2002•Acta Scientiarum Naturalium Universitatis SunyatseniRequires access

A Sufficient and Necessary Condition for Biorthogonal Scaling Functions

Yishu Liu

Abstract

In the theroy of multiscale analysis,orthogonality and biorthogonality of wavelets can be characterized by their corresponding filting funcitons.An improvement of the characterization for biorthogonality,which is an sufficient and necessary condition and valid for both orthogonality and biorthogonality,is obtained.

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Key concepts: Biorthogonal system, Orthogonality, Mathematics, Wavelet, Scaling, Characterization (materials science), Multiresolution analysis, Pure mathematics