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Analysis of Refinable Vector Functions
2017As we discussed in Chap. 4, framelets and wavelets are often derived from a refinable vector function \(\phi = (\phi _{1},\ldots,\phi _{r})^{\mathsf{T}}\) satisfying the following refinement equation.
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Functions and Procedures in Refinement
1997The rules for introducing procedures and procedure calls will be illustrated using some familiar examples.
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On the volume of sets bounded by refinable functions
Applied Mathematics and Computation, 2016J. Hakenberg, U. Reif
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Composition and functions of bacterial membrane vesicles
Nature Reviews Microbiology, 2023Masanori Toyofuku +2 more
exaly
Step Refinable Functions and Orthogonal MRA on Vilenkin Groups
, 2014S. F. Lukomskii
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Quasi-interpolatory refinable functions and construction of biorthogonal wavelet systems
Advances in Computational Mathematics, 2010Hong Oh Kim, R. Kim, Y. Lee, Jungho Yoon
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Gene regulation by long non-coding RNAs and its biological functions
Nature Reviews Molecular Cell Biology, 2020Luisa Statello +2 more
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Refinable Functions and Cascade Algorithms in Weighted Spaces with Hölder Continuous Masks
SIAM Journal on Mathematical Analysis, 2008B. Han
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Refinable Functions with Exponential Decay: An Approach via Cascade Algorithms
, 2011R. Jia, Song Li
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