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Sample Paths in Wavelet Theory

Palle E. T. Jorgensen
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Abstract

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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Palle E. T. Jorgensen. 2005-06-22. Sample Paths in Wavelet Theory. https://arxiv.org/abs/math/0506465

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