{"title":"Fractal hypersurfaces, affine Weyl groups, and wavelet sets","authors":"Peter Massopust","doi":"10.1007/s41478-023-00653-9","DOIUrl":null,"url":null,"abstract":"Abstract In this expository paper, we present some fundamental connections between iterated function systems, in particular those whose attractors are the graphs of multivariate real-valued fractal functions, and foldable figures, affine Weyl groups, and wavelet sets.","PeriodicalId":36029,"journal":{"name":"Journal of Analysis","volume":"21 1","pages":"0"},"PeriodicalIF":0.7000,"publicationDate":"2023-09-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Analysis","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1007/s41478-023-00653-9","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
Abstract In this expository paper, we present some fundamental connections between iterated function systems, in particular those whose attractors are the graphs of multivariate real-valued fractal functions, and foldable figures, affine Weyl groups, and wavelet sets.
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