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Multiresolution analysis for Markov Interval Maps
multiwavelets, multiresolution analysis, Markov interval maps
2011/8/23
Abstract: We set up a multiresolution analysis on fractal sets derived from limit sets of Markov Interval Maps. For this we consider the $\mathbb{Z}$-convolution of a non-atomic measure supported on t...
Downscaling, parameterization, decomposition, compression: a perspective from the multiresolution analysis
Downscaling parameterization decomposition compression aperspective multiresolution analysis
2010/9/13
Geophysical models in general, and atmospheric models more specifically, are always limited in spatial resolutions. Due to this limitation, we face with two different needs. The first is a need for kn...
Subdivision algorithm (Stationary or Non-stationary) is one of
the most active and exciting research topics in wavelet analysis
and applied mathematical theory. In multidimensional non-stationary
s...
A Construction of Multiresolution Analysis on Interval
Multiresolution analysis Refinable function Approximation order Subdivision operator
2007/12/11
For an integer $m \geq 4$, we define a set of $ 2^{[\frac m2]}\times 2^{[\frac m2]}$ matrices $\gamma_j(m), (j=0,1,\ldots,m-1)$ which satisfy $ \gamma_j(m)\gamma_k(m)+\gamma_k(m)\gamma_j(m)=2\eta_{jk}...