Truncation Error on Wavelet Sampling Expansions |
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| Authors: | N Atreas C Karanikas |
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| Institution: | (1) Department of Mathematics, Aristotle University, Thessaloniki, 54006, Greece |
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| Abstract: | We estimate the truncation error of sampling expansions on translationinvariant spaces, generated by integer translations of a single functionand on wavelet subspaces of L
2(R). As a byproduct of themain result, we get the classical Jagerman's bound for Shannon's samplingexpansions. We also examine this error on certain wavelet sampling expansions. |
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| Keywords: | translation invariant spaces sampling truncation error wavelet subspaces multiresolution analysis |
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