分形超曲面，仿射Weyl群和小波集

IF 0.7 Q2 MATHEMATICS

Journal of Analysis Pub Date : 2023-09-13 DOI:10.1007/s41478-023-00653-9

Peter Massopust

引用次数: 0

摘要

摘要本文给出了迭代函数系统，特别是以多元实值分形函数图为吸引子的迭代函数系统，与可折叠图、仿射Weyl群和小波集之间的一些基本联系。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Fractal hypersurfaces, affine Weyl groups, and wavelet sets

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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来源期刊

Journal of Analysis Mathematics-Algebra and Number Theory

CiteScore

1.50

自引率

25.00%

发文量

151

期刊介绍： All submitted manuscripts are subject to initial appraisal by the editorial board/assigned editor. If found suitable for further consideration, papers will be sent for peer-review. Selection for publication is on the basis of the report(s) from the referee(s) assigned by the editor(s). Papers dealing with applications of mathematical analysis will be limited to those that contain a signi?cant treatment of mathematics and not routine applications of mathematical analysis. All e?ort will be made to process papers e?ciently within a minimal amount of time.