Gibbs' phenomenon for sampling series and what to do about it |
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| Authors: | Gilbert G. Walter Hong-Tae Shim |
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| Affiliation: | (1) Department of Mathematical Sciences, University of Wisconsin-Milwaukee, 53201 Milwaukee, WI;(2) Department of Mathematics, Sun Moon University, Seoul, Korea |
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| Abstract: | Gibbs' phenomenon occurs for most orthogonal wavelet expansions. It is also shown to occur with many wavelet interpolating series, and a characterization is given. By introducing modifications in such a series, it can be avoided. However, some series that exhibit Gibbs' phenomenon for orthogonal series do not for the associated sampling series. |
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| Keywords: | 42C15 94A12 |
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