报告人：陆正义 讲师（湖南大学）

时间：2025年12月16日 09:30-

腾讯会议ID：405 830 573

摘要：In this talk, we study harmonic analysis in self-similar measures. Let m be the self-similar measures associated to Hadamard triples. We prove that the integer set T, consisting of all integers t for which (q,D,tL) remains a Hadamard triple, contains all integers coprime to q and itself constitutes a spectral eigenvalue set for m. Moreover, for any prescribed Beurling dimension s between zero and the Hausdorff dimension of the measure’s support, we show that the corresponding spectra have the cardinality of the continuum. This presentation will focus on outlining the methods for constructing spectra.

邀请人：数学研究中心

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