On spectral N-Bernoulli measures
Publication in refereed journal

香港中文大學研究人員

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其它資訊
摘要For 0 < rho < 1 and N > 1 an integer, let mu be the self-similar measure defined by mu(center dot) = Sigma(N-1)(i=0) 1/N mu(rho(-1)(center dot) - i). We prove that L-2(mu) has an exponential orthonormal basis if and only if rho = 1/q for some q > 0 and N divides q. The special case is the Cantor measure with rho = 1/2k and N = 2 [16], which was proved recently to be the only spectral measure among the Bernoulli convolutions with 0 < rho < 1 [4]. (C) 2014 Elsevier Inc. All rights reserved.
著者Dai XR, He XG, Lau KS
期刊名稱Advances in Mathematics
出版年份2014
月份7
日期10
卷號259
出版社Elsevier
頁次511 - 531
國際標準期刊號0001-8708
電子國際標準期刊號1090-2082
語言英式英語
關鍵詞Bernoulli convolution; Bi-zero set; Fourier transform; Orthogonal; Self-similar; Spectral measure; Spectrum
Web of Science 學科類別Mathematics; MATHEMATICS

上次更新時間 2021-23-02 於 00:17