Approximation from shift-invariant spaces |
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| Authors: | G C Kyriazis |
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| Institution: | 1. Department of Mathematics, Purdue University, 1395 Mathematical Sciences Building, 47907-1395, West Lafayette, Indiana, USA
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| Abstract: | We give sufficient conditions on a single function ? so that the principal shift-invariant space generated by ? provides a prescribed order of approximation inL p (R d ), 1<p<∞, and inH p (R d ), 0<p≤1. In particular, our conditions are given in terms of $\hat \varphi$ and are satisfied even when ? does not decay quickly at infinity. |
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