Gibbs' phenomenon in higher dimensions

Authors:
Hong-Tae Shim;Hans Volkmer;Gilbert G. Walter
Affiliations:
Department of Mathematics, Sunmoon University, Seoul 336-840, Republic of Korea;Department of Mathematical Sciences, University of Wisconsin-Milwaukee, USA;Department of Mathematical Sciences, University of Wisconsin-Milwaukee, USA
Venue:
Journal of Approximation Theory
Year:
2007

Citing 7
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Abstract

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.