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math.NA2018
Multiple multivariate subdivision schemes: matrix and operator approaches
Maria Charina, Thomas Mejstrik
This paper extends the matrix based approach to the setting of multiple subdivision schemes studied in [Sauer 2012]. Multiple subdivision schemes, in contrast to stationary and non…
math.NA2018
Optimal Hölder-Zygmund exponent of semi-regular refinable functions
Maria Charina, Costanza Conti, Lucia Romani +2
The regularity of refinable functions has been investigated deeply in the past 25 years using Fourier analysis, wavelet analysis, restricted and joint spectral radii techniques. Ho…