1. On spectral N-Bernoulli measures.
- Author
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Dai, Xin-Rong, He, Xing-Gang, and Lau, Ka-Sing
- Subjects
- *
SPECTRAL theory , *BERNOULLI effect (Fluid dynamics) , *MEASURE theory , *INTEGERS , *SELF-similar processes , *MATHEMATICAL proofs - Abstract
Abstract: For and an integer, let μ be the self-similar measure defined by . We prove that has an exponential orthonormal basis if and only if for some and N divides q. The special case is the Cantor measure with and [16], which was proved recently to be the only spectral measure among the Bernoulli convolutions with [4]. [Copyright &y& Elsevier]
- Published
- 2014
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