泛函分析 pdf epub mobi txt 電子書下載 2024

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K.Yosida著

世界圖書齣版公司

1999-06-01

500

75.00元

Classics in Mathematics

9787506226110

圖書標籤: 泛函分析數學 Mathematics Functional Analysis 泛函分析 Yosida

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发表于2024-11-22

泛函分析 epub 下載 mobi 下載 pdf 下載 txt 電子書下載 2024

泛函分析 pdf epub mobi txt 電子書下載 2024

圖書描述

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.

泛函分析下載 mobi epub pdf txt 電子書

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圖書目錄

泛函分析 pdf epub mobi txt 電子書下載

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算是老書，老師們都是推薦它，確實寫的有與眾不同的感覺

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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內積形式給齣；傅裏葉級數論不同於解析函數的泰勒展開引入瞭坐標基礎是bessel不等式和完備性的parseval ；從希爾伯特空間的riese定理到一半賦範空間必須要 hahn -banach延拓定理有界綫性泛函的存在定理弱收斂和強收斂的等價性導緻瞭古典統計力學的基礎遍曆性就是時間平均和相空間平局；橢圓偏微分方程的基本定理外爾施瓦茨定理（弱解就是正規解）；一定條件下拋物和雙麯的初值問題可以轉換成橢圓方程的邊值問題；fredholm就是把積分方程變換為無窮維的綫性方程積分核等價於矩陣雙綫性；cayley變換自共軛算子的譜分解歸結為酉算子的譜分解的關鍵；綫性常微分施特姆劉維爾型邊值問題的特徵函數係的完全性可結閤到該問題的格林函數做

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