Journal of Jilin University Science Edition

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Spectrality of Selfaffine Measures Generated byTriangle Expanding Matrix and Collinear Digit Set

GAO Guibao1,2, YAO Xiyan2   

  1. 1. College of Mathematics and Information Science, Shaanxi Normal University, Xi’an 710062, China;2. Department of Applied Mathematics, Yuncheng University, Yuncheng 044000, Shanxi Province, China
  • Received:2015-04-07 Online:2016-01-26 Published:2016-01-19
  • Contact: GAO Guibao E-mail:gaoguibao02@163.com

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Abstract:

We used a theorem given by Strichartz to discuss the spectrality of selfaffine measures of collinear digit set. We gave a method to deal with the spectrality with collinear case on R3.

Key words: iterated function system (IFS), selfaffine measure, collinear digit set, spectral measure, compatible pair

CLC Number: 

  • O174.2
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