A Course in Abstract Harmonic Analysis (Studies in Advanced Mathematics) pdf epub mobi txt 电子书下载 2024

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Folland

CRC-Press

1995-02-01

288

USD 89.95

Hardcover

9780849384905

图书标签: 数学调和分析 Analysis 调和分析7 Mathematics Harmonic_Analysis Harmonic

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A Course in Abstract Harmonic Analysis (Studies in Advanced Mathematics) epub 下载 mobi 下载 pdf 下载 txt 电子书下载 2024

A Course in Abstract Harmonic Analysis (Studies in Advanced Mathematics) pdf epub mobi txt 电子书下载 2024

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Abstract theory remains an indispensable foundation for the study of concrete cases. It shows what the general picture should look like and provides results that are useful again and again. Despite this, however, there are few, if any introductory texts that present a unified picture of the general abstract theory. "A Course in Abstract Harmonic Analysis" offers a concise, readable introduction to Fourier analysis on groups and unitary representation theory.After a brief review of the relevant parts of Banach algebra theory and spectral theory, the book proceeds to the basic facts about locally compact groups, Haar measure, and unitary representations, including the Gelfand-Raikov existence theorem. The author devotes two chapters to analysis on Abelian groups and compact groups, then explores induced representations, featuring the imprimitivity theorem and its applications. The book concludes with an informal discussion of some further aspects of the representation theory of non-compact, non-Abelian groups.

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banach代数和谱论。本质是介绍的傅里叶变换的群论方面，基本的思想来源是实直线的傅里叶变换 R是局部紧群 exp2πixs是它的不可约表示变换是L1R上的gelfand变换平移不变量L2R算子的代数的谱分解，R的正则表示的分解到它的不可约组分。局部紧群的酉表示论：Schur 引理局部紧群G的酉表示和L1G的*表示关系；Gelfand -Raikov存在定理不可约表示：循环表示和正定函数 Gelfand-Naimark 理论也是交换C*代数的结构定理： C*代数等距*同构于希尔伯特空间的有界算子的代数的C*子代数

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A Course in Abstract Harmonic Analysis (Studies in Advanced Mathematics) epub 下载 mobi 下载 pdf 下载 txt 电子书 下载 2024

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A Course in Abstract Harmonic Analysis (Studies in Advanced Mathematics) pdf epub mobi txt 电子书下载 2024

A Course in Abstract Harmonic Analysis (Studies in Advanced Mathematics) epub 下载 mobi 下载 pdf 下载 txt 电子书下载 2024

A Course in Abstract Harmonic Analysis (Studies in Advanced Mathematics) epub 下载 mobi 下载 pdf 下载 txt 电子书下载 2024