Sample Paths in Wavelet Theory

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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.
26 pages, LaTeX2e "elsart" document class

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Classical Analysis and ODEs, Functional Analysis, 42C40; 42A16; 43A65; 42A65

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http://salesiana.dossiersoluciones.com/handle/123456789/75560

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0506465
 http://arxiv.org/abs/math/0506465

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arXiv