Traces and Determinants of Pseudodifferential Operators 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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Scott, Simon 作者

译者

2010-8 出版日期

696 页数

$ 146.90 价格

丛书系列

9780198568360 图书编码

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Traces and Determinants of Pseudodifferential Operators 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

Traces and Determinants of Pseudodifferential Operators 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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Traces and Determinants of Pseudodifferential Operators 在线电子书 pdf 下载 txt下载 epub 下载 mobi 在线电子书下载

Traces and Determinants of Pseudodifferential Operators 在线电子书图书描述

Trace and determinant functionals on operator algebras provide a means of constructing invariants in analysis, topology, differential geometry, analytic number theory, and quantum field theory. The consequent developments around such invariants have led to significant advances both in pure mathematics and theoretical physics. As the fundamental tools of trace theory have become well understood and clear general structures have emerged, so the need for specialist texts which explain the basic theoretical principles and computational techniques has become increasingly urgent. Providing a broad account of the theory of traces and determinants on algebras of differential and pseudodifferential operators over compact manifolds, this text is the first to deal with trace theory in general, encompassing a number of the principle applications and backed up by specific computations which set out in detail the nuts-and-bolts of the basic theory. Both the microanalytic approach to traces and determinants via pseudodifferential operator theory and the more computational approach directed by applications in geometric analysis, are developed in a general framework that will be of interest to mathematicians and physicists in a number of different fields.

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