一、主 题:The method of similar operators in the spectral analysis of Dirac
operators and differential operators with an involution
二、主讲人:Ilya Krishtal
三、时 间:2018年7月20日,下午:14:00-15:00(周五)
四、地 点:闻理园A4-305室
摘要: Given a perturbed differential operator in a certain class, we construct an operator that is similar to the given one and has a much simpler structure of the perturbation. As a consequence, we obtain results on the asymptotics of the spectrum, convergence of the spectral decompositions, and the structure of the groups generated by the operators in question. In this talk, I will discuss recent results of this kind for one-dimensional Dirac operators and differential operators with an involution. The talk is based on the joint work with A. Baskakov and N. Uskova.
附个人简介:Ilya Krishtal, 男,俄罗斯人,北伊利诺伊大学教授,主要从事调和分析 (小波, 采样理论); 算子理论 (spectral theory, causal operators)等方面的研究。 迄今为止,在国际上有影响的刊物发表论文40余篇。
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