An Explicit Bound for Stability of Sinc Bases

Antonio Avantaggiati, Paola Loreti, Pierluigi Vellucci

2015

Abstract

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).

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

@conference{icinco15,
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,},
year={2015},
pages={473-480},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0005512704730480},
isbn={978-989-758-122-9},
}

in EndNote Style

TY - CONF
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