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On Biorthogonal p-Adic Wavelet Bases


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Resumo

Dual p-adic multiresolution analyses (MRAs) generated by scaling test functions are studied. It is proved that if two MRAs are dual, then each of them is the Haar MRA. A characterization of all biorthogonal wavelet systems associated with the Haar MRA is given for the case p = 2.

Sobre autores

E. King

University of Bremen

Autor responsável pela correspondência
Email: king@math.uni-bremen.de
Alemanha, Bremen

M. Skopina

St. Petersburg State University

Email: king@math.uni-bremen.de
Rússia, St. Petersburg

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