Unitary systems and wavelet sets

Details Unitary systems and wavelet sets Unitary systems and wavelet sets

2006-04-28

arxiv.org/abs/math/0604619v1

Mathematics

Functional Analysis

This is a semi-expository article which was written by the author for the proceedings of the 4th International Conference on W

Scientific paper

We give a detailed description of the local commutant approach to wavelet
theory using operator algebraic methods. We include a new result on
interpolation pairs of wavelet sets: Every pair in the generalized Journe
family of wavelet sets is an interpolation pair. In the last section, we give a
discussion of several open problems on wavelets and frame-wavelets.

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