Sierpinski-typespectral self-similar measures
Publication in refereed journal

香港中文大學研究人員

引用次數
替代計量分析
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其它資訊
摘要We consider the Sierpinski-type self-similar measure At, on R-2 with contraction ratio 0 < vertical bar rho vertical bar < 1, we show that mu(rho) is a spectral measure if and only if vertical bar rho vertical bar = 1/(3p) for some integer p > 0. A similar characterization for Bernoulli convolution is due to Dai [2], over which rho = 1/(2p). (C) 2015 Elsevier Inc. All rights reserved.
著者Deng QR, Lau KS
期刊名稱Journal of Functional Analysis,Journal of Functional Analysis
出版年份2015
月份9
日期1
卷號269
期次5
出版社ACADEMIC PRESS INC ELSEVIER SCIENCE
頁次1310 - 1326
國際標準期刊號0022-1236
電子國際標準期刊號1096-0783
語言英式英語
關鍵詞Orthonormal basis; Self-similar measure; Sierpinski gasket; Spectrum
Web of Science 學科類別Mathematics

上次更新時間 2021-24-02 於 01:22