与光滑流形上的非同态有关的算子的椭圆理论
Elliptic theory for operators associated with diffeomorphisms of smooth manifolds
摘要：
本文综述了与光滑流形上的双同态有关的算子的椭圆理论。这样的算子自然出现在分析、几何和数学物理中。我们调查经典的结果，以及最近获得的结果。本文由引言和三个部分组成。在引言中，我们给出了研究领域的总体概述。为了读者的方便，我们在这里尽量少用特殊术语。在剩下的部分中，我们给出了在引言中提到的最重要结果的详细公式。
英文摘要：
In this paper we give a survey of elliptic theory for operators associated with diffeomorphisms of smooth manifolds. Such operators appear naturally in analysis, geometry and mathematical physics. We survey classical results as well as results obtained recently. The paper consists of an introduction and three sections. In the introduction we give a general overview of the area of research. For the reader's convenience here we tried to keep special terminology to a minimum. In the remaining sections we give detailed formulations of the most important results mentioned in the introduction.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
