The local trace function for super-wavelets
Abstract
We define an affine structure on ... and, following some ideas developed in Dut1, we construct a local trace function for this situation. This trace function is a complete invariant for a shift invariant subspace and it has a variety of properties which make it easily computable. The local trace is then used to give a characterization of super-wavelets and to analyze their multiplicity function, dimension function and spectral function. The "n×" oversampling result of Chui and Shi CS is refined to produce super-wavelets.
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