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Wavelets and Hilbert Modules

Wood, Peter J


A Hilbert C*-module is a generalization of a Hilbert space for which the inner product takes its values in a C*-algebra instead of the complex numbers. We use the bracket product to construct some Hilbert C*-modules over a group C*-algebra which is generated by the group of translations associated with a wavelet. We shall investigate bracket products and their Fourier transform in the space of square integrable function s in Euclidean space. We will also show that some wavelets are associated...[Show more]

CollectionsANU Research Publications
Date published: 2004
Type: Journal article
Source: Journal of Fourier Analysis and Applications
DOI: 10.1007/s00041-004-0828-4


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