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arXiv:2306.14524 [math.CA]AbstractReferencesReviewsResources

Approximation by refinement masks

Elena A. Lebedeva

Published 2023-06-26Version 1

In the paper we design a Parseval wavelet frame with a compact support. The corresponding refinement mask uniformly approximates an arbitrary continuous periodic function $f$, $f(0)=1$, $|f(x)|^2+|f(x+\pi)|^2\le 1$. The refinable function has stable integer shifts.

Comments: 6 pages. arXiv admin note: substantial text overlap with arXiv:2207.08252
Categories: math.CA
Subjects: 42C40
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