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1. The spectral eigenvalues of a class of product-form self-similar spectral measure

Author

Xiao-yu, Yan and Wen-hui, Ai

Subjects
Mathematics - Functional Analysis, 28A80, 42C05
Abstract

Let \mu_{M,D} be the self-similar measure generated by the positive integer M=RN^q and the product-form digit set D=\{0,1,\dots,N-1\}\oplus N^{p_1}\{0,1,\dots,N-1\}\oplus \cdots \oplus N^{p_s}\{0,1,\dots,N-1\}, where R>1, N>1, q, p_i(1\leq i\leq s) are positive integers with gcd(R,N)=1 and p_1

Published
2024

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