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|Title:||Localization of the generalized sampling series and its numerical application|
|Authors:||Qian, L. |
Generalized sampling series
|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|
|Appears in Collections:||Staff Publications|
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