Geodesic
Refinement masks of tight wavelet frames
Zapiski Nauchnykh Seminarov POMI, Investigations on applied mathematics and informatics. Part I, Tome 499 (2021), pp. 53-66 Cet article a éte moissonné depuis la source Math-Net.Ru

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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 nonpositive roots (at least one of them, of course, equals $-1$). 
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     author = {E. A. Lebedeva and I. A. Sherbakov},
     title = {Refinement masks of tight wavelet frames},
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     url = {http://geodesic.mathdoc.fr/item/ZNSL_2021_499_a4/}
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E. A. Lebedeva; I. A. Sherbakov. Refinement masks of tight wavelet frames. Zapiski Nauchnykh Seminarov POMI, Investigations on applied mathematics and informatics. Part I, Tome 499 (2021), pp. 53-66. http://geodesic.mathdoc.fr/item/ZNSL_2021_499_a4/

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