Mathematics – Classical Analysis and ODEs
Scientific paper
2005-06-22
Mathematics
Classical Analysis and ODEs
26 pages, LaTeX2e "elsart" document class
Scientific paper
We consider a class of convergence questions for infinite products that arise
in wavelet theory when the wavelet filters are more singular than is
traditionally built into the assumptions. We establish pointwise convergence
properties for the absolute square of the scaling functions. Our proofs are
based on probabilistic tools.
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