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Bibliographic Details
Main Authors: Davydov, Oleg, Tushev, Anatolii
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2508.01399
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Table of Contents:
  • We suggest a new method of basis construction for the kernel of a linear form on the Laurent polynomial module related to multivariate wavelets, and demonstrate its applications to box spline prewavelets, leading to small mask supports for $C^1$ cubic and $C^2$ quartic box splines in two variables, outperforming previously known constructions, and to trivariate piecewise linear prewavelets with at most 23 nozero mask coefficients.