Wavelet sets in ℝ n

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dc.contributor.authorDai, Xingde.
dc.contributor.authorLarson, David R.
dc.contributor.authorSpeegle, Darrin m.
dc.date.accessioned2019-05-08T13:21:08Z
dc.date.available2019-05-08T13:21:08Z
dc.date.issued2015-06-18
dc.description.abstractA congruency theorem is proven for an ordered pair of groups of homeomorphisms of a metric space satisfying an abstract dilation-translation relationship. A corollary is the existence of wavelet sets, and hence of single-function wavelets, for arbitrary expansive matrix dilations on L 2 (ℝ n). Moreover, for any expansive matrix dilation, it is proven that there are sufficiently many wavelet sets to generate the Borel structure ofℝ n.en_US
dc.identifier.urihttps://doi.org/10.1007/BF02649106
dc.identifier.urihttp://erepository.kibu.ac.ke/handle/123456789/900
dc.language.isoenen_US
dc.publisherCouncil for innovative researchen_US
dc.rightsAttribution-NonCommercial-ShareAlike 3.0 United States*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/3.0/us/*
dc.subjectMeasurable subseten_US
dc.subjectNonempty interioren_US
dc.subjectOrthogonal waveleten_US
dc.subjectOrthonormal waveleten_US
dc.subjectMeasurable partitionen_US
dc.titleWavelet sets in ℝ nen_US
dc.typeArticleen_US

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