Geodesic
Approximation by Refinement Masks
Matematičeskie zametki, Tome 115 (2024) no. 3, pp. 385-391 Cet article a éte moissonné depuis la source Math-Net.Ru

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We construct a Parseval wavelet frame with a compact support for an arbitrary continuous $2\pi$-periodic function $f$, $f(0)=1$, satisfying the inequality $|f(x)|^2+|f(x+\pi)|^2\leqslant 1$. The frame refinement mask uniformly approximates $f$. The refining function has stable integer shifts.
Keywords: refinement mask, unitary extension principle, Parseval wavelet frame, stability of integer shifts, filter bank
Mots-clés : exact reconstruction. 
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     author = {E. A. Lebedeva},
     title = {Approximation by {Refinement} {Masks}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {385--391},
     year = {2024},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2024_115_3_a5/}
}
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E. A. Lebedeva. Approximation by Refinement Masks. Matematičeskie zametki, Tome 115 (2024) no. 3, pp. 385-391. http://geodesic.mathdoc.fr/item/MZM_2024_115_3_a5/

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