Localization of the generalized sampling series and its numerical application

Please use this identifier to cite or link to this item: https://doi.org/10.1137/04061845X

Title:	Localization of the generalized sampling series and its numerical application
Authors:	Qian, L. Creamer, D.B.
Keywords:	Error estimate Gaussian Generalized sampling series Localization Meyer wavelets
Issue Date:	2006
Citation:	Qian, L., Creamer, D.B. (2006). Localization of the generalized sampling series and its numerical application. SIAM Journal on Numerical Analysis 43 (6) : 2500-2516. ScholarBank@NUS Repository. https://doi.org/10.1137/04061845X
Abstract:	We study the localization of the sampling series with general kernel and obtain its error estimates. To achieve exponentially decaying accuracy for the series to approximate a band-limited function and its derivatives, a sufficient condition is given and a rigorous criterion is provided for the sampling to obtain any desired accuracy. The result includes several known results as special cases and gives new results about wavelet sampling series. © 2006 Society for Industrial and Applied Mathematics.
Source Title:	SIAM Journal on Numerical Analysis
URI:	http://scholarbank.nus.edu.sg/handle/10635/104811
ISSN:	00361429
DOI:	10.1137/04061845X
Appears in Collections:	Staff Publications

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