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On refinement masks of tight wavelet frames

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 نشر من قبل Elena A. Lebedeva
 تاريخ النشر 2020
  مجال البحث
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In the paper we obtain sufficient conditions for a trigonometric polynomial to be a refinement mask corresponding to a tight wavelet frame. The condition is formulated in terms of the roots of a mask. In particular, it is proved that any trigonometric polynomial can serve as a mask if its associated algebraic polynomial has only negative roots (at least one of them, of course, equals $-1$).



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