Regularity of the multidimensional scaling functions: estimation of the $L^{p}$-Sobolev exponent
Volume 25 / 1999
Applicationes Mathematicae 25 (1999), 431-447
DOI: 10.4064/am-25-4-431-447
Abstract
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.
