Papers by Keyword: Polar Decomposition

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Authors: Bao Min Yu
Abstract: Wavelet analysis has been a powerful tool for exploring and solving many complicated problems in natural science and engineering computation. In this paper, we investigate the existence of matrix-valued wavelet associated with a matrix-valued multireslution analysis. By using operator polar decomposition, we provide a new proof for the existence of matrix-valued wavelets. We prove that, like in the scalar case, every matrix-valued multiresolution analysis guarantees the existence of an orthogonal matrix-valued wavelet.
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