A.
AU - Loreti P.
AU - Vellucci P.
PY - 2015
SP - 473
EP - 480
DO - 10.5220/0005512704730480