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Frames of p-adic wavelets and orbits of the affine group

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 نشر من قبل Sergei Kozyrev
 تاريخ النشر 2008
  مجال البحث فيزياء
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The general construction of frames of p-adic wavelets is described. We consider the orbit of a mean zero generic locally constant function with compact support (mean zero test function) with respect to the action of the p-adic affine group and show that this orbit is a uniform tight frame. We discuss relation of this result to the multiresolution wavelet analysis.



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