Sample Paths in Wavelet Theory

Mathematics – Classical Analysis and ODEs

Scientific paper

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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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