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Wavelet subspaces invariant under groups of translation operators |
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| Authors: | |
| Institution: | (1) Department of Mathematics, Indian Institute of Technology, 208 016 Kanpur, India;(2) Statistics and Mathematics Unit, Indian Statistical Institute, 203 B.T. Road, 700 108 Kolkata, India |
| Abstract: | We study the action of translation operators on wavelet subspaces. This action gives rise to an equivalence relation on the set of all wavelets. We show by explicit construction that each of the associated equivalence classes is non-empty. |
| Keywords: | Wavelet multiresolution analysis multiresolution analysis wavelet minimally supported frequency wavelet wavelet set translation invariance |
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