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Erschienen in:
2011 | OriginalPaper | Buchkapitel
Topics in pseudo-differential operators
verfasst von : R. Seeley
Erschienen in: Pseudo-differential Operators
Verlag: Springer Berlin Heidelberg
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The subject of pseudo-differential operators has sprung up in the last few years out of the earlier work of Giraud, Mihlin, and Calderon and Zygmund, and is still in the process of development. There are so many contributors to this development that the references given at the article are restricted to those papers actually referred to.
The first four chapters give the elementary theory of pseudo-differential operators, together with some fairly direct applications to elliptic problems on compact manifolds. The last two chapters sketch two more complicated applications, one to the study of the powers of an elliptic operators, and the other to boundary problems.