Localization of the generalized sampling series and its numerical application

Authors:
Liwen Qian;Dennis B. Creamer
Affiliations:
-;-
Venue:
SIAM Journal on Numerical Analysis
Year:
2006

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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.