Holomorphic Operator Functions of One Variable and Applications 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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Israel Gohberg 作者

Birkhäuser Basel

译者

2009-08-06 出版日期

422 页数

USD 139.00 价格

Hardcover

丛书系列

9783034601252 图书编码

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Holomorphic Operator Functions of One Variable and Applications 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

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Holomorphic Operator Functions of One Variable and Applications 在线电子书 pdf 下载 txt下载 epub 下载 mobi 在线电子书下载

Holomorphic Operator Functions of One Variable and Applications 在线电子书图书描述

This is a book on holomorphic operator functions of a single variable and applications, which is focused on the relations between local and global theories. It is based on methods and technics of complex analysis of several variables. The first part of the theory starts with a straightforward generalization of some results from the basics of analysis of scalar functions of one complex variable. In the second part, which is the main part of the theory, results are obtained by methods and tools adapted from complex analysis of functions of several variables. We have in mind the theory of holomorphic cocycles (fiber bundles) with values in infinite-dimensional non-commutative groups. As a rule, these results do not appear in traditional complex analysis of one variable, not even for matrix valued cocycles. The third part consists of applications to operator theory. Here applications are presented for holomorphic families of subspaces and Plemelj-Muschelishvili factorization. The fourth part presents a generalization of the theory of cocycles to cocycles with restrictions. This part contains also applications to interpolation problems, to the problem of holomorphic equivalence and diagonalization.

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