Spectral Analysis of Differential Operators 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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Kholkin, Aleksandr M. 作者

World Scientific Pub Co Inc

译者

出版日期

438 页数

$ 134.15 价格

HRD

丛书系列

9789812562760 图书编码

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发表于2024-09-21

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Spectral Analysis of Differential Operators 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

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This is the first monograph devoted to the Sturm oscillatory theory for infinite systems of differential equations and its relations with the spectral theory. It aims to study a theory of self-adjoint problems for such systems, based on an elegant method of binary relations. Another topic investigated in the book is the behavior of discrete eigenvalues which appear in spectral gaps of the Hill operator and almost periodic Schr?dinger operators due to local perturbations of the potential (e.g., modeling impurities in crystals). The book is based on results that have not been presented in other monographs. The only prerequisites needed to read it are basics of ordinary differential equations and operator theory. It should be accessible to graduate students, though its main topics are of interest to research mathematicians working in functional analysis, differential equations and mathematical physics, as well as to physicists interested in spectral theory of differential operators.

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