微分算子谱分析

Spectral Analysis of Differential Operators

微分算子谱分析理论，由于其在理论与应用中的重要性，在一个多世纪的发展过程中，吸引了许多数学家的注意，相继出现了一些有价值的成果。本文综述了这一理论中的部分研究结果，同时指出了一些尚未彻底解决的问题。

The spectral theory of differential operators is an important subdivision of mathematics.In this paper,we mainly introduce the substances,the significances,the evolution and the research methods about such a theory,also set out and assess a variety of results and different kinds of methods,including classical and recent developments on the subject concerned,and prompts the research trends on this subject.