On dyadic multiwavelet transform
Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 2 (2010), pp. 57-71

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In the paper continuous and dyadic multiwavelet transforms and dyadic multiwavelets are defined. The author considers admissibility condition. The theorem about signal reconstruction from its multiwavelet decomposition and analogs of other theorems from the theory of wavelets are proved.
Keywords: multiwavelet, multiscaling function, multiresolution analysis of multiplicity $r$, continuous multiwavelet transformation
Mots-clés : dyadic multiwavelet transformation.
@article{VSGU_2010_2_a5,
     author = {P. G. Severov},
     title = {On dyadic multiwavelet transform},
     journal = {Vestnik Samarskogo universiteta. Estestvennonau\v{c}na\^a seri\^a},
     pages = {57--71},
     publisher = {mathdoc},
     number = {2},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSGU_2010_2_a5/}
}
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P. G. Severov. On dyadic multiwavelet transform. Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 2 (2010), pp. 57-71. http://geodesic.mathdoc.fr/item/VSGU_2010_2_a5/