Gibbs’ phenomenon in higher dimensions

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• 作者：Hong-Tae Shim ; Hans Volkmer ; Gilbert G. Walter
• 关键词：Gibbs’ ; phenomenon ; Scaling function ; Non-separable wavelet ; Wavelet expansion
• 刊名：Journal of Approximation Theory
• 出版年：2007
• 期刊代码：71_00219045
• 类别：mt
• 出版时间：March 2007
• 卷：145
• 期：1
• 页码：20-32
• 文件大小：129 K

摘要

Gibbs’ phenomenon occurs for most orthogonal wavelet expansions in one dimension. It also exists in higher dimensions but fundamental concepts must be redefined. This is done for both separable and non-separable wavelet expansions in severable variables.