报告时间：2024 年 4 月25日（周四） 14:55—15:40
报告专家：Montes Rodriguez 教授
主持人：姚卫 教授
报告地点：藕舫楼724
报告摘要：
A pair (Γ, Λ), where Γ is a locally rectifiable curve and Λ is a Heisenberg uniqueness pair if an absolutely continuous finite complex-valued Borel measure supported on Γ whose Fourier transform vanishes on Λ necessarily is the zero measure. The Fourier transform of a measure supported on a hyperbola solves the one-dimensional Klein-Gordon equation, so the theorem supplies discrete uniqueness sets for a class of solutions to this equation. The proof involved ideas from Ergodic Theory. Our approach involves a splitting of the Hilbert kernel, as induced by the transfer operator. The careful analysis of this splitting involves handling the Hurwitz zeta function as well as to the theory of totally positive matrices.
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数学与统计学院
江苏省应用数学（南京信息工程大学）中心
江苏省系统建模与数据分析国际合作联合实验室
2024 年4 月24日
专家简介
Professor Montes Rodriguez is a visiting professor at the University of Reading and professor at the University of Seville. He is an expert in mathematical analysis, in particular complex analysis and operator theory with links to several other areas of mathematics, including dynamical systems and harmonic analysis. His recent work on the Perron-Frobenius operators arise naturally from the analysis of solutions to the one-dimensional Klein-Gordon’s equation, which describes a relativistic quantum particle with no spin.
