泛函分析在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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K.Yosida著作者

世界图书出版公司

译者

1999-06-01 出版日期

500 页数

75.00元价格

Classics in Mathematics 丛书系列

9787506226110 图书编码

泛函分析在线电子书图书标签: 泛函分析数学 Mathematics Functional Analysis 泛函分析 Yosida

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泛函分析在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

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其实认真读过的是这本的一个缩略本，大概只有两三百页，主要内容差不多，感觉更适合本科生读，伍洪熙在他的书里面也推荐过，至于这本实在是有点儿厚了。。。

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个人感觉适合给研究生来看。。

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老板的菜

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deng god once said: this is a good book

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Riesz定理有界加法泛函可以用内积形式给出；傅里叶级数论不同于解析函数的泰勒展开引入了坐标基础是bessel不等式和完备性的parseval ；从希尔伯特空间的riese定理到一半赋范空间必须要 hahn -banach延拓定理有界线性泛函的存在定理弱收敛和强收敛的等价性导致了古典统计力学的基础遍历性就是时间平均和相空间平局；椭圆偏微分方程的基本定理外尔施瓦茨定理（弱解就是正规解）；一定条件下抛物和双曲的初值问题可以转换成椭圆方程的边值问题；fredholm就是把积分方程变换为无穷维的线性方程积分核等价于矩阵双线性；cayley变换自共轭算子的谱分解归结为酉算子的谱分解的关键；线性常微分施特姆刘维尔型边值问题的特征函数系的完全性可结合到该问题的格林函数做

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he present book is based on lectures given by the author at the University of Tokyo during the past ten years. It is intended as a textbook to be studied by students on their own or to be used in a course on Functional Analysis, i.e., the general theory of linear operators infunction spaces together with salient features of its application to diverse fields of modem and classical analysis. Necessary prerequisites for the reading of this book are summarized,with or without proof, in Chapter 0 under titles: Set Theory, Topological Spaces, Measure Spaces and Linear Spaces. Then, starting with the chapter on Semi-norms, a general theory of Banach and Hilbert spaces is presented in connection with the theory of generalized functions of S. L. SOBOLEV and L. SCHWARTZ. While the book is primarily addressed to graduate students, it is hoped it might prove useful to research mathematicians, both pure and applied. The reader may pass, e.g., fromChapter IX (Analytical Theory. of Semi-groups) directly to Chapter XIII (Ergodic Theory and Diffusion Theory) and to Chapter XIV (Integration of the Equation of Evolution). Such materials as "Weak Topologies and Duality in Locally Convex Spaces" and "Nuclear Spaces" are presented in the form of the appendices to Chapter V and Chapter X,respectively. These might be skipped for the first reading by those who are interested rather in the application of linear operators.

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