Abstract
The main purpose of this paper is to investigate the local error for the sampling problem in diverse situations. We find that the local error is heavily depending on the asymptotic behavior of the sampling function. By virtue of evaluating the decay of the sampling function, we give a local error estimation for uniform and non-uniform sampling in multiresolution analysis (MRA) and in shift-invariant spaces.
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Yang, SY., Lin, W. (2004). Local Sampling Problems. In: Bubak, M., van Albada, G.D., Sloot, P.M.A., Dongarra, J. (eds) Computational Science - ICCS 2004. ICCS 2004. Lecture Notes in Computer Science, vol 3037. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-24687-9_11
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DOI: https://doi.org/10.1007/978-3-540-24687-9_11
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