【和山数学论坛168期】北伊利诺伊大学教授Ilya Krishtal学术报告

信息来源:学院办公室 点击次数:发布时间:2018-07-20

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:2018720日,下午:14:00-15:00(周

四、地点:闻理园A4-305

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)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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