Symmetries in Projective Multiresolution Analyses |
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| Authors: | Kjetil Røysland |
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| Institution: | (1) Department of Mathematics, University of Oslo, PO Box 1053, Blindern, 0316 Oslo, Norway |
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| Abstract: | We give an equivariant version of Packer and Rieffel’s theorem on sufficient conditions for the existence of orthonormal wavelets
in projective multiresolution analysis. Suppose that the scaling functions are invariant with respect to some finite group
action. We give sufficient conditions for the existence of wavelets with similar invariance.
Research supported in part by the Research Council of Norway, project number NFR 154077/420. Some of the final work was also
done with the support from the project NFR 170620/V30. |
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| Keywords: | Projective multiresolution analysis Symmetric n-dimensional wavelets Equivariant vector bundles |
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