Geodesic
Regularity of the multidimensional scaling functions: estimation of the $L^{p}$-Sobolev exponent
Applicationes Mathematicae, Tome 25 (1999) no. 4, pp. 431-447

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The relationship between the spectral properties of the transfer operator corresponding to a wavelet refinement equation and the $L^p$-Sobolev regularity of solution for the equation is established.
DOI : 10.4064/am-25-4-431-447
Keywords: $L^p$-Sobolev exponent, transfer operator, refinement equation, scaling functions, spectral radius

Jarosław Kotowicz 1

1 
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Jarosław Kotowicz. Regularity of the multidimensional scaling functions: estimation of the $L^{p}$-Sobolev exponent. Applicationes Mathematicae, Tome 25 (1999) no. 4, pp. 431-447. doi: 10.4064/am-25-4-431-447

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