找回密码
 To register

QQ登录

只需一步,快速开始

扫一扫,访问微社区

Titlebook: Continuity, Integration and Fourier Theory; Adriaan C. Zaanen Textbook 1989 Springer-Verlag GmbH Germany, part of Springer Nature 1989 Ext

[复制链接]
查看: 12459|回复: 41
发表于 2025-3-21 17:18:15 | 显示全部楼层 |阅读模式
书目名称Continuity, Integration and Fourier Theory
编辑Adriaan C. Zaanen
视频videohttp://file.papertrans.cn/237/236981/236981.mp4
丛书名称Universitext
图书封面Titlebook: Continuity, Integration and Fourier Theory;  Adriaan C. Zaanen Textbook 1989 Springer-Verlag GmbH Germany, part of Springer Nature 1989 Ext
描述This book is a textbook for graduate or advanced undergraduate students in mathematics and (or) mathematical physics. It is not primarily aimed, therefore, at specialists (or those who wish to become specialists) in integra­ tion theory, Fourier theory and harmonic analysis, although even for these there might be some points of interest in the book (such as for example the simple remarks in Section 15). At many universities the students do not yet get acquainted with Lebesgue integration in their first and second year (or sometimes only with the first principles of integration on the real line ). The Lebesgue integral, however, is indispensable for obtaining a familiarity with Fourier series and Fourier transforms on a higher level; more so than by us­ ing only the Riemann integral. Therefore, we have included a discussion of integration theory - brief but with complete proofs - for Lebesgue measure in Euclidean space as well as for abstract measures. We give some emphasis to subjectsof which an understanding is necessary for the Fourier theory in the later chapters. In view of the emphasis in modern mathematics curric­ ula on abstract subjects (algebraic geometry, algebraic topolo
出版日期Textbook 1989
关键词Extension; Fourier series; Fourier transform; Hilbert space; differential equation; mathematical physics;
版次1
doihttps://doi.org/10.1007/978-3-642-73885-2
isbn_softcover978-3-540-50017-9
isbn_ebook978-3-642-73885-2Series ISSN 0172-5939 Series E-ISSN 2191-6675
issn_series 0172-5939
copyrightSpringer-Verlag GmbH Germany, part of Springer Nature 1989
The information of publication is updating

书目名称Continuity, Integration and Fourier Theory影响因子(影响力)




书目名称Continuity, Integration and Fourier Theory影响因子(影响力)学科排名




书目名称Continuity, Integration and Fourier Theory网络公开度




书目名称Continuity, Integration and Fourier Theory网络公开度学科排名




书目名称Continuity, Integration and Fourier Theory被引频次




书目名称Continuity, Integration and Fourier Theory被引频次学科排名




书目名称Continuity, Integration and Fourier Theory年度引用




书目名称Continuity, Integration and Fourier Theory年度引用学科排名




书目名称Continuity, Integration and Fourier Theory读者反馈




书目名称Continuity, Integration and Fourier Theory读者反馈学科排名




单选投票, 共有 1 人参与投票
 

0票 0.00%

Perfect with Aesthetics

 

0票 0.00%

Better Implies Difficulty

 

1票 100.00%

Good and Satisfactory

 

0票 0.00%

Adverse Performance

 

0票 0.00%

Disdainful Garbage

您所在的用户组没有投票权限
发表于 2025-3-22 00:09:43 | 显示全部楼层
发表于 2025-3-22 03:35:31 | 显示全部楼层
https://doi.org/10.1007/978-3-319-69886-1ormly by polynomials, i.e., for any є > 0 there exists a polynomial P. such that |.(.)–. (.) | < є holds for all . ∈ .. In other words, ||.–.|| < є, where || • || denotes the uniform norm in .(.). Equivaiently, we may say that there exists a sequence (. : n = 1,2,…) of polynomials such that ||.–.||
发表于 2025-3-22 08:30:02 | 显示全部楼层
https://doi.org/10.1007/978-3-319-69886-1. = 1 if . = . and . = 0 if . ≠ .. For our second definition, let (.: . = 0, ±1, ±2,...) be a set of real or complex functions, defined on the subset . of ℝ.. The set (.) is called an . (or .) on . if . is the complex conjugate of . and . stands for .… . Of course, the definition makes sense only if
发表于 2025-3-22 11:17:49 | 显示全部楼层
发表于 2025-3-22 13:05:50 | 显示全部楼层
https://doi.org/10.1007/978-3-319-69886-1riants, one for sums and one for integrals. The original variant for integrals of continuous functions or Riemann integrable functions was extended to measurable functions without additional difficulties.
发表于 2025-3-22 18:31:15 | 显示全部楼层
发表于 2025-3-22 22:39:15 | 显示全部楼层
发表于 2025-3-23 04:50:04 | 显示全部楼层
发表于 2025-3-23 08:09:07 | 显示全部楼层
Continuity, Integration and Fourier Theory978-3-642-73885-2Series ISSN 0172-5939 Series E-ISSN 2191-6675
 关于派博传思  派博传思旗下网站  友情链接
派博传思介绍 公司地理位置 论文服务流程 影响因子官网 吾爱论文网 大讲堂 北京大学 Oxford Uni. Harvard Uni.
发展历史沿革 期刊点评 投稿经验总结 SCIENCEGARD IMPACTFACTOR 派博系数 清华大学 Yale Uni. Stanford Uni.
QQ|Archiver|手机版|小黑屋| 派博传思国际 ( 京公网安备110108008328) GMT+8, 2025-8-15 04:13
Copyright © 2001-2015 派博传思   京公网安备110108008328 版权所有 All rights reserved
快速回复 返回顶部 返回列表