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奇异积分和函数的可微性-影印版

包邮奇异积分和函数的可微性-影印版

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  • ISBN:9787510035135
  • 装帧:一般胶版纸
  • 册数:暂无
  • 重量:暂无
  • 开本:16开
  • 页数:287
  • 出版时间:2011-06-01
  • 条形码:9787510035135 ; 978-7-5100-3513-5

本书特色

《奇异积分和函数的可微性(英文版)》是一部讲述奇异积分的教程。奇异积分是数学的三大分支之一分析的*主要和让读者*感兴趣的议题之一,主要研究实数和复数及其函数。《奇异积分和函数的可微性(英文版)》是作者在该领域做出的杰出贡献,这本书的*大成功之处在于在极具传奇色彩表达,将一些鲜为人知的,只有专家才能理解的材料表达的相当具有趣味性,让研究生初级阶段的初学者也可以容易理解。阅读这本书,不仅可以感觉到作者在这方面做出的伟大贡献,更能够激发读者对本学科的向往和积极探索精神。 施泰恩编写的《奇异积分和函数的可微性(英文版)》的应用范围特别广泛,不仅适用于有关专家学者,而且在工程,生物和金融等应用领域有极大的推动作用。

内容简介

  本书内容简介:this book is an outgrowth of a course which i gave at orsay duringthe academic year 1 966.67 my purpose in those lectures was to pre-sent some of the required background and at the same time clarify theessential unity that exists between several related areas of analysis.these areas are:the existence and boundedness of singular integral op-erators;the boundary behavior of harmonic functions;and differentia-bility properties of functions of several variables.as such the commoncore of these topics may be said to represent one of the central develop-ments in n.dimensional fourier analysis during the last twenty years,and it can be expected to have equal influence in the future.these pos.

目录

preface
notation
ⅰ.some fundamental notions of real.variable theory
 the maximal function
 behavior near general points of measurable sets
 decomposition in cubes of open sets in r”
 an interpolation theorem for l
 further results
ⅱ.singular integrals
 review of certain aspects of harmonic analysis in r”
 singular integrals:the heart of the matter
 singular integrals:some extensions and variants of the
 preceding
 singular integral operaters which commute with dilations
 vector.valued analogues
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